Find an expression gt giving the gap between the demand and

Question

Question: U.S. Nursing shortage the demand for nurses between 2000 and 2015 is estimated to be

D(t) = 0.0007t² + 0.0265t + 2          (0 ≤ t ≤ 8)

Where d(t) is measured in millions and t 0 corresponds to the year 2000. The supply of nurses over the same time period is estimated to be

S(t) = -0.0014t² + 0.0326t + 1.9           (0 ≤ t ≤ 8)

Where s(t) is also measured in millions.

A. Find an expression g(t) giving the gap between the demand and supply of nurses over the period in question.

B. Find the interval where g is decreasing and where it is increasing. Interpret your result.

C. Find the relative extrema of g. Interpret your result.