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Define f (x,y) = 3y √1+x4 a. Find the rate of change of f at the point (-1, 1) along the direction <1, -1>. b. Let C be the portion of the curve y = - -x³ from the point (-1, 3) to the point (3, -9). Evaluate c f(x,y)ds.

Define f (x,y) = 3y √1+x4 a. Find the rate of change of f at the point (-1, 1) along the direction <1, -1>. b. Let C be the portion of the curve y = - -x³ from the point (-1, 3) to the point (3, -9). Evaluate c f(x,y)ds.

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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Define f (x,y) = 3y 1+x4 a. Find the rate of change of f at the point (-1, 1) along the direction <1, -1>. b. Let C be the portion of the curve y = -x³ from the point (-1, 3) to the point (3, -9). Evaluate f f(x,y)ds.
Transcribed Image Text:Define f (x,y) = 3y 1+x4 a. Find the rate of change of f at the point (-1, 1) along the direction <1, -1>. b. Let C be the portion of the curve y = -x³ from the point (-1, 3) to the point (3, -9). Evaluate f f(x,y)ds.
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