Consider F and C below. F(x, y, z) = (y²z + 2xz?)i + 2xyzj + (xy² + 2x²z)k, C: x = Vt, y = t + 8, z = t2, ostsi (a) Find a function f such that F = Vf. f(x, у, 2) %3 (b) Use part (a) to evaluate F. dr along the given curve C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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Consider F and C below.
F(x, y, z) = (y²z + 2xz?)i + 2xyzj + (xy² + 2x²z)k,
C: x = Vt, y = t + 8, z = t2, ostsi
(a) Find a function f such that F = Vf.
f(x, у, 2) %3
(b) Use part (a) to evaluate
F. dr along the given curve C.
Transcribed Image Text:Consider F and C below. F(x, y, z) = (y²z + 2xz?)i + 2xyzj + (xy² + 2x²z)k, C: x = Vt, y = t + 8, z = t2, ostsi (a) Find a function f such that F = Vf. f(x, у, 2) %3 (b) Use part (a) to evaluate F. dr along the given curve C.
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