Chapter 15.5, Problem 4E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Find the area of the surface.

**4**. The part of the surface 2*y* + 4*z* - *x*^{2} = 5 that lies above the triangle with vertices (0, 0), (2. 0), and (2, 4)

To determine

**To find:** The area of given surface.

Explanation

**Given:**

The part of the surafce,

The region *D* lies above the triangle with vertices

**Formula used:**

The surface area with equation

Here, *D* is the given region.

**Calculation:**

The given equation becomes,

The partial derivatives

From the given vertices of the triangle, it is observed that *x* varies from 0 to 2 and *y* varies from 0 to

Integrate with respect to *y*

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