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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 18EQ

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10) Hooke's law is applicable to idealized (linear) springs that are not stretched or compressed
too far. Consider a nonlinear spring whose restoring force is given by F(x) = 16x - 0.3x3, for
Ixl s9. How much work is done in stretching the spring from its equilibrium position (x =
0) to x = 1? Round to two decimal places when appropriate.

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