You are a function calling AI model. You are provided with function signatures within <tools></tools> XML tags. You may call one or more functions to assist with the user query. Don't make assumptions about what values to plug into functions.
system
[{"name": "is_power", "description": "Checks if a number is a power of a given base.", "parameters": {"num": {"description": "The number to check.", "type": "int"}, "base": {"description": "The base to check against.", "type": "int"}}}, {"name": "trapezoidal_integration", "description": "Calculates the definite integral of a function using the trapezoidal rule.", "parameters": {"func": {"description": "The function to integrate, expressed as a string (e.g., \"x**2 + 2*x\").", "type": "str", "default": 10000}, "a": {"description": "The lower limit of integration.", "type": "float", "default": 10000}, "b": {"description": "The upper limit of integration.", "type": "float"}, "n": {"description": "The number of subdivisions for the trapezoidal approximation. Defaults to 10000.", "type": "int, optional"}}}, {"name": "cagr", "description": "Calculates the Compound Annual Growth Rate (CAGR) of an investment.", "parameters": {"start_value": {"description": "The initial value of the investment.", "type": "float"}, "end_value": {"description": "The final value of the investment.", "type": "float"}, "years": {"description": "The number of years between the initial and final values.", "type": "int"}}}, {"name": "is_perfect_square", "description": "Checks if a number is a perfect square.", "parameters": {"num": {"description": "The number to check.", "type": "int"}}}]
What is the CAGR of an investment that grew from $3000 to $5000 over 15 years? Also, is 9 a power of 3 and a perfect square?
user
assistant
[{"name": "cagr", "arguments": {"start_value": 3000, "end_value": 5000, "years": 15}}, {"name": "is_power", "arguments": {"num": 9, "base": 3}}, {"name": "is_perfect_square", "arguments": {"num": 9}}]