The need for function prototypes in a program with user-defined functions begs the question, "why?"

PYTHON Code your own Python function to solve Ax=b. Add a documentation string section to be used with the Python function help() function. Demonstrate the function is correctly implemented, and explain your testing approach.

Using C++ Using your own creativity, make a set of function templates that have these features: This function must return a value. A function template with 1 template parameter, T. And, any other parameters you want. and then another function template but this time with 2 template parameters, T1 and T2. And, any other parameters you want.

Suppose that you have the following recursive function written in C++. I've intentionally written the function so that it doesn't use descriptive names for anything, though that's obviously not a good design practice, but I aim not to bias your understanding of the techniques you'll be using by assuming anything about what the function's goal is; to stay "on task" here, you should resist the temptation to try to figure that out first. void kaboom( const std::vector& v, std::vector& w, unsigned int i) { if (i < w.size()) { int q = 0; for (int j : v) { q += j; } w.at(i) - kaboom(v, w, i + 1); } = q; } 1. Using the techniques from our discussion of the Asymptotic Analysis of Recursion, write a recurrence that describes the time required to run the following call to kaboom for two vector v and w whose sizes are the same. Use the variable s in your recurrence to denote that size. kaboom(v, w, 0) 2. Using the repeated substitution technique, reduce the recurrence to a closed form, then give…

Could you comment on the significance of the act of programming functions?

Define a function object and explain its significance in programming.