Consider F and C below. (a) Find a function f such that F = Vf. (b) F(x, y) = (2x, 6y), C is the arc of the parabola x = y² from (4, -2) to (1, 1) f(x, y) = x² + 2y² + C Use part (a) to evaluate -21 JC X F. dr along the given curve C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Consider F and C below.
F(x, y) = (2x, 6y), C is the arc of the parabola x = y² from (4, −2) to (1, 1)
(a) Find a function f such that F = Vf.
f(x, y) = x² + 2y² + C
(b) Use part (a) to evaluate
-21
JC
X
F. dr along the given curve C.
Transcribed Image Text:Consider F and C below. F(x, y) = (2x, 6y), C is the arc of the parabola x = y² from (4, −2) to (1, 1) (a) Find a function f such that F = Vf. f(x, y) = x² + 2y² + C (b) Use part (a) to evaluate -21 JC X F. dr along the given curve C.
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