Consider F and C below. F(x, y, z) = yzexZi + e²j + xye*²k, C: r(t) = (2 + 4)i + (t² – 1)j + (t² - 3t)k, 0sts 3 (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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider F and C below.
F(x, y, z) = yzexZi + e²j + xye*²k,
C: r(t) = (2 + 4)i + (t² – 1)j + (t² - 3t)k, 0sts 3
(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) = yzexZi + e²j + xye*²k, C: r(t) = (2 + 4)i + (t² – 1)j + (t² - 3t)k, 0sts 3 (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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