Chapter 15.2, Problem 71E

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7th Edition

Ron Larson + 1 other

ISBN: 9781337552516

Textbook Problem

Lateral Surface Area In Exercises 65-72, find the area of the lateral surface (see figure) over the curve *C* in the *x y*-plane and under the surface

To determine

**To Calculate:** The area of the lateral surface over the curve *C* in the *xy*-plane and under the given surface

Refer to figure in question.

Explanation

**Given:**

The given surface is

**Formula Used:**

The integration formula is

And,

**Calculation:**

Let

Usingthis data, the position vector as:

On differentiating

So,

Thus, lateral surface area,

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