Explanation The function is given as, “The number of people in a village as a function of time.” Suppose the population grows at a rate that is proportional to the size of population, d P d t = k P where k is the growth rate. Solving this differential equation requires separation of variables, d P P = k d t Integrating both sides now, ∫ d P P = ∫ k d t ln P = k t + C <

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 2, Problem 29FOT

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Whether the function is continuous or not.

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Chapter 2, Problem 28FOT

Chapter 2, Problem 30FOT

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Let a = (-4, 5, 4) and 6 = (1,0, -1). Find the angle between the vector 1) The exact angle is cos 2) The approximation in radians is

Chapter 2 Solutions

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Ch. 2.1 - Prob. 1P Ch. 2.1 - Prob. 2P Ch. 2.1 - Prob. 3P Ch. 2.1 - Prob. 4P Ch. 2.1 - Prob. 5P Ch. 2.1 - Prob. 6P Ch. 2.1 - Prob. 7P Ch. 2.1 - Prob. 8P Ch. 2.1 - Prob. 9P Ch. 2.1 - Prob. 10P

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To check: Whether the function is continuous or not.

Solution Summary: The author explains that the exponential function is continuous on every interval. The number of people in a village is proportional to the size of the population.

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To check: Whether the function is continuous or not.

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Chapter 2 Solutions

To check:

Whether the function is continuous or not.