gp02 - , . 5] iii. [0 , . 01] iv. [-. 01 , 0] v. [-. 5 , 0]...

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Homework 2, Graded Problems. 1. The number of rabbits in a certain location is given by the function P ( t ) = P 0 e kt where t is measured in months. Assume that there are 100 rabbits at time zero and that there will be 200 rabbits after 40 months. (a) (10 pts.) How many rabbits after 1 month? (b) (15 pts.) Find the average rate of change of P on each of the following time intervals: i. [0 , 1] ii. [0
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Unformatted text preview: , . 5] iii. [0 , . 01] iv. [-. 01 , 0] v. [-. 5 , 0] (c) (5 pts.) Guess rate of change of P at the instant t = 0. 2. (10 pts.) If f ( x ) = 2 x 2 + 3 x , ±nd the slope of the curve at the point (-1 ,-1). Get an exact answer. Use the method of “limit of secant slopes”. Show all your work. DO NOT use any calculus techniques from Chapter 3. 1...
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This note was uploaded on 10/12/2011 for the course MATH 170 taught by Professor Staff during the Fall '08 term at Boise State.

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