mine the direction in which ƒ has maximum rate of increase from P. S(x, y, z) = x²y/z, P=(-1,2,16) e your answer using component form or standard basis vectors. Express numbers in exact f ons where needed.) rection of maximum rate of increase:

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 9CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...
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Determine the direction in which f has maximum rate of increase from P.
S(x, y, z) = x²y/z, P=(-1,2, 16)
(Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and
fractions where needed.)
direction of maximum rate of increase:
Determine the rate of change in that direction.
(Give an exact answer. Use symbolic notation and fractions where needed.)
rate of change:
Transcribed Image Text:Determine the direction in which f has maximum rate of increase from P. S(x, y, z) = x²y/z, P=(-1,2, 16) (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) direction of maximum rate of increase: Determine the rate of change in that direction. (Give an exact answer. Use symbolic notation and fractions where needed.) rate of change:
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