MATH 140 2d EXAM

(3.2 – 4.2)

NAME:____________________________

Time: 60 minutes

No books, no notes, no calculators

Each of the 6 numbered problems is worth 10 points.

Show all work

1. By using the derivative rules (e.g. the product rule, the quotient rule …) that we have learned, find and simplify

(a)

(b) y =

(c)

2. If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after t seconds is s = .

(a) At what time is the maximum height reached by the ball?

(b) What is the velocity of the ball when it is 96ft above the ground on its way down?

3.

4.

5.

a. Find the area of

triangle OPQ in terms of

b. Find the area of

Triangle OTA in terms of

6.