calc notes lecture 26

calc notes lecture 26 - dying The population’s rate of...

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Lecture Section Objectives Assignment 26 5.3 Exponential and Logarithmic Integrals 5.3: 1-27 odd, 39-57 odd Understanding Goals: 1. Understand how to use the Exponential and Log Rule to find indefinite integrals. Example 1 : Find each indefinite integral: a) 3 x e dx e b) 3 3 x e dx e c) ( ) x e x dx - d) 2 1 x e dx + e) 3 1 x e dx - 1
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f) 2 3 x xe dx - g) 2 4 x xe dx e Example 2 : Find each indefinite integral: a) 2 dx x e b) 2 2 5 x dx x + c) 2 3 3 x dx x e 2
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d) 2 2 1 dx x - e) 1 4 1 dx x + f) 2 3 4 x dx x + h) 2 2 4 3 2 x x dx x - + i) 2 1 x dx e - + j) 2 2 5 1 x x dx x + + + 3
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Example 3 : Because of an insufficient oxygen supply, the trout population in a lake is
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Unformatted text preview: dying. The population’s rate of change can be modeled by 20 125 t dP e dt-= -where t is the time in days. When t = , the population is 2500. a) Write an equation that models the population P in terms of the time t . b) What is the population after 15 days? c) According to this model, how long will it take for the entire trout population to die? 4...
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calc notes lecture 26 - dying The population’s rate of...

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