Chapter 16, Problem 11RCC

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

(a) What is a parametric surface? What arc its grid curves?

(b) Write an expression for the area of a parametric surface.

(c) What is the area of a surface given by an equation *z* = *g*(*x*, *y*)?

**(a)**

To determine

**To explain**: The parametric surface and its grid curves.

Explanation

The surface *S* of vector function of two parameters *u* and *v*

Here,

*x*, *y*, and *z* are component functions of

Consider the vector function
*D* on
*uv*-plane

**(b)**

To determine

**To write**: The expression for area of parametric surface.

**(c)**

To determine

The area of surface of equation

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