A cheetah is standing 1 m from the edge of the jungle. It starts sprinting across the

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A cheetah is standing 1 m from the edge of the jungle. It starts sprinting across the savanna to attack a zebra that is 200 m from the edge of the jungle. After t seconds, the velocity of the cheetah is e^t m/s.

The following describe the velocities of different animals. In each case,

a. Draw a graph of the velocity as a function of time.

b. Write a differential equation for the position.

c. Guess the solution of this equation.

d. Draw a graph of the position as a function of time.

e. How long will it take to reach its goal?

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Modeling the Dynamics of Life Calculus and Probability for Life Scientists

ISBN: 978-0840064189

3rd edition

Authors: Frederick R. Adler

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Question Posted: Apr 14, 2016 06:03 AM

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A cheetah is standing 1 m from the edge of the jungle. It starts sprinting across the

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