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A function z=f(x, y) is defined implicitly by the equation xy2 - x²z+yz² -z = 11 near point (2, -2, -1). The directional derivative of this function in the direction of v = (4, 3) is a) 17/5 b) 7/5 O c) 11/5 O d) 31/5 e) 17/5 Of) 23/5 202

A function z=f(x, y) is defined implicitly by the equation xy2 - x²z+yz² -z = 11 near point (2, -2, -1). The directional derivative of this function in the direction of v = (4, 3) is a) 17/5 b) 7/5 O c) 11/5 O d) 31/5 e) 17/5 Of) 23/5 202

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A function z=f(x, y) is defined implicitly by the equation xy2 - x²z+yz² -z = 11 near point (2, -2, -1). The directional derivative of this function in the direction of v = (4, 3) is a) 17/5 b) 7/5 O c) 11/5 O d) 31/5 e) 17/5 Of) 23/5 202
Transcribed Image Text:A function z=f(x, y) is defined implicitly by the equation xy2 - x²z+yz² -z = 11 near point (2, -2, -1). The directional derivative of this function in the direction of v = (4, 3) is a) 17/5 b) 7/5 O c) 11/5 O d) 31/5 e) 17/5 Of) 23/5 202
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