10/16/1997

MATH 1142

QUIZ III (25 minutes)

(4 pts) 1) Find the derivative of using both the definition of the limit and the power rule.

(5 pts) 2) Let .

(2 pts) a) Find the equation of the tangent line to the graph when x=2.

(3 pts) b) Find where the derivative is 0. Try to draw the graph of the function in the neighborhood of that point. What can you say about that point?

(5 pts) 3) It is projected that x months from now, the population of a certain town will be .

(2 pts) a) At what rate will the population be changing with respect to time 9 months from now? Is the population growing? How do you know?

(3 pts) b) At what percentage rate will the population be changing with respect to time 9 months from now?

(6 pts) 4) The displacement of an object moving along a line is given by the function for .

(3 pts) a) Find the velocity of the object and discuss its motion.

(3 pts) c) Find the acceleration of the object and determine when the object is accelerating and decelerating.

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