(a) Explanation Given: v ( t ) = v * ( 1 − e − g t / v * ) Calculation: The above function can be evaluated as lim t → ∞ v ( t ) = lim t → ∞ v * ( 1 − e − g t / v * ) lim t → ∞ v ( t ) = v (b) To determine The time taken by the velocity of rain drop to reach 99% of the terminal velocity.

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Question

Chapter 2.2, Problem 37E

(a)

To determine

The value of limt→∞v(t)

(b)

To determine

The time taken by the velocity of rain drop to reach 99% of the terminal velocity.

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Chapter 2.2, Problem 36E

Chapter 2.3, Problem 1E

Chapter 2 Solutions

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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The value of lim t → ∞ v ( t )