I need two calculus equations for my math project. One has to equal 350, and the other has to equal 25.

Question

Problems can be any type of calculus problem. Preferable if it is explained how to reach the answers. 

Answer 1

Consider these two calculus problems:

 

(1)

 

f(x) = -2(x - 350)² + 17

 

Using the derivative, find the value of x where y is maximum.

 

(2)

 

Evaluate ∫₀⁵ 2x dx