Yes, ma'am Man, we got a, we got a, hey man, we got a young man in here today, a special guest, man Hey, man, I've been, hey, I started researching you And I seen you, man, I was like, man, let's do some special, man I appreciate that Real talk, man, BFG Strap is in the BFG Yeah, I appreciate that, man You know what I'm saying? He hear a baby, he made it Yeah, yeah, yeah I love, I love, I love what you're doing I've looked at the interviews, I looked at, I listened to the music We needed something I appreciate it And I think you that's something that we need, real talk And I'm not just telling you, cause I'm hard on everybody Yeah You know, and usually I don't like the music, I ain't gonna lie to you A lot of times I like, dang, man, you know, this one ain't it But I mean, I even started thinking about a little baby When I looked at you, I was like, man, this dude got this dude young And he's talented I appreciate that, it's the I love, I love Yeah, yeah The show But I want to know where the name BFG Strap came from Man, my name came from like, BFG was like a group that we put together when I was a kid You know, like, it's still like a family, probably like 15, 14, something like that And like, it started still a family, so I still go by, you know, BFG But my name was, they used to call me Nooski Like, but I ain't really like my name like that, you know So they used to just start calling me, you know, Strap So I just ran with that And then They call you Strap, cause you always Strap? Yeah, yeah, yeah I tried to put it in a different way Oh, okay Yeah, they call me Strap, cause I'm always Strap That was a good one right there And then you spelt it with a double A Yeah That's creative, I like that I think, I'm thinking, thinking, that's cause I'm different I just want to be different I just want to be, I ain't want to do it And like really, I don't even know that nobody's name Strap I don't really know too many people that's Me neither The name's just Strap, if you feel me So it's like when I pick my name, it's like Not too many people named like other rappers, you know what I'm saying Everybody got a unique name, you know what I'm saying So my name gotta be unique, I ain't want to You know what I'm saying So I ain't never heard nobody say Strap before Yeah Before I became Strap, so But then with a person with that name You think that they're gonna always be rapping about guns and stuff like that So is there, cause you do have that in some of your music Yeah But is there ever gonna be a time when you're gonna elevate from that Yeah, that's what I'm trying to do right now I've seen some already Yeah, I got some, I got some I've seen some, that's what messes me up about you Yeah, I got some out there That'll refresh the memory on that level right there You know, but like I really got some in the vault right now A lot of music that's different I really rap different Like the way I rap, I can talk Okay look, everybody rapping about the same thing Regardless of everybody But it's the way you rap It's how you rap, it's deliverance or flow If you got a unique style, you're trying to be like him You know what I'm saying So I feel like, you know, no matter what You feel it yourself But then The reason why I was asking you that Because you're gonna always have that name For sure But then you're gonna try to rap something different For sure You know, because that's why some people Because I remember when Fat Pimp came on here And he was like, he wanted to get rid of that name Because a lot of people when they look at him They'll be like, are you really a pimp? You know what I mean? But then, and as you got older You want to go to schools and talk But with that name, you know Sometimes they look at you a certain way But he didn't, you know He didn't do that anymore because of what Some paperwork stuff But not only paperwork I mean, he learned to live with it Sometimes things happen and you learn to live with it And the CD had already embraced him as that So it's hard to step away from that But West Dallas You from West Dallas Originally, how long, how old was you when you left West Dallas? I was like, probably like... Probably like nine to ten Nine to ten? Yeah, about nine to ten So you remember where you was at over there? Rupert Circle, Fish Trap? Yeah, Rupert Circle I just drove through there yesterday Did you? Yeah, I think I drove through there today Yeah, yeah, yeah Yeah, so I had a part of that cane Over there, man Yeah, I love it, I love it Yeah, and my cousins, all of them I always talk about them and the Rambo's All the Rambo's my people I probably gotta go They older Oh, okay, okay, okay Gamma niggas, man Yeah, all them niggas gamma Gamma on everything they do You know what I'm saying? Yeah, not over it But let's go back to before that I know you were born in prison, right? Yeah And how... Did you go into foster care after that Or did you go with...  Nah, like, he raised me Like, my mama and my daddy in my life I'm not one of the ones that'd be like I ain't have a daddy or I ain't have a mama I have both my parents But my daddy was just in out of jail So my mama was raising me But my daddy just never had me For just a long period of time Until he even raised me See what I'm saying?  Is he real big on snakes?  He was the one that just You know, made sure that Like I got in the studio You know, like they was doing songs And they was going way harder than You know what I'm saying So then they'll be like Should I come get on the song And they know I don't They know I'm rapping with a deep voice I don't really know what I'm doing They still putting me on songs You know, he still You know, so he was Motivating me for show He motivated me for show Wow And so I know it was He's feeling like a rock star, Sweeney You know, that song Right now it's over a million views But it's like That was after he had passed, right? Yeah, that was after he passed Yeah But that song was dope, man It's still, man So how did y'all come up with that? I really didn't even come up with it My brother came up with it Okay So they let He came up with it I think one day he was listening The music came out He was like, I got a song The one who wrote Who rapped in the chorus The one who sang Yeah, yeah, yeah He was like, I got a song So we heard it He's going out We go make the song So we make the song Drop it in it Just blow up Wow Post it on there Yeah And that was I think that was heavy, man When I think about You know The way that It's jamming right now When I listen to it today Yeah, nigga, I just listen to it today I ain't been listening to it like that I ain't gonna lie I tapped in You know, Sean Cotton All of them been on this show And I went down that hole Looking to see who you was Okay, let me find Nigga, don't come on the ball So I one on one You ain't gonna show up On my platform Then when I looked I seen your dirty glove bath I seen I was like, this nigga been working So I was excited about that Cause you don't really These niggas coming on here They ain't got no catalog on my nigga I'm gonna be real with you They coming on here They like, nigga Yeah, that's what an old school nigga Call them like You know what I'm saying They like, nigga And they ain't got enough Essence to them To even have a Like a good conversation Let's be real You know, I got A whole bunch of stuff here I can talk to you about But a lot of time People is flexing With fake views They don't have no They ain't got no manager Either a lot of time These niggas are just showing up And when they get here That you know They ask Can they come on the show They come on the show And some of them don't Are not equal How important is it To have a good team around you? It's very important Because without a team You're gonna fall Like a lot of people think That they can do it by That by themselves But you can't You can't do this by yourself For sure Like, unless you just Know somebody You know And you just didn't do it By yourself because They knew the person You know, they just Can't But I feel like not right now Like you can't People can't You know, so But to you Having a team I'm sorry, go ahead Having a team Like it's Because you gotta have Okay, you gotta have Security guards Make sure you don't get Touched You know what I'm saying Because it's a lot of hate And a lot of end A lot of jealousy Going on So you gotta Make sure you got Security Then You gotta make sure Your boys, right You know, everybody That's hanging with you Right now Flowing Bro, I just had a conversation With a nigga that's with I ain't gonna say his name But he was some very Important people I said, look, man You got the wrong niggas around Why you take the niggas with you?  Yeah, me too You know, I just I want to see the city Come together I've had everybody On here telling them How can we bring The city together? That's my main thing How can we do it? You know, I know everybody Gonna have the issues But when it comes down To it, when we do the music When it comes down To the business That's why I like Atlanta Because I feel like A lot of time They put the music Before the issues And we got to get there And we're not there yet Because we don't have The right people And the right places To make sure that The structure is there You know what I mean? So I look at all that Man, I've been Doing business a lot This store been here Fifteen years, man And I had Seven of them in Dallas Yeah, remember? Yes, sir I ain't playing now I'm an old nigga Yeah, exactly I'm an old nigga I'm an old nigga Man, so I've been You know, I've been around My kids They were raised up in here And we opened this up For our kids So, you know For they'll have Know how to be You know, owner Business owners And stuff Entrepreneur, that's what's That's hot right now Yeah, but now You're definitely dope, bruh And like I said When I watched you You answered the questions The way they need to be Answered Talked about not Talking about Not speaking on the Dead Not saying the wrong things But I have a question About going back To the right set Of people around you Okay What are the details that You look for in the right Set of people Because a lot of times People have an entourage Of people Or people have a camp with them But they're a yes people Yeah Anything you say they do They're not actually Trying to say If you're doing something That they don't think Is best for your brand They're not going to stand Up to you And say, you know what No, let's not do it Like this Do it like that So, what do you look For in a And I just I look for I don't Want to be Like Okay, how can I say this Okay, like Hold on Because I'm trying to think Can you tell me one more time Tell me, you say What do I look for In the group I look for I really just look for solid I really don't got to look For nobody else Everybody that got around me I already I already solid They already They already tell me If something is not right They're going to let me know I'm not going to just Make a decision As they're not there You know, as they They're not going to let me To be like Nobody I'll be with Not just going to be like Okay I'm going to tell I'm going to do this I'm going to go over To these apartments You better not go Over there in the apartment You know Like Nah You ain't going to go Over there in the apartment You crazy, okay I might reconsider You know So Like It's good to have Strong minded people On your team Because you don't Need nobody That's Yes, man Because You're blind You know what I'm saying Like what if you You know What if you the blind When you start leading The blind You know what I'm saying So You can't be there You gotta be there You know what I'm saying You gotta be there You gotta have people that That's That's That's That's already equal That's how Okay That's the way to see You need to have people That's equal Right Everybody need to be equal Now nobody Over this man Over this man Everybody got to say so they join it together. So the eye ain't no better than the nose. The nose ain't no better than the hand. All the body is needed in order to work together. You know what I mean? So I think the main thing you're saying is everybody has to be able to do what they do and do it well and play their position, right? All you gotta do is play your position well. That's all you gotta do. And you'll do your part. I gotta do, yeah, I'ma do my part. I don't want to part. Yeah, man. So you can ask, everybody do what they do, I'ma do my part. Do you consider yourself a all-rounded artist? Brand, I should say, or are you just an artist?  Or are you just performing?  Meaning, because I have a lot of artists who come on and they say they have to research and know paperwork, legalities, everything. Although they have a lawyer, they still have to know these things because you never know when somebody's trying to screw you over or overlook something because people are good at what they do, but we're all human beings. Sometimes you have to back up yourself. Do you study and research a brand to make sure that you can push it no matter what? If LD, god forbid, something, you know what I mean, she had to move around or she got rich, she hit the lottery. We had a lady that hit the lottery. Shout out to Sandra in Los Angeles to hit the lottery and quit. Yeah, Baraba, she quit, but she came back. Yeah, her mind was strong enough. Yeah, nigga, you back now. But anyway, after the millions, it's gone, nigga. You know what I'm saying? But yeah, like, if she hit the lottery, she left and you gotta do her part now. You know what I'm saying? How do you feel that space?  She gonna blow the million, is what I'm trying to tell you. You know what I'm saying? But would you be able to handle that? That's what she's asking you. Yeah, I would. Yeah, you'll make sure to hold it down until she get back. For sure, because pressure is nothing. Already, man. You know what I'm saying? Pressure make people who they is. You know what I'm saying? So I really like pressure because I do well. It makes you better, don't you? You know what I'm saying?  So if you already up under pressure, then you already know how to handle it. So you need to, you know what I'm saying? So, like, you know. Yeah, you just gotta be able to transition in the midst of whatever's happening. Because it's gonna be there regardless. Yeah, man, I love your style, man. Like I said, I don't listen to the music, man. And I'm gonna listen to it again and again. I appreciate it. I'm gonna watch it. Yeah, yeah, I ain't no, I'm not fake. I'm not fake, man. You need to have a show. Oh, you got a lot of watching to do, nigga. I'm watching it, nigga. I'm watching it. I was in Caled as we. I've been going everywhere. You got so many pictures. Man, it's everywhere. We got close to 300 episodes. Yeah. So that's the dope part. Just getting to meet everybody.  You know what I'm saying? 300 views, I mean, 300 love videos. It ain't working, B. That's all I'm saying. They not, they not, yeah. 300, that's out. We have so many more waiting to come out. Don't get it all out being in there, nigga. Don't get it all out being in there. We backed over a little bit, but you know how it go, you know?  Yeah, he's right up giving it. Yeah, not for real. So just, you know, you want to ask him something else? Because in one of your songs, you mentioned First Day Out. So you were gone. Yeah. How long were you gone for?  If I ever go to jail, I'm not gonna do more than three days. That's it? Okay, so you wasn't out in that long. Uh-uh. But you got a chance to make that First Day Out. Yeah, I can't. Yeah, I can't. You're gonna make that First Day Out. When a nigga make that First Day Out, he feel like, oh, yeah, I made it. Yeah, I can't write that on him. I said I'll make me a First Day Out.    Like, you know what I'm saying? Like, just do something like that. No, you did the right thing because your people love you. And I'm watching how you, you're an independent artist, right? So I don't know, you might know PG, is it, Putting God First, PG L Shout came on here. He's from Atlanta. The nigga move like a label, like he would a label right now when he came in, I don't know if the nigga flew down here, man. He helped me out real good, made a song for the show and everything. I ain't never seen anything like this. The nigga was on it. Billboards. Came in with about 20 people. Yeah, Billboards went up in the city and he did the same thing in Philadelphia. You know what I mean?  And I think that's dope, bro. Yeah, I appreciate that. You know what I mean? I appreciate that. People don't say that because you know. They ain't like me, nigga. I'm small. That's how I get to tell you the truth about it. Yeah, they ain't interviewing like me.  Nah, bro. That's how you supposed to do it, though. That's what you do. That's how you supposed to do it. Y'all here for sure. Do you intend to stay independent? I'm gonna stay independent for as long as until, until I feel like they saying something right that I want to do because I can keep doing what I'm doing now. I'm getting views already now. I'm doing shooting real videos now. So if y'all not talking about the right thing, then I can't, I can't. So I don't know. I don't know how long. How come I didn't break that TikTok algorithm yet? Yeah, nigga. I got 20,000 followers on TikTok. Oh, oh, yeah. Yeah, nigga. Yeah, I got, yeah. A million, yeah, a million. Yeah, that's cause I use girls. I got two. I got two. Nah. Put them here. Cause he ain't working it? He ain't on there? Nah. On Instagram, though. You gotta work all platforms. And he proud too.  Yeah, I am. You know what I'm saying? Cause they love you. They gonna do it. If you say the word, they gonna do it. I'm gonna tell you what it really is. I don't know how to work it. I don't know how to work it. Man, I'm gonna tell you. I'm gonna set up for two hours and put my phone up and try to do the little dance to my song. No, not you. We don't have to do all of that. No, no, no.  Don't you do it. And get that song popping and then once she, that song already popping. Whatever song you pick. Cause all of them going crazy on YouTube. I appreciate it. You know what I'm saying? You gotta just talk in fluent shows. Exactly. You just get them and then let them do the dancing. Cause they already got to follow. For sure. Yeah, and that's how you do it. And then your song go viral. But it's a process, right? It's a crazy process because everybody trying to shoot for every avenue. Every avenue is an opportunity, right? Yeah, not a lot. Every avenue is an opportunity. I was telling one, was it a couple of people? I know the little girl that came over here. I don't do this, Facebook, I wanted to do this. I don't do TikTok. It's just like you open the door and looked in the room where people was that might have accepted you and closed the door and said, I don't wanna fool with them.  You need to do all things because there's people in those avenues that you know they're gonna rock with you. You talented. It's not that they don't do it. The problem is it takes a lot of time. People don't realize how much effort it takes to go from this media to this media to this media and to post all of these different things.  It takes a lot of time. I agree. A lot of people don't wanna spend that time half of their day trying to set social media up. Yeah, I agree. I mean, you know, I've been married to you for 20 years. Nigga, I'm not gonna disagree, nigga. Hell, I look like over at Disagree. I'm trying to go home and be happy. You know what I'm saying? We've been tripping, man. Yeah, he cried over there. I was like, this is the grid. But no, man. So you don't have no kids and nothing like that? No, I'm zero. Bro, that nigga there. Really?  Yeah, all day. Watch out for the nigga when he come through, man. Yeah, yeah, yeah. Look at your nigga, man. I don't even know how old are you? I'm 21. 21? 21.  Whatty2Live was on here, man. He died right after, you know, right after his interview here. I seen it. And you didn't see the interview here, though. I didn't see it. I seen it when I was... Yeah, he was here.  And one thing that I told my wife the morning when they called me because I was called soon is that I was in real time with it. And it was like, did I say the right thing to him? Did I, you know, cause that's what I'm here for. I'm here to, I know God put me in here to say the right thing to the young people that come through this problem. I'm for sure. Cause everybody knows that. I'm real with it. Yeah, they probably don't know what they hear for, they know what they hear for, they just don't. I went back and pulled the clip and we talked about blessings and all type of stuff, man. So I felt good about that, you know, that I did get to use that opportunity. So I would never not take the opportunity to talk with you and love on you, you my, you know, you my God, you here. You don't have to take your time and come over here, man. We appreciate you for that. That's what's different about Boss Talk 101, bro. I appreciate you having me.  So I know you took your time out to come over here. You an LD man, y'all. Hey man, shout out to LD who come through. I'll appreciate it for sure. Yeah, show her a nigga love, man. Come through for sure. But sure, she gonna come through for sure. Yeah, man. Thank you so much, man. Go ahead and get him. Let's bring him in. Cause I want to get in this music a little bit before we let this guy out of here. Man, hey, that's how we do it, bro. You know what I'm saying? Every time. I like it, man. I like it, man. I like this, man. I think it's a little different, man. We just more organic. We just talk. I like it. It's a conversation. Yeah, it's hard. It's hard. It's hard. It's how you gotta do it. Just start a conversation. That's it. Start a conversation and just keep, this is how you gotta do. That's it. It ain't hard. I think everybody else, they try to broadcast and hit points too much. Nigga, quit being so serious, nigga. Think too hard. We having a good time. So, man, the music, I wanted to get into the music, man. The one song that every day for 20, man. Every day for 20, man.  But I don't even care, nigga. I just every day for 20. I thought it was one 20 because that's what Eric Thomas be saying. You got to be one 20. I said, no, man, my nigga shoot. Hey, man, you see, you got to be for 20, nigga. Yeah, yeah, yeah, yeah. So what is for the four 20? You know, like when you smoke, it's a date, right? It's the four, it's the, you know, four 20. Oh, yeah. Oh, okay. That's the best thing in the world.  Hey, my birthday is four 17. Is it? Do you think I'm like four 20? Say, man, check it, man. I love it. So my guys, Money Moses is in the building now. He just stepped in.  Oh, like that. What you got for Money Moses? I'm like, hey, you made a video four weeks ago about seven. Why? He go straight in here.  Yeah. Nah, I think I didn't make a video about him. Really like- I ain't gonna talk about him, but you mentioned him. Oh, okay, okay, okay.   So if somebody ever get on the internet and they say something about me, I'm, you know what I'm saying? Because in this generation right here, that's what, that what niggas on there, on the internet, really.  The weak one, tell your side of the story first, you know what I'm saying? Yeah. But I ain't, I wasn't even gonna get on Instagram. I wasn't even gonna say that. I wasn't gonna say that appeared. That seemed like not even your character, anyway. Yeah, I'm not- To be honest with you. That's the reason why I asked, because you don't go like that. So I'm like, you address it. Because I really like, I really know him. And when you really know somebody, once you really know somebody, you know what I'm saying? You know like, bro, why are you playing like this? But let me say this. I gotta say this, man.  Nah, for sure. Let me tell you something, man.  I'm being real. I don't really care who hear me say this, bro.   For sure. You understand that? For sure. Do you even live in Dallas? Nah. I'm thinking you didn't, because good. You know what I'm saying? And the reason I say it's good is because, you know, you gotta go out and deal with other different people to let them see your talent as well. For sure. Because everybody in Dallas know you good at what you do. That's the key. You gotta go to the next city, take over that city, and hopefully move to the next city, take over that city, you know? Just do, just keep that word. I do it in clothes, but it's the same thing. Like if you get New York floor to way over, they gonna know me. You know what I mean? Yeah, it's the same thing. So, what inspired that song, you know, that Everyday 420, like what? Who produced it? Stoneman. Stoneman produced a lot of your music. Most of it? Everything, like, really, like. Everything. Nah, most of it. Most of it. For sure. He dope. He hard.  I was like, this nigga right here. When I listen, I'm telling you, I just like, don't feel bad, cause when Chos came over on here, I didn't know his stuff either. And I'm an old nigga, so y'all gonna have to forgive me. DJ Chos came on here, and my wife and me was here. You remember that? And I was like, damn, I don't even know none of this stuff. My son knew it, but I didn't know it.   I had to go check it out. You know what I'm saying? Nah, for sure. And when I did, I said, this dude really got talent. Cause you see so many other dudes they be, they don't have the catalog. They don't have you. I go through the months, your visuals, you consistent with them. You ain't just throwing the one thing up.  I have niggas that call me that ain't did nothing in three years. Want to get on this show, bro. I'm not playing.  It is.  We're gonna talk about. Yeah. But your music, man, everything that you, everything that you doing, what about Parley, man? What's up with that, man? How did you, how did you process that? Well, uh, with Jason, really because like the Parley, like it was like, like I used to be like, how I made the song. Yeah, how you made the song. I didn't even care about it. I mean, like the whole song came about through L.D. because L.D., she know Jason, you know, the one who made the song. Yeah, yeah, yeah. You know, like Nico, Jason, H. You know, I don't, you know, we know all of them, my people. So she locked in. Yeah, them, my people, you know what I'm saying? So, you know, she, one day she, she was in Atlanta. She was like, you got a studio session.    You didn't even know who he was. Like I did chose. And like I didn't know you. Yeah, nigga, you just like me. Thank you. So I'm like, damn. I didn't even know you that hard. I'm like, damn, you know what I'm saying?  So, you know, like, I go over and I hear them all.  Man, we go, we pick us a beat. We just, me and stones getting in there and cook up just. That's why them niggas say they, you know, come in. They say he, he liked the baby. He signed. If he's saying that, I don't know why though. Cause you got your own style, bro. I'm being real. I hear you listen to your own style. But they probably say, I probably say I sound like the baby. Cause they listen to that beat or you look like him. Yeah. Yeah, I know for a fact, your music is different. Quite different. Your cadence is different. Yeah. You know what I'm saying? So, and they, and they good. Do you know what I'm saying? They voice how much sound though? Huh? They voice how much sound. Sound a little bit of like. Yeah. And I'm gonna get on that. I'm gonna get on, I'm gonna get on your deluxe, your strapped for president deluxe. But we ain't gonna go there just now. What about the hunger game? What's up with that? Hunger game, man. That's a badass, that's a badass song. I really, I like that song. I said that beat slapper.  I'm a pick on beat hall. Yeah. I can, I can, I can tell you, I got a list of beats right now. You know how to pick the beats. Yeah, I know. Some people have problems with that. So that's the deal. I know how to really pick beats. Like I can sit in here and like really pick beats. Like, yeah, to rap on and I'm rapping all of them and then it's gonna be hard. I know the one that's not to rap on.  I would listen to your lyrics. You would bring up Ricky Rush. Nigga, you went to the high box. Shit, man.  Yeah. Now you gotta, you gotta really know about I bought your lyrics. I know about it. I used to go over there. Yeah, yeah, people gotta really know like they're late night commercials. They used to come on. Yeah, yeah, yeah.   Yeah, that's what- Where is commercial go? Man, I don't know. Man, I'm dirty, bro. He had the commercial, then he had the billboards. He was- He was jumping that boy. Me, he wasn't in Dallas. I was just over there. That's why they buried, you know, what it was, that's why. And when you said something in your song, I told my wife, I was like, you said something about sending you to Ricky Rush or something. And it was about a beer. I'm like, dang, we just left there. I'll just, you know, Friday. Yeah. Cause that's why we went to the field, right? But then when you said that, I'm like, he telling the truth. Like that's where they have to go. Like the youngsters relate to him. You know that, right? The youngsters, that dude, that's who he, he relate to. And that's what a young, they take the young folks. Yeah. And I hate that, man.  Oh, for sure. Everybody got to keep your head on. Man. You gotta move, man. You gotta be smart, man.  Cause you said something, I heard you on one interview would say cheese. Cause I try not to never not say people name. When I hear something, I give them their credit. I love everybody.  It's a real thing. That's, that's so true. That too. And like, you got to be careful what you say. Like just about anything right now.   You know what I'm saying? Like, like no dead. You know what I'm saying? Like I can't be, you know what I'm saying? So you got to watch what you say. You got to watch what you say. You know what I'm saying? But I say that because like, like, because like I'll say to fans wise, I'm not saying it as no, no nigga. You know what I'm saying? Gonna do nothing to nobody. I'm saying like, you got to watch it for the music wise. You got to watch what you say for the, for the people. You know what I'm saying? They'll flip what you say. Yeah. Yeah. That's what they did on with, with, with the baby about that speaking on the LGBTQ or whatever. They made it more than what it, what it was called to be. That's really my, that's really a good example. Like, watch what you say. Yeah. That's the perfect example. It was nobody, no car, second dig outside. Nobody. And why they get mad about that? I don't think he said, if you're not outside a second dig in a car, put your, make some noise. Who's outside the car, second dig? Nobody. So we're wrong with it. Wow. Nobody. Wow. Wow. Ain't that something?  That's what up there. Everybody around there. That wrote them wrong too.  All them people out there. Shit. That's what's going on. People wrong way right there. I understand that, but if all them people, I bet you know, now time, nobody in the audience said nothing about nothing that stuff happened. It went on. It's the people in the industry. Yeah, that's how it is. So they had nothing to do with the fans out there. It's the people in the industry.  How are you moving, man? With, with spot them, got them just got shot like several times, car was shot 22 times. How are you moving out here? Are you moving with precision?  I'm saying I'm just going to put that on. You know what I'm saying?  God was going to listen, yeah. I've been asking for a long time.  So for me not to be shot, I feel like, you know, or you're in jail.  Like, you know what I'm saying? I'm really blessed. You feel me?  Spot them, got them tripped out. But he was leaving the studio or something. What are you saying? Man, man, tripped out, bro.  I don't think nobody. Oh really? Yeah, I think, I think it was some road rage. Yeah, they did say it was carol rage. So. So it wasn't even something that had to happen. It kind of just happened. When nobody looking for me. I don't know, I really can't even tell you. Yeah, yeah. I really can't even tell you. Yeah, we speculate. Yeah, we just going out where we just saying it. Putting two and two together. On Instagram. Let me see. But no, I do know that that came out, man.  You forget millions of dollars and you forget tricked out of your position, really? But see, I'm sure. Bro, I'll be so upset. Don't come back over here.  I feel like I'm so sad because like, you know what I'm saying? Like, I'm not saying if you don't get shot, that mean like, I'm not saying it don't mean nothing. You know what I'm saying? But I don't want face to face.   You know what I'm saying? I'll ask you something else. Like NBA Youngboy being so popular like he is right now, but being locked up. That's crazy. That's crazy. You understand what I'm saying? How do you think like the Pooh Shies is in it? And you know what I'm saying? To be locked up right now. And they, yeah, and your career is up here. Everybody looking for you. They love you. Yeah. And you going.    You know what I'm saying?  You, you, sometimes you get in your ways. Yeah.  So you feel, you know what I'm saying? I think that's, I just, I always ask those questions. You know, like, come on, man.  How did that things happen like that? No, the quick people react. And then cameras is every damn way. I do not understand why these people don't see these damn cameras. I swear to God. That's why everybody can shout in the highway.   That's why you're like, damn. Everybody getting shot on the highway. Yeah. Yeah, that's the new thing. Them the least cameras. Yeah. Wow. And niggas just gotta do it. It's a new thing. The new thing. The only way you get caught on the highway if you got a 18-willer. That's the only way. Okay, they got cameras in there. Yup, that's it. Wow.  Man, Money Moses is out here checking for, where are niggas getting shot at? I can tell you, Listen, don't do nothing on George Bush. They got cameras under every bridge you go under. They got cameras every single time. I look and see. Don't do nothing. Yeah. So, let me ask you this, man. Your top few artists of all time did a lot. My top three. Number one. Number one. We're gonna go from one to three. Any genre. Any genre. Number one is, like, back in the day, I said, Who do you think your number one is? This is just your, this is you. Number one, two and three. Number one. I do everybody like that to come on the show. My number one is me. That's what I'm talking about. I heard it on the phone. I knew it was gonna say that. It's dope, baby. It's dope. I agree, man. You got the room to say that.  Number two. Number two will be future. You like future? Yeah, future hard, bro. You ever meet him? No, I ain't. I can see you doing something with him. Yeah, that's my nigga for sure, but he don't even know. I don't kill that.  You better not get on that track with you, nigga. You from Texas, nigga. I got my money on you. Shout out to Future, nigga, but I got my money on my guy.   You feel me? Like, I really wanted it to be, because the way I make music now, I want it to be stumped.  You know what I'm saying?  The face of it, it ain't, you know what I'm saying? I already know that. So it ain't got no face right now. So people telling me, like, about your music, so you're like, bro, you got it. You know what I'm saying? You can be the face of this shit, just really do it. Hard work. Man, so number three. Say, call that, call that, that's my nigga. Call that black, go hold it. That's my nigga. That's my nigga. And that nigga, and that nigga, talent it ain't him. He hard. He tap, tap, tap. You surprised when that nigga got out, when he got that part and like that?  That is crazy, right?  Yeah, yeah, yeah, Trump let him out. You niggas wanna, y'all keep hollering by Trump and Trump let Kodak out.  I said that nigga not Kodak.  You know, yeah, nigga, yeah, somebody that got a little breathe for that nigga.  Don't play there. Yeah, nigga, they had enough money. Nigga have money, man. It's all about the money. Y'all know Trump of business, man. You think he did? You think he got some money? Everything Trump did was for money. Every single thing he did was for money. Everybody part of it was for money. Right there, he ain't got them people out of the forward. They gave them, they wouldn't give him no money. But everybody else had money, they got them out. I agree, I agree, it was some business involved. So let me ask you, man, what can we expect on that, when that deluxe drop Thursday night? What's going on with that? Expect nothing but hits, man. We dropping number hits, man. It's going down. I got nine hits on that motherfucker. I already got all of his, but I just re-put some more songs. I tried to trick her a deal and send me a few of them old, man. She ain't do it, bro. Man, I can't, man. She ain't do it, bro. Really? Bro, she ain't do it. Like she ain't let it.  I'm not playing, bro. I ain't lying. I don't even see Nigga League. I ain't never learned how to leak stuff like that yet, man. She wrong, but she ain't let me get it, bro. You got, she stomped down. Yeah. Now she ain't be playing about that music, man. So do you feel like this one here going to be harder than the previous one? This one right here going to be, every time I make something, it's going to be harder. Be harder? Well, that's what it taught right, baby. It's going to be harder than the next one, show. Every time. Every time, you working? Every time, because I'm not going to do nothing but get better and better at time. Practice is like going to football practice, going to basketball practice. Wow. Keep going to practice.  I've seen something you did. You went up to New York and did a video. You, nigga, I'll be in New York, nigga. I know you, nigga. What? It's cold as hell. Hey, nigga, I'm out. I don't really just stay up there, nigga. It's too small. I don't like all them little old bars up rooms. I can't deal with that, but being this is good. Networking is good, but you killed it on the video. Yeah, but you did better in Texas, nigga.  I love Texas, man. I'm here for Texas. And then you mentioned UGK in one of your interviews, nigga, that made me love you even more. Yeah, nigga, I'm watching everything. You're right. Yeah, not for real, not for real. I'm a Pimp C fan, bro. I love UGK. I love UGK, man. I love old school, bro. I love, like, you know what I'm saying? Yeah. That's just in me. I heard you mention it, man. Hey, man, I definitely am. So if you could go back and I'm going to ask you this. No, BFF. What's up with that? I didn't ask you about BFF. BFF. You said something on there about trying to after bestie or something. Yeah, nigga. Yeah, you a bad nigga, man. You trying to do it like that? Or you that just leave it? That you for real?  That's real life. But there's lyrics to it all, man. Yeah, it's a good time, right? Yeah, you know, I'm just being funny, man. I gotta go home. I gotta go back home. Man, so, hey, man, if you could go back to your younger you and we're going to wrap it up, but if you go back to your younger you, man, and talk to that 14-year-old to prepare yourself for where you was headed, what would you say to it? I'd just say you need to start right now. Go hard right now. Hard as you can. You need to start right now. Yeah. Yeah. You need to be trying to do this right now because I had more time on my, you know what I'm saying? The more, the younger I was, I had more, the more time on my hand I had. You know what I'm saying? You know what I'm saying? So the younger I am, the more time I got. You feel it?  You know what I'm saying? If I would have started right there and been right here right now, I'd be a bad motherfucker. The bad you been talking to because you could see what was coming. But you think you to listen to yourself? Hell, no. You 21 coming to a podium. He wouldn't listen. He would have more studio time. We payed at $15. Yeah. Oh yeah. Nah, for real, nah, for real. My mom's studio time.  There's $15, I ain't pay him. Nothing, there's no more on my app. So the guy, I put it on my line. I walk the nigga out. Every day he's trying to record. What's up? Hey man, how can people, how can people get old to you, man? How can they find you?  Every time you type, think about strap, it's two A's. Man, no typo. It's just two A's. That's how I did it. And you gotta go to Twitter, bfgstrap, two A's, everything. And that's how I got right there. Let me ask you something, man, cause you know, I'll be asking some questions. I asked most of the same question. You good? When, did you, did you watch Boosie when he was on Breakfast Club? I think I did. Uh huh.  You think he did?  Why you say that?    Give me the spill. Nah, I gotta hear this. This a big fan, I like this. Now what, why do you think you messed up? I'm saying messed up on what? How? You said, yeah, I'm talking about Fars, why would you say that?  Yeah, like he wild, ain't he? He wild, he wild. He wild too, though. That's why he from Louisiana, he can relate. My cause.  That's how they live, you know what I'm saying? They did nothing wrong on the interview cause I fed him. You not for the pussy. You not for the pussy. I ain't even seen no interview. But what it was, it was an interview where they brought a gay guy up and.   When Nas X was one of the main contributors of why he was saying what he was saying. Cause he was pregnant on a couple of videos and stuff like that. And kids gonna ask why daddy? Like why? Why he doing this? Cause they don't see it in real life no more. They don't see it ever. But they see it on internet. They gonna ask daddy why. He don't want to answer the question. I don't want to answer the question. My kid don't ever ask me that question.  It's a lifestyle, you know what I mean? Like it's no different than anybody else doing whatever they do. You know what I mean? So I don't trip over that part, but what I do trip over is if there's not balance. I always say that there has to be balance in this world. In anything you do, you can go out there right now and let that all run out of the car. Y'all came up in it and it's gonna blow like hell. You don't have to worry about driving too far. You know what I mean? So in life you gotta have balance. I do know that. I have to show that's one thing I learned. This is the part I don't understand right now.    Like at that age. Oh man.  Do you see what I'm saying? No, I don't.  He saying he want to be gay.  On TV. Thank you. Yeah, or people that he been around, or he feel a certain way about himself. But you gonna let your son do it though? You gonna let him do it? As a parent.  You can be gay. I said listen, listen, I accept that.  You gonna accept that? No. You gotta accept that.  No, I'm just saying though. That's how they push it up on the kids. That's how they push it up on the kids. Like they'll say you can be gay just in that. But then they don't see the consequences that come with it. A lot of times, like I said, when 13, 12, 10, you start looking at those ages, it's a very complicated thing to talk about any type of sexual relationship period. So that's a whole different ball game. Yeah, it's crazy. You know what I mean? But man, thank you so much, man. I don't know why the hell we got over on that subject, but that's what happened on this show. We just go. Yeah, that's hard. That's hard, I like that. But no, but yeah, who inspired you the most? To make music? Yeah. Shit, they inspired me the most. I'm talking about like another artist or something. Oh, it was just me. It was just swinging because like. So no big celebrity, nothing like that. I mean, I always heard. He'll always be a big celebrity. I always heard how P.E. are for show. I always heard how people rap for like rappers that was in the industry. And I'd be like, man, he ain't gonna rap like that. I can rap like that. Like, you know what I'm saying? Like, like not even to compare myself, but just like, man, they real rappers. They real rappers. I can be a real rapper.  If he can be a rap, I can be a real rapper.  So, you know. Four years ago, it was Yellow Bees in Monk 3 and five years ago, this is the people that you would actually see and rap. I mean, who else was it? It was your trap. It wasn't many. That was hot in Dallas. Nah, it wasn't a lot. It wasn't a lot. There wasn't any motherfuckers. That's my boy right there. You know what I'm saying? But he definitely did some great music, but it wasn't many. That was what I'm saying. Nah, it wasn't. But then, but then you held your own. You knew, you used to put this thing on the map, right? Nah, for sure. Do you even be saying Dallas like that in your song?  They know I'm from Dallas. What part of South Dallas do you be in? You say you be in the South. I be in the South. I be like on Casey Street. I be like in Fort Worth, Linway. Okay, okay. You know they messed that street up over there where people can't go through there.  They messed up the Black 4B. I don't like that.   That hurt businesses over there, man. They know what they're doing. Yeah, they trying to run everybody off, man. I hate that. I really just be like indifferent. Like, cause coming up, I was in... You was in the Grove too. Yeah, I was in the Grove too. Like I was in North Dallas too. Like I done been in everywhere.  My parents, my mama done moved everywhere.  I was a kid. I couldn't stay in the house. So whenever we moved or whatever, I'm going right outside. That's how everybody knew me. Yeah. Like everybody got to knew me before I was even rapping. Like before we was even rapping, we was already known. Everybody in Dallas, I already knew us. My best friend. Yeah, it's all good. I already knew us. So it's like... You did that Charlotte Lowe song too? Yeah, R.P. Charlotte Lowe. How you know about Charlotte Lowe? You too, y'all. Nah, come on, man. My niggas be tripping me out. Boy, y'all niggas...  Come on, man. I just know about them and that's my deal. I believe you too. I really do. I really do. I really do. When you like somebody, you start digging in. The end of that make everything so accessible, but when he passed away, you remember when he passed away? Yeah, I remember. Yeah, that was crazy because I hear all kinds of stuff. Man, you know, man, Luminati is all in everything. Let the niggas tell it. You know what I'm saying? Yeah, I don't, man, I don't. What you going to do when that major deal come in, nigga, I'm coming to you with that $10 million deal, nigga. You going to sign them papers.  Yeah, nigga. You just trying to act like it. Yeah, yeah, yeah. Went to the White Pope's car. He went to the White Pope's car with the $80 million. He's going to act like it. He went to the White Pope's car with that $15 million until he signed these papers. You and the L.D. going to be nervous to sell. Yeah.  Wow! Hey, man. We got $15 million. Will he give up his master? He don't know. He don't know. No, man. You know better than that now. He ain't even given up his master now. It's crazy, nigga.  Ain't nobody giving up their master no more.  He ain't even giving up his master. They didn't talk him again. Already, man. So I appreciate you, man. We love you, bro. I really love y'all, too. No, real talkstrap. I love all my life. I'm being real, man. In a few dollars, man, don't do not pass gold, nigga.  We over here and my team coming through. For sure. You know what I'm saying? Because we pulled up in this thing some months ago but we've been everywhere doing everything with everybody, huh? And it's a blessing. Yeah, it's a blessing locking in with you, man. Thank you for coming on Boss Talk 101, man. We like them, man. Check it. I'm gonna come back. Check it, man. Yeah, next project is going down. Yeah, next project is gonna be back. Already, man. Hey, man, it's been another great segment of Boss Talk 101.


because they're having a wonderful day thanks for visiting my channel it's been a while that i post something for you but in this video i'm going to share with you how much money i have made doing adsense arbitrage in the uh in january 2022 so and i hope you hope i hope you guys you know get some information out of it so this month in january i have made around uh around six thousand fifty three dollars uh most of the money is actually coming from us us has five thousand one hundred and thirty seven page views are eight hundred thousand page revenue per mile is five point seven two so we are seeing a little bit of drop in page rpm because the much uh the page views that we have generated could be making around eight to ten thousand usd on a normal basis so it's uh the earnings that i i'm looking this month is very very low compared to all the other other months in terms of united states and active view is 57.96 so our field rate is also low i don't know what's going on there can be some issues with ads not a lot of advertisers in adsense right now maybe they're going to tick tock or something uh so the active view is kind of dropped so the field rate is dropped also so we have generated around 28 000 clicks uh for us and our click through rate is 1.10 so make sure that your click through rate is less than two percent guys because there will be a chance of getting ad limit uh but don't worry about that we have a plugin called adsense protector that you can use for you know ad limit problem and the next country that we have made most money is actually mexico 191.52 uh mexico was showing us amazing good results in terms of page rpm and cpc so we kind of did a lot of arbitrage uh traffic with mexico and the third one is actually uk fourth one is brazil uh fifth one is australia and the last one that i want to talk about is india india has the one of the highest uh traffic which is 305 300 300 000 more than 300 000 page rpm was very low 0.15 and the impression was around half a million more than a half a million so one of the interesting that i want to talk about india is because the cpc in india is extremely low only one cent to two cent and we got around 2154 clicks from india but still we didn't even manage to not to make around 100 dollars so showing ads for india in facebook is a total waste of time and money so i would recommend everyone not to do any kind of arbitrage in the indian category region uh try to look for mexico uk us and australia and brazil and some other countries that you can definitely look at are malta uh dubai egypt danmark sudsaland these are really good countries in terms of doing ads as arbitrage and apart from that the cpc is very low for us and the cpc is kind of staggering right now we are not getting a really good cpc like we used to do for the last couple of uh months and uh the this month we have spent around one thousand dollar uh we try to scale up but what we're seeing is that when we uh go a little bit you know uh we spend more money than our budget what happens is we kind of fall in a loss category uh there were three days where we hit loss in our whole month of arbitrage so what what we did is like you know what let's not increase the budget anymore let's just keep it as as it is and you know put it in our sidelines and sideways and after that we're just kind of like a you know finish finish the whole month with a good profit around four thousand dollars and yeah that's uh that's all for now i guess so do comment in the comment section if you guys want to get more information and i will share as much as i can by the way if you guys haven't got the ads as arbitrage course it's two hundred dollars only if you want to do ads as arbitrage and i'm seeing a lot of comments that how much money does it take to uh to run the arbitrage i would definitely call for ten dollars to twenty dollars per day so for the first week uh you have to harvest the data and you need to go through the whole arbitrage process after after that week you can make a profit out of it so ten dollars to twenty dollars is a good budget in terms of ads and arbitrage all right thank you so much i hope you guys have a great day bye


One of the main applications of calculus is determining how one variable changes in relation to another. A marketing manager wants to know how profit changes with respect to the amount of spent on advertising. Maybe a physician wants to know how a patient's reaction to a drug changes with respect to the dose. And so this leads to the following definition which we've actually seen many times before but let's put in the context of calculus now. Let f of x be a function defined on the interval a to b. Then the average rate of change of f of x with respect to x for the function f as x changes from a to b is given by this so-called difference quotient, f of b minus f of a over b minus a. We abbreviate this as delta y over delta x for which this delta here, it looks like a triangle but this is actually the Greek letter delta. You often see it maybe in like a fraternity or sorority or something like that. It's just like the Greek equivalent of capital D. In this case, delta is short for difference because if we look at like delta y versus delta x, well, the a and b, these are x coordinates. These are numbers in the domain. So delta x dx is b minus a. This is a difference of the x coordinates as opposed to delta y, delta y which is f of b minus f of a. f of a after all is just the y coordinate which corresponds to x equals a on the graph of y equals f of x. And likewise, f of b is just the y coordinate of b of the point associated to b on the graph of y equals f of x right there. So that's what this means is this difference quotient is just the difference of the y coordinates divided by the x coordinates. Sometimes you might call this rise over run that is rise represents a change of the vertical. If things are rising, they're going up or going down I suppose if there's a negative rise, run on the other hand unless you're Spider-Man we have to run horizontally. And so that's a change of a horizontal displacement right there will rise over run. We've often seen in geometry this is referring to the slope of a line. This is the slope formula. And this is what we talked about in the previous video of our lecture series how the average rate change measures the slope of a secant line of a function. That's all that average rate of change is about. And so let's take a look at this not necessarily from geometric permative view but let's think of it from more of just a story problem point of view. Suppose a car is stopped out of traffic light when the light turns green the car begins to move along the straight road forward. Assume that the distance traveled by the car is given by the function s of t equals three t squared for the first 15 seconds. So as t is between zero and 15 seconds t will be measured in seconds s of t will be measuring distance in feet right here. So what is the exact speed of the car at 10 seconds? So this is a very critical question right here because we might be like, okay if I plug in t equals 10, I would find the distance like we can compute what s of 10 is this is gonna be three times 10 squared which would be three times 100 we're gonna end up with 300 feet. So after 15 seconds the car according to this model would have traveled 300 feet in distance. And I should mention that this formula here is actually quite it's a good formula this is within the laws of physics and things like this is quite feasible thing. But we don't wanna know how far it's went we wanna know what its speed is. What is speed in relation to distance? Well speed thinking about that if you have a higher speed that means you go a farther distance well maybe for a fixed point of time. Speed this is an important thing to keep track of speed is a measurement of distance per time. Right in the United States when we drive on the highway or on our roads we typically are driving a speed measured in miles per hour. We can often use the units of our scientific measurements here to get some idea of how these things are related to each other. If speed is measured in miles per hour or kilometers per hour or something like that we have a distance per in this case means division per unit of time. In physics you might talk about so particles moving at so many feet per second such and such. And so speed is gonna be this distance divided by time. So really if we use the average rate of change of our distance function this is an important thing to remember here. If we take the average, well let me let's just use the symbols we had from the previous slide. We take delta S divided by delta T. So the delta S represents a change of position the delta T represents a change of time. This is the average rate of position the average rate of change of position with respect to time. This is what one would call average speed. So we can get a measurement of what the speed is using this delta S over delta T. Now the problem though is if we do try to just compute this right if we try to take delta S over delta T if we do this at the moment where T equals 10 we're gonna end up with S of 10 minus S of 10 over 10 minus 10 which we end up with 300 minus 300 over 10 minus 10. We end up with zero over zero. That's not a speed. Zero over zero is not a number. So that didn't work. The problem is that the difference quotient measures a change of two points. We have to have two different points in time here. So in order to compute the so-called instantaneous speed or what we call the instantaneous rate of change at an exact point in time we could try approximating the exact we could try to approximate the exact speed using average speed where we make the increments smaller and smaller and smaller. So for example, what if we looked at the change of S with the change of T on the time interval let's say 10 to 10.1. So what if we look at just a tenth of a second from this moment of 10 seconds, right? What if we just look at a small time, right? A tenth of a second isn't very huge. In which case then we would have to look at S of 10.1 minus S of 10 over 10.1 minus 10. The denominator of course is just gonna be 0.1 it's just the length of the time interval right there. In the numerator S of 10 we already did that's 300 by a similar calculation if you take 10.1 and you square that you're gonna get and then times that by three you'll get 306.03. Like so in the numerator when you subtract those and divide that by 0.1 you'll end up with 60.3 and this will be measuring of course feet per second, right? Our distance measurement is in feet and our time measurement is in seconds here. So we see that the average rate of change will measure this average speed as feet per second. So in that tenth of a second after 10 seconds we see that the average the car's average speed was 60.3 feet per second. So that's an average that doesn't tell you how fast it was at 10 seconds but it gives you an approximation. It's gonna be somewhere close to 60 feet per second. But you know what? Why do we use a tenth of a second? Why didn't we try like a hundredth of a second if we take T of S over T delta T, excuse me delta S over delta T as you range from 10 seconds to 10.01 seconds. If we use a smaller unit of time we're gonna get S of 10.01 minus S of 10 over 10.01 minus 10 here. Well the denominator will be a 100th of a second now and then the numerator you're gonna take S of 10.01 which would be 10.01 squared times that by three you get 300.6003 minus the 300. That'll simplify becomes 60.03 feet per second like so. So as we shrunk the time interval we got closer to the true value of the speed at T equals 10 which we can see that our first estimate was 60.3 then our next estimate was 60.03. Well, why stop there? Why not take the time interval to be even smaller? What if we take 1,000th of a second? So we go from 10 seconds to 10.001 seconds. How would that affect things? A smaller time interval? That's a really small timeframe right there. 1,000th of a second. So we'd have to do S of 10.001 minus S of 10 just so we're clear. Whoops. That's a one right there. Let me use a different color. 0.01. If we put that into S, we're gonna see that turns out to be 300.60003 as we know S of 10 is 300. And then the denominator looks like 10.11,000th minus 10 which the difference will be 1,000th. And so when you compute that simplify that fraction we'll end up with 60.003 feet per second. And so what we're seeing here is the following pattern. What seems to happen as T approaches 10, we seem to be getting that delta S over delta T is approaching 60 feet per second. Now, of course 60 feet per second is roughly around 40 miles per hour. It was quite reasonable speed for a car. And so that seems very plausible, right? And so notice this idea that we're shrinking the interval down, down, down. We're approaching closer and closer to 10 seconds exactly, right? We can't just plug in 10 as the left bound and the right bound who's got zero over zero. But if we make the interval smaller and smaller and smaller we can better approximate the exact speed at 10 seconds. If this process sounds familiar to you at all that's because this is the limit process. This is what limits are all about. In order to calculate the best approximation because after all we're rounding to 60 but this is not the right answer necessarily to find the best approximation we really wanna take a limit. And so what's the limit that we're considering right here? What we should be considering is the so-called instantaneous speed which would be denoted DS DT at 10 seconds. This is gonna be the limit. This is the limit as delta T approaches zero of delta S over delta T. So we want the denominator to go to zero when we calculate this. So and then not T equals zero, sorry T equals 10. We wanna figure out what happens at 10 seconds right here. And so if we pull this apart from what we saw above let's say that we have this S of 10 we need to do 10 seconds but then we wanna be something a little bit bigger than 10. So let's take S of say 10 plus H where H is just a little bit bigger than 10 like we were doing before H was 0.1, 0.01, 0.02. And so therefore the denominator is gonna look like 10 plus H that's the second time stamp the first time stamps can be 10. And so this situation we can then say let's calculate the limit as H approaches zero right here. And so if we can't just plug in H equals zero here you'll notice that the denominator simplifies just to be an H, the 10 minus 10 so cancel out there, we see that. With the function we don't necessarily get that cancellation we get S of 10 plus H minus S of 10 but S of 10 we know that to be 300. And so we need to figure out the limit as H approaches zero in this situation. Well perhaps like other limits of difference quotients we've seen perhaps we could simplify this quotient in order to calculate the limit exactly, all right? So let's take S of 10 plus H for a moment let's consider that. Well the function S of T was three times T squared so we're gonna get three times 10 plus H squared minus 300 all over H as H goes to zero.  This all sits above H as H approaches zero. Notice here we could distribute this three through and if you distribute the three through you're gonna get three times 100 which is 300 that's gonna cancel with this 300 that's right there. And so what didn't get canceled out? We end up with a 60 H plus three H squared all over H taking the limit as H approaches zero. The numerator we, because we still have that division by zero in the denominator we don't want that. So what we could do is we could factor the numerator recognizing everyone in the numerator is divisible by H. This seems like a pattern we've seen somewhere before you get 60 plus three H all over H and so we're gonna cancel out that H there. But notice we're still taking the limit as H approaches zero. But now in this situation because the division by H is no longer the denominator the division by zero is no longer a problem. Using continuity of limits we then get that the limit as H approaches zero be 60 plus three times zero. And so we end up with the limit being 60 that is 60 feet per second. Like we were estimating it was going to be from before. So in summary what we just saw from that example is that the instantaneous rate of change for a function X when X equals A is the limit here. The limit as X approaches A of F of A plus H minus F of A all over H. So you'll notice what we see right here. So A is our sort of our target value. We wanna get close to X equals A but we can't just plug in X equals A there because we'll end up with zero over zero. These difference quotients always look like zero over zero. So we're taking a small perturbation of A that is we just go a little bit to the right or a little bit to the left of A. This is small amount we call it H right here and we get this formula right here. But of course alternatively we could define the instantaneous rate of change to be more closely resembling of the average rate of change form we saw earlier. This would give you something like this, the limit as B approaches A of F of B minus F of A over B minus A. I want you to convince yourself that these two definitions are exactly the same thing because notice the bottom right here, right? H is just the difference of B minus A. H just measures how close A and B are to each other. So if I add A to both sides, you're gonna see that A plus H is equal to B. And so you see that right here A plus H and B, those are identical and then H versus B minus A, they're the same. So if you want it to look like the slope formula you can, but from practice, when it comes to simplifying difference quotients, having just this single H in the denominator is typically getting the easier algebraic chore than having the more straightforward slope variant. But both of these will give us the instantaneous rate of change of a function. Now, if we return to another question about distance and speed, the instantaneous speed of an object is gonna be the limit of the average speeds or in physics, more properly referred to this thing as the velocity of the object. What's the difference between velocity and speed? Well, speed itself is a signless number. There's no such thing as negative speed. You can drive either 30 miles per hour forward, you can drive 30 miles per hour back. The speed is still 30 miles in both directions. On the other hand, velocity is the signed speed. That is it's speed with a direction. Speed's always positive, in which case instantaneous speed, average speed, those always can be positive numbers, but velocity could be positive or negative. So if we're driving forward in the positive direction, we'd call that positive velocity. If we were driving backward, what we say is the backward direction, we'd call that a negative velocity. So if we get positive or negatives, that's okay. Driving 10 miles per hour negative just means we're driving backwards 10 miles per hour. So that's the difference between velocity. It's a more precise quantity when it comes to science. So if you hear us talk about velocity, it's essentially the same thing with speed, but it also has direction built into it. So the distance and feet of an object from a starting point is given by the function S of T is given to two T squared minus five T plus 40, where T is measuring time in seconds and S of T is measuring distance in feet. Now again, don't worry about the derivation of these formulas. Where do these formulas come from? These are reasonable formulas that one can get from application of physics, particularly Newton's law of motions and things like that. So don't worry about that. Just this is a mathematics course. Let's just focus on the mathematical side of things. Don't worry about the origin of these equations. These are reasonable physical equations for these type of settings here. So let's find the average velocity of the object as it goes from two seconds to four seconds. If you want the average velocity, we'll call delta S over delta T. The delta here represents a distance and then we have a difference quotient right here. So this is gonna look like S of four minus S of two over four minus two. When it comes to average rates of change or average velocities, I always prefer the more slope approach to these things. So what is gonna be S of four? We're just gonna plug four into our function into these locations, right? So you get four squared, which is 16 times that by two.  So when you add those together, we end up with 52, one more nice and done. So we're gonna get 52 right here. Similar thing if you plug in two, if you plug in a two here and here, you're gonna end up with eight minus 10 plus 40, for which case you get a 38 in that situation. Let me erase that. And this is over the difference of time, four minus two. And so combining those things, 52 minus 38 is 14, and four minus two is two, which simplifies to be seven, seven, what? As these are story problems, units are very critical in this application. Our speed is gonna be measured in seven feet per second. That would be the average speed of our object. We don't know what it is, some particle, something's moving, but seven feet per second is how quickly it's moving. Now, on the other hand, we might ask ourselves, what's the instantaneous velocity at four seconds? So the instantaneous velocity, we can't use the difference quotient by itself, because if we try to take the difference quotient, delta S over delta T, when you take T here to equal four, well, you're gonna get S of four minus S of four over four minus four, you're gonna end up with zero over zero. You can't do much with that, but zero over zero suggests to us when you take a limit. So instead, the instantaneous velocity, we'll denote this as dS dt as T is equal to four. Even better, this is abbreviated as V, V for velocity here. This is gonna be the limit. The limit as H goes to zero of the function, we're gonna take S of four plus H minus S of four, and this will sit above H. So we wanna simplify this difference quotient right here. So the function S, which we saw above, remember that's two T squared minus five T plus 40. So we need to put that in, we have to replace all the T's with the four plus H. So to do that, we're gonna get two times T squared. So we replace the T with four plus H, we're gonna square it. Then we get minus five times T, the T will be replaced with a four plus H, and then we're gonna get a plus 40, like so. We need us to track from that S of four. S of four, we already calculated on the previous part, and that's gonna be 52 feet, and then the denominator turns out to be an H as H goes to zero. So our goal is to simplify the numerator so we can find a factor of H that can cancel with the H in the denominator. So we need to expand the numerator to combine some like terms. That's what our goal is gonna have to be. So take the four plus H, foil that out.  Distribute the negative five right there.  I guess the 40 and the negative 52 could combine together. That'll give us a negative 12 at this venture over H. We could also combine together this negative 20 and this negative 12 right there. That's gonna give us a negative 32 right there. We have a negative five H, and then distribute the 16 on, excuse me, distribute the two onto the 16 to eight H and the H squared.  You're going to get a 16 H, and then, oh boy, should have squeezed it in there a little bit better. You're gonna get a two H squared right there. Still as we're taking the limit as H goes to zero all above H. Now notice what happened to our constants. We had a positive 32 that cancels to the negative 32. All the constants cancel out. That's so amazing. It's not a coincidence. Please don't take my animation to think any more than sarcasm here. We see that what didn't get canceled out. We have a two H squared. We have a 16 H minus a five H. That's gonna give us an 11 H, and this will then sit above an H like so. So factoring an H from the numerator, because everyone's now divisible by H. You can take out an H leaves behind a two H plus 11. This sits above the H as H goes to zero. Cancel the factor of H from the denominator and the numerator there. And so now we're left with a two H plus 11, which if we'd send H to zero out, now there's no division by zero problem. We'll end up with two times zero plus 11, which then tells us that our object is moving at exactly 11 feet per second. So above, right, we saw that the average, the average speed delta S with delta T as we went from two to four, that turned out to be 14 feet per second, which relatively speaking was a good estimate of 11 feet per second. But the thing is we shrink the interval from two to four if we slide to closer and closer and closer to four, when we take the limit of this approach, we'll see that the instantaneous velocity was 11 feet per second.


Wives of the 10th Benway State House of Assembly have promised to support their husbands to deliver dividends of democracy to their constituencies, as well as ensuring unity of purpose in the House to seek empowerment opportunities from the executive arm that will benefit women of their constituencies. These were some of the resolutions reached at the inaugural meeting of the wives of members of the Benway State House of Assembly chaired by the wife of the Speaker, Mrs. Cynthia D'Agio in Maccordie. Our correspondent, Francis Teyre, reports that women also assured that Father Leah's administration is on track to reposition the state. I have always been advising. There should be no discrimination whether you are coming from MPC or Labour Party. I have always advised them to carry everybody along because we need people. We need them together because politics is a game of numbers. Whether you are coming from a different background, it does not count and I believe he is doing just that. I have been agitating for women. I have been speaking and I have always asked the government to give women appointment. There should be gender equality and I think the government, the present government is doing something about that which the result is going to be out soon. Expectations are high. What I have always appealed to people to give time. It is very too much and it is not hard time to say the administrator is not working, the administrator is not working. It is working and it will work. So people should be calm for now. The Ninth Assembly has done a lot but people should expect greater things, greater heights. The Tenth Assembly is there to take Benway State to a higher level, to a level that is beyond human imagination. The people of Benway State will see great things in terms of development, in terms of basic amenities, things that have collapsed for years. They will restructure the government in such a way that the citizens will benefit and they will smile. As you can see the economy is very hard now. In as much as the masses are expecting a lot from them, they should not wage war against them. But they should give them time so that they will put things in place for the good development that will come. I guess that would be enough. If the masses are not pushing them, they will be able to put their plans on ground that will yield out positive results. The people of the state should understand that everything that happens in the state takes a process. Everything takes a process. The expectation is high. That's everybody knows. They should be rest assured that the 10th Assembly is committed to deliver even beyond their expectations. They should be patient, they should pray for the leaders and they should expect the best as they are committed to bringing dividends of democracy to them.