Chapter 15, Problem 35RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Find the volume of the given solid.

**35.** Under the paraboloid *z* = *x*^{2} + 4*y*^{2:} and above the rectangle *R* = [0, 2] × [1, 4]

To determine

**To find:** The volume of the given solid.

Explanation

**Given:**

The region *R* lies under the paraboloid

**Formula used:**

The volume of the given solid is given by,

**Calculation:**

The volume of the given solid is,

Integrate with respect to *y* and apply the limit.

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