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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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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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