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13 Nov 2019
2. Suppose Fx.) er and x.)- (a) Find OP and22 (b) Suppose G is the curve given by: r(t)-ãcos(1), sino) where 0 tS2Ï. Find JF.dr (c) Two Calculus three students, Jim and Jenny, are asked to state whether or not F is a conservative vector field on its domain and explain why. Jim makes the following argument "The vector field F is conservative by theorem 6 on page 1091 of the book since-=- " Jenny makes the following argument: "Since J F-dr-o we know by theorem 3 on page 1089 of the book that jF-dr is not independent of path. Then, since line integrals of conservative vector fields must be independent of path, we kmow that F is not conservative". Explain whose y ila argument is incorrect.
2. Suppose Fx.) er and x.)- (a) Find OP and22 (b) Suppose G is the curve given by: r(t)-ãcos(1), sino) where 0 tS2Ï. Find JF.dr (c) Two Calculus three students, Jim and Jenny, are asked to state whether or not F is a conservative vector field on its domain and explain why. Jim makes the following argument "The vector field F is conservative by theorem 6 on page 1091 of the book since-=- " Jenny makes the following argument: "Since J F-dr-o we know by theorem 3 on page 1089 of the book that jF-dr is not independent of path. Then, since line integrals of conservative vector fields must be independent of path, we kmow that F is not conservative". Explain whose y ila argument is incorrect.
Patrina SchowalterLv2
27 Apr 2019