[5] [5] B.1 Divergence Theorem a. State the divergence theorem, defining all quantities involved. Provide, in addition,
Posted: Mon May 09, 2022 1:36 pm
[5] [5] B.1 Divergence Theorem a. State the divergence theorem, defining all quantities involved. Provide, in addition, a physical interpretation of the divergence (in terms of a fluid for example). b. Evaluate V. B, B = You are allowed to use standard identities from the lecture notes. c. Consider the vector field F = (2x2, -3y, ). i) Compute the divergence and integrate it over the cylinder bounded by : = 0,2 and x2 + y = 9. ii) Verify the divergence theorem by computing the flux of this vector field through the cylinder defined above. d. Prove the following identity 7,602n + 69. Ön) = [sh as by using the divergence theorem [5] 17) [3]