Chapter 14.5, Problem 37E

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11th Edition

Ron Larson + 1 other

ISBN: 9781337275347

Textbook Problem

Surface Area Find the surface area of the solid of intersection of the cylinders

To determine

**To calculate:** The surface area of solid of intersection of area if the cylinders

Explanation

**Given:**

The given two cylinders are

**Formula used:**

The surface area can be found by,

The chain rule is:

The differentiation formula is

**Calculation:**

The equation for the surface is,

First find the partial derivative with respect to *x* by the chain rule

The derivative is:

Againdifferentiate with respect to *y* is:

Now put the above derivatives in the formula

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