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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275378

Chapter 16.3, Problem 37E

Textbook Problem

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Motion of a SpringRefer to the differential equation and the initial conditions given in Exercise 36.

(a) When there is no resistance to the motion (*b* = 0), describe the motion.

(b) For *b* > 0, what is the ultimate effect of the retarding force?

(c) Is there a real number *M* such that there will be no oscillations of the spring for *b* >*M*? Explain your answer.

**a)**

To determine

The description of motion when there is no resistance to the motion

**Given information:**

The figure shows the particular solution of the differential equation

*b* in the interval [0,1].

**b)**

To determine

The ultimate effect of the retarding force for

**c)**

To determine

Whether there is a real number *M* such that there will be no oscillations of the spring for

Multivariable Calculus

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