Answer q3 Q3(a) Calculate the divergence of curl of vector F = e2z+y î + sin yz? ĵ + cos yzx k,V· (V × F).(b) Find the work done by force field F = 3x² î + y²j _on a particle when it moves from(0, 0) to (-t, 0) along the curves C1 and C2 in Figure Q3 (b) by solving . F dr.Based on your calculation, judge whether the force, F is conservative or non-conservative and give your explanation.(c) Evaluate Sl. 2y² + 4z² ds, whereis the first octant portion of a conez = Vx2 + y² with height of 9.

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Advanced Math

Calculate the divergence of curl of vector F = e22+y î + sin yz² j+ cos yzx k, V• (V × F).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Answer q3

Q3
(a) Calculate the divergence of curl of vector F = e2z+y î + sin yz? ĵ + cos yzx k,
V· (V × F).
(b) Find the work done by force field F = 3x² î + y²j _on a particle when it moves from
(0, 0) to (-t, 0) along the curves C1 and C2 in Figure Q3 (b) by solving . F dr.
Based on your calculation, judge whether the force, F is conservative or non-
conservative and give your explanation.
(c) Evaluate Sl. 2y² + 4z² ds, where
is the first octant portion of a cone
z = Vx2 + y² with height of 9.

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