F(x, y, z) = (2xz + y²) i + 2xy j + (x² + 6z²) k C: x = t²2, y = t + 2, z = 2t - 1, 0≤t≤1 (a) Find a function f such that F Vf. f(x, y, z) = (b) Use part (a) to evaluate S Vf. dr along the given curve C
F(x, y, z) = (2xz + y²) i + 2xy j + (x² + 6z²) k C: x = t²2, y = t + 2, z = 2t - 1, 0≤t≤1 (a) Find a function f such that F Vf. f(x, y, z) = (b) Use part (a) to evaluate S Vf. dr along the given curve C
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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![Consider F and C below.
= (2xz + y²) i + 2xy j + (x² + 6z²) k
F(x, y, z) =
C: x = t²,
y = t + 2,
z = 2t - 1,
(a) Find a function f such that F = Vf.
f(x, y, z) =
(b) Use part (a) to evaluate
S
0 ≤ t ≤ 1
Vf. dr along the given curve C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc42a53c5-a661-4e08-8bd7-4bdfe484c1d7%2Fc00e4948-478e-48de-a6cd-e61e989e5863%2Feb6o08h_processed.png&w=3840&q=75)
Transcribed Image Text:Consider F and C below.
= (2xz + y²) i + 2xy j + (x² + 6z²) k
F(x, y, z) =
C: x = t²,
y = t + 2,
z = 2t - 1,
(a) Find a function f such that F = Vf.
f(x, y, z) =
(b) Use part (a) to evaluate
S
0 ≤ t ≤ 1
Vf. dr along the given curve C.
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