WILL GIVE BRAINLEST HELP ASAP PLEASE

1) Find the approximate area between the curve f(x)=-2x + 32x + 5 and the x-axis on the interval (0,16] using 4 rectangles. Use the left endpoint of each rectangle to determine the height.

A) 2304 square units

B) 576 square units

C) 320 square units

D) 1360 square units

2) Find the approximate area between the curve f(x)= -4x^2+32x and the x-axis on the interval [0,8] using 4 rectangles. Use the right endpoint of each rectangle to determine the height.

A) 1152 square units
B) 320 square units
C) 288 square units
D) 160 square units

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0