4. Let V : R R³ be given by: V(x,y, z) = (x – y²)e**v*z="i+ j+ (S" cos(tyz) dt) k. Let F = curl(V). Find the flux Vy? + e'1) of the vector field F across the closed boundary o of the solid egg- shaped region given by y? + 22 (0.1x + 2.7)2 1. (A sketch of surface o is attached.) 42

4. Let V : R R³ be given by: V(x,y, z) = (x – y²)e**v*z="i+ j+ (S" cos(tyz) dt) k. Let F = curl(V). Find the flux Vy? + e'1) of the vector field F across the closed boundary o of the solid egg- shaped region given by y? + 22 (0.1x + 2.7)2 1. (A sketch of surface o is attached.) 42

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

How do I find the flux of this vector field in the image attached?

4. Let V : R R³ be given by: V(x,y, z) = (x – y²)e**v*z="i+
j+ (S" cos(tyz) dt) k. Let F = curl(V). Find the flux
Vy? + e'1)
of the vector field F across the closed boundary o of the solid egg-
shaped region given by
y? + 22
(0.1x + 2.7)2
1.
(A sketch of surface o is attached.)
42

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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