If the sum of two positive numbers x and y is 3, then the absolute maximum of x^3+12xy is what?

32 at x = 2

Step-by-step explanation:

If the sum of two positive numbers x and y is 3, then

and

To find the absolute maximum of the function

find the derivative

and equate it to 0:

For - the function f(x) increases

For - the function f(x) decreases

For - the function f(x) increases

So, x = 2 is maximum, x = 6 is minimum

The maximum value of is

part 1 answer = 8

part 2 answer = 72

step-by-step explanation:

part 1 explanation = add all of the numbers, then divide by how many numbers you have. so, 200/25 = 8.

part 2 explanation = not gonna lie, this is hard to explain, so just google how to do it.