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Calculus / Calculus: Single Variable 6 / Chapter 8.1 / Problem 36

Calculus: Single Variable | 6th Edition | ISBN: 9780470888643 | Authors: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, David O. Lomen, David Lovelock, & 9 more

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A rectangular lake is 150 km long and 3 km wide. The vertical cross-section through the

Chapter 8, Problem 36

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QUESTION:

A rectangular lake is 150 km long and 3 km wide. The vertical cross-section through the lake in Figure 8.18 shows that the lake is 0.2 km deep at the center. (These are the approximate dimensions of Lake Mead, the largest reservoir in the US, which provides water to California, Nevada, and Arizona.) Set up and evaluate a definite integral giving the total volume of water in the lake.

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QUESTION:

A rectangular lake is 150 km long and 3 km wide. The vertical cross-section through the lake in Figure 8.18 shows that the lake is 0.2 km deep at the center. (These are the approximate dimensions of Lake Mead, the largest reservoir in the US, which provides water to California, Nevada, and Arizona.) Set up and evaluate a definite integral giving the total volume of water in the lake.

ANSWER:

The volume of water in the lake is given by the defin

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