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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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Matching In Exercises 31-34, match the graph of the surface with one of the contour maps. [The contour maps are labeled (a)-(d).]

Chapter 7.3, Problem 34E, Matching In Exercises 31-34, match the graph of the surface with one of the contour maps. [The , example  1

f ( x , y ) = ln | y x 2 |

Chapter 7.3, Problem 34E, Matching In Exercises 31-34, match the graph of the surface with one of the contour maps. [The , example  2

To determine

The correct match for the function f(x,y)=ln|yx2| from the following options:

Calculus: An Applied Approach (MindTap Course List), Chapter 7.3, Problem 34E

Explanation

Given Information:

The option for provide function f(x,y)=ln|yx2| are:

The graph of function f(x,y)=ln|yx2|.

Consider the provide function,

f(x,y)=ln|yx2|

Substitute f(x,y)=C1 in the equation f(x,y)=ln|yx2| to obtain contour map,

C1=ln|yx2|

Take Antilog both sides,

lnC1=lne1x2y21x2y2=C11x2+y2=1C11

This equation represent the equation of circle.

Substitute f(x,y)=C2 in the equation f(x,y)=ln|yx2| to obtain contour map,

C2=e1x2y2

Take log both sides,

lnC2=lne1x2y21x2y2=C21x2+y2=1C21

This equation represent the equation of circle

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