   Chapter 7.3, Problem 37E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Sketching a Contour Map In Exercises 35–42, describe the level curves of the function. Sketch a contour map of the surface using level curves for the given c-values. See Example 3. F u n c t i o n c − V a l u e s z = 25 − x 2 − y 2 c = 0 ,   1 ,   2 ,   3 ,   4 ,   5

To determine

To graph: A contour map of the surface using level curves for the given c-values.

Explanation

Given Information:

The equation of the function is given as z=25x2y2 and c-values are 0, 1, 2, 3, 4,5

Graph:

Consider the given functions,

Take c=z=25x2y2

Now put the value the value of c in the equation, determine the equations,

For c=0,

0=25x2y2x2+y2=25

For c=1,

1=25x2y2x2+y2=24

For c=2,

2=25x2y2x2+y2=21

For c=3,

3=25x2y2

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