F(x, y, z) = (y²z + 2xz2)i + 2xyzj + (xy2 + 2x²z)k, C: x = Vt, y = t + 3, z = t2, 0sts 1 %3D (a) Find a function f such that F = Vf. f(x, у, 2) %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider F and C below.
F(x, y, z) = (y²z + 2xz?)i + 2xyzj + (xy2 + 2x²z)k,
C: x = Vi, y = t + 3, z = t?, 0 sts1
(a) Find a function f such that F = Vf.
f(x, y, z) =
(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 = Vi, y = t + 3, z = t?, 0 sts1 (a) Find a function f such that F = Vf. f(x, y, z) = (b) Use part (a) to evaluate F. dr along the given curve C.
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