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5 . A spring with a constant k = 2 . 3 ft - lb / in has a natural length of 8 inches. How

5 .

A spring with a constant k

= 2.3

-

/

in has a natural length of

8

inches. How much work is required to stretch it from the natural length to a total length of

9

inches? How much work would be required instead to compress it from its natural length to a total length of

7

inches? Please solve using calculus and show all steps.

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