I needed help with how to apply divergence theorem for this problem. Setting up the problem and using divergence theorem are things I need a refresher on. MATH213 - Calculus IIIWorksheet 144. (Section 17.8) Use the Divergence Theorem to calculate•[[F.F-dS, where Fyi+zyj - zk and Sis the boundary of the region inside the solid cylinder z² + y² ≤ 4, between the plane z = 0 and theparaboloid z = z² + y². (Assume positive or outward orientation for the surface.) MATH213 - Calculus IIIWorksheet 144. (Section 17.8) Use the Divergence Theorem to calculate•[[F.F-dS, where Fyi+zyj - zk and Sis the boundary of the region inside the solid cylinder z² + y² ≤ 4, between the plane z = 0 and theparaboloid z = z² + y². (Assume positive or outward orientation for the surface.)

To use the divergence theorem to calculate ∫∫SF⋅dS.

4. (Section 17.8) Use the Divergence Theorem to calculate [[F F-dS, where F = y + ryj – zk and S is the boundary of the region inside the solid cylinder z² + y² ≤ 4, between the plane z = 0 and the paraboloid z = r² + y². (Assume positive or outward orientation for the surface.)

4. (Section 17.8) Use the Divergence Theorem to calculate [[F F-dS, where F = y + ryj – zk and S is the boundary of the region inside the solid cylinder z² + y² ≤ 4, between the plane z = 0 and the paraboloid z = r² + y². (Assume positive or outward orientation for the surface.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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I needed help with how to apply divergence theorem for this problem. Setting up the problem and using divergence theorem are things I need a refresher on.