Let F(x, y, z) = (6xyz+4x) i+(3x²z+ze")j+(3x²y-e=v) k, and let C be the portion of the parametric curve given by x = 5 cost, y= and ends at (-–6,0,0) (see diagram to the right). Calculate 6 sin t, z = 3 +3 sin(11t/2) that starts at (6,0, 3) | F•dr. Show your work, and circle your final answer.

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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Let F(x, y, z) = (6xyz+4x) i+(3a²z+ze-")j+(3x²y-e¬³) k,
and let C be the portion of the parametric curve given by x =
6 cos t, y = 6 sin t, z = 3+3 sin(11t/2) that starts at (6,0, 3)
and ends at (-6,0,0) (see diagram to the right). Calculate
%D
F. dr. Show your work, and circle your final answer.
(-6, 0, 6),
(6, 0, 3)
x.
Transcribed Image Text:Let F(x, y, z) = (6xyz+4x) i+(3a²z+ze-")j+(3x²y-e¬³) k, and let C be the portion of the parametric curve given by x = 6 cos t, y = 6 sin t, z = 3+3 sin(11t/2) that starts at (6,0, 3) and ends at (-6,0,0) (see diagram to the right). Calculate %D F. dr. Show your work, and circle your final answer. (-6, 0, 6), (6, 0, 3) x.
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