Question

1. Find the rate of change of y with respect to x at the indicated value...

1. Find the rate of change of y with respect to x at the indicated value of x. y =

x tan(x)
3 sec(x)

;    x = 0

y' = _____

2.  The total world population is forecast to be

P(t) = 0.00066t3 − 0.0713t2 + 0.84t + 6.04    (0 ≤ t ≤ 10) in year t, where t is measured in decades, with t = 0 corresponding to 2000 and P(t) is measured in billions.

(a) World population is forecast to peak in what year? Hint: Use the quadratic formula. (Remember that t is in decades and not in years. Round your answer down to the nearest year.)

____________

(b) At what number will the population peak? (Be sure to use the value of t found in part (a). Round your answer to two decimal places.)

____________ billion

Math   Calculus   
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