Question: Evaluate the following line integral. 4TC |xy ds; C is the portion of the unit circle r(s) = (cos s, sins), for Osss ? C

 Evaluate the following line integral. 4TC |xy ds; C is theportion of the unit circle r(s) = (cos s, sins), for Osss? C The value of the line integral is (Simplify your answer.)Evaluatethe following line integral. (4x2 - 7y2) ds; C is the liner(s) = S S 12 VZ , for Os=2 J (4x2 -7y?) ds=(Type an exact answer.) CUse a scalar line integral to findthe length of the following curve. "(1) = 42 sin 6 42
cos 6 3 for Osts 3 The length of the curve is0 (Type an exact answer, using radicals as needed.)Given the following vectorfield and oriented curve C, evaluate F - Tds. C F =(x,y) on the parabola r(t) = (6t, 1112), for Ost= 1 Thevalue of the line integral of F over C is (Type anexact answer, using radicals as needed.)the line\" integral of F Over Cis D. EtiaI-ISwer, using radicals as needed) glais Question 6, 17.2.49 Given

Evaluate the following line integral. 4TC |xy ds; C is the portion of the unit circle r(s) = (cos s, sins), for Osss ? C The value of the line integral is (Simplify your answer.)Evaluate the following line integral. (4x2 - 7y2) ds; C is the line r(s) = S S 12 VZ , for Os=2 J (4x2 - 7y?) ds=(Type an exact answer.) CUse a scalar line integral to find the length of the following curve. "(1) = 42 sin 6 42 cos 6 3 for Osts 3 The length of the curve is 0 (Type an exact answer, using radicals as needed.)Given the following vector field and oriented curve C, evaluate F - Tds. C F = (x,y) on the parabola r(t) = (6t, 1112), for Ost= 1 The value of the line integral of F over C is (Type an exact answer, using radicals as needed.)the line\" integral of F Over C is D. EtiaI-ISwer, using radicals as needed) glais Question 6, 17.2.49 Given the force field F, find the work required to move an object on the given oriented curve. F = (y, - x) on the path consisting of the line segment from (1,2) to (0,0) followed by the line segment from (0,0) to (0,7) The amount of work required is (Simplify your answer.)grals

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