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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Sketch several level curves of the function.

5. f ( x , y ) = 4 x 2 + y 2

To determine

To draw: The contour map of the function f(x,y)=4x2+y2 .

Explanation

The level curves of a function f(x,y) are the curves with equations, f(x,y)=k where k is a constant. Thus, 4x2+y2=k .

It can be simplified as the pair of lines y=±2x when k = 0

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Chapter 14 Solutions

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