Consider the vector field F⃗ = (2x 2 , −3y, z2 ). i) Compute the divergence and integrate it over the cylinder bounded b
Posted: Mon May 09, 2022 1:38 pm
Consider the vector field F⃗ = (2x 2 , −3y,
z2 ).
i) Compute the divergence and integrate it over the cylinder
bounded by z = 0, 2 and x 2 + y 2 = 9. [5]
ii) Verify the divergence theorem by computing the flux of this
vector field through the cylinder defined above [7]
z2 ).
i) Compute the divergence and integrate it over the cylinder
bounded by z = 0, 2 and x 2 + y 2 = 9. [5]
ii) Verify the divergence theorem by computing the flux of this
vector field through the cylinder defined above [7]