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13 Nov 2019
Let F(x, y) = x2+yf' ' x, + y A. Calculate Ï F-dr where C is the unit circle centered at the origin and is traversed once. (Note: the unit circle is traced out by (r) =cos ti + sin ti /*(x(t) = cost, y() = sin t 0 1S2Ï.) B. What is the domain of F? Sketch the domain by hand 00_oP C. Calculate D. Calculate our same line integral, 4F-dr , using Green's Theorem. Sketch the region enclosed by the curve along with the domain found in B on the same set of axes. D. Compare your answers in parts A & D. Does Green's Theorem even apply?
Let F(x, y) = x2+yf' ' x, + y A. Calculate Ï F-dr where C is the unit circle centered at the origin and is traversed once. (Note: the unit circle is traced out by (r) =cos ti + sin ti /*(x(t) = cost, y() = sin t 0 1S2Ï.) B. What is the domain of F? Sketch the domain by hand 00_oP C. Calculate D. Calculate our same line integral, 4F-dr , using Green's Theorem. Sketch the region enclosed by the curve along with the domain found in B on the same set of axes. D. Compare your answers in parts A & D. Does Green's Theorem even apply?
Casey DurganLv2
6 Apr 2019