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Define f (x,y) = 3y √1+x² 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, ½) to the point (3, -9). Evaluate ſc f(x,y)ds.

Define f (x,y) = 3y √1+x² 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, ½) to the point (3, -9). Evaluate ſc f(x,y)ds.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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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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