Calculus I, Math 170 Final Exam Solutions Spring 2009 Directions ...

π/2 cos x
(b) (8 points) √ dx;
0 4 + 3 sin x
(9) A company which conducts telephone polls estimates that for a certain survey, the number
of minutes required by an employee to complete the k th interview is given by the function
f(k) = 4(1 + k) −1/5 .
(a) (6 points) Use a definite integral to estimate the amount of time required for an employee
to complete 100 interviews and 200 interviews.
(b) (6 points) If employees are paid $7.20 per hour, find the cost differential of one employee
conducting 200 interviews versus 2 employees conducting 100 interviews each. If the
objective is to save on costs, what should the company do?