Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 13 - Partial Derivatives - 13.1 Functions Of Two Or More Variables - Exercises Set 13.1 - Page 916: 52

Answer

See explanation

Work Step by Step

Given , z=y/x & k=−2,−1,0,1,2 Let, z=k=−2,−1,0,1,2 for k=-2 y/x= -2 =>y=-2x [ we know y=mx where m is slope] for k=-1 y/x = -1 =>y=-x for k=0 y/x = 0 =>y=0 [x axis] for k=1 y/x=1 y=x for k=2 y/x=2 y=2x
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