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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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BuyFindarrow_forward

Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

Suppose that for the tank in Exercise 23 the pump breaks down after 4.7 × 10 5  J of work has been done. What is the depth of the water remaining in the tank?

To determine

To find:

The depth of the water remaining in the tank

Explanation

1) Concept:

The work is calculated by using the formula W=abf(x)dx

2) Given:

4.7×105 J of work is done

3) Calculation:

If 4.7×105 J of work is done, then the water above a certain level will be pumped out.

Therefore, use the same formula as in exercise 23 except that the work is fixed and find the lower limit of integration:

4.7×105h39.8×1035-x8x dx

=9.8×103h35-x8x dx

=9.8×103h340x-8x2 dx

=9.8×10340x22-8x33h3

=9

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