A coal-burning electrical generating plant emits sulfur dioxide into the surrounding air. The concentration C(x), in parts per million,is approximately given by the function:

Question

C(x)= 0.5/x^2,

where x is the distance away from the plant in miles. The instantaneous rate of change of sulfur dioxide concentration:

A) 5 miles from the plant=____
B) 8 miles from the plant=____

Answer 1

C ' (x) = - x^-3 or -1/x^3

when x = 5, C ' (5) = -1/125

when x = 8 , .......