Brief calculus.

Question

commissioners of a city determined that when x million dollars are spent on controlling pollution, the percentage of pollution removed P(x) is given by p(x) = 100sqrtx/0.04x^2+12

a) find and interpret P(5)

b) find an equation for the rate of change

c) find and interpret P'(5)

Answer 1

1) sub stitute 5 for x and calculate

2) determine p'(x)

3) calculate p'(5)