The counter in a for or while loop can have an explicit increment: for i=m: k: n. this advances the counter i by increment k each time. in this problem we will evaluate the product of the first 9 even numbers 2·4·6··18 in two ways: (a) write a script file that evaluates the product of the first 9 even numbers using a for loop.(b) evaluate the product of the first 9 even numbers using a single matlab command. use the matlab command prod.

The value of sin(x) (in radians) can be approximated by the alternating infinite series create a function (prob3_2) that takes inputs of a scalar angle measure (in radians) and the number of approximation terms, n, and estimates sin(x). do not use the sin function in your solution. you may use the factorial function. though this can be done without a loop (more efficiently), your program must use (at least) one. you may find the mod() function useful in solving the problem.