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13 Nov 2019
Help with Calc 3
Problem 1. Let F-yi - xyj, let D be the unit disc and let n be the unit outwards normal vector. Prove that F nds 0 in two ways: first use Green's theorem and second compute the path integral directly. Problem 2. Show that, if C is a simple closed curve that bounds a region D, on which Green's theorem applies, the area of D can be given as AJcxdy =-Jeydr. Problem 3. Let S be the upper hemisphere of radius one. Let F(x, y, z) = ~21+ zj + yk. Verify Stoke's theorem for the given vector field and surface S.
Help with Calc 3
Problem 1. Let F-yi - xyj, let D be the unit disc and let n be the unit outwards normal vector. Prove that F nds 0 in two ways: first use Green's theorem and second compute the path integral directly. Problem 2. Show that, if C is a simple closed curve that bounds a region D, on which Green's theorem applies, the area of D can be given as AJcxdy =-Jeydr. Problem 3. Let S be the upper hemisphere of radius one. Let F(x, y, z) = ~21+ zj + yk. Verify Stoke's theorem for the given vector field and surface S.
Casey DurganLv2
27 Aug 2019