2.  You must stay in your seat (even during work time)  You may ONLY talk to your group members.  Before asking Mrs. Moore a question, you must ask everyone in YOUR GROUP the same question.  You must keep your voice at an appropriate level. If other groups can hear your entire conversation you are TOO LOUD!

3.  An astronaut standing on the moon throws a rock into the air. The height of the rock is given by the position function s(t) = (- 27/10)t 2 + 27t + 6 where s is measured in feet and t is measured in seconds. a. Write the velocity function. b. Find the acceleration at 2 seconds. Make sure to label your answer. Answers: -5.4t + 27, -5.4 ft/sec 2

4.  Find (d 2 y/dx 2 ) for y = (x + 4)/(x – 2)  Answer: -12/(x-3) 3

5.  Find all points at which the following relation has a vertical tangent line: 5x 2 + y 2 – 7x + 3y + 4 = 0  Answer:

6.  The graph shows the function f consisting of two line segments and the graph of g, a line. a. Let h(x) = f(x)/g(x). Calculate h(0) and h’(0) b. Let k(x) = f(x) – 1/g(x). Calculate k(4) and k’(4). c. Let q(x) = f(g(x)). Calculate q(2) and q’(2). Answers: 3/2, -7/8, 11/3, 11/18, 2, 1/2 f(x) g(x)

7.  The edges of a cube are expanding at a rate of 9 centimeters per second. How fast is the surface area changing when each edge is 7 centimeters? Answer: 756 cm 2 /sec

8.  A balloon rises at a rate of 6 feet per second from a point on the ground 50 feet from an observer. Find the rate of change of the angle of elevation when the balloon is 30 feet off the ground. Answer: 3/34 radians/sec

9.  A coin is dropped from a height of 800 feet. The height, s, (measured in feet) at time, t, (measured in seconds) is given by s = -16t 2 + 800. a. Find the average velocity on the time interval [2, 4]. b. Find the instantaneous velocity when t = 2. c. How long does it take for the coin to hit the ground? d. Find the velocity of the coin when it hits the ground. Answers: -96ft/sec, -64 ft/sec, 7.07 sec, - 226.24ft/sec

10.  Evaluate the derivative of the function for f(t) = t/(sin t) at the point (π/3, 2π/3). Answer: