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Mathematics, 06.12.2019 01:31 recon12759

Complete the following parts for the line integral integral_c (x^2 + y^2) ds, where c is the circle of radius 2 centered at (0, 0). a. find a parametric description for c in the form r(t) = (x(t), y( b. evaluate |r'(t)|. c. convert the line integral to an ordinary integral with respect to the parameter and evaluate it. a. find the parametric description for c. choose the correct answer below. a. r (t)= (4cos^2t, 4sin^2t), for 0 lessthanorequalto t lessthanorequalto 2 pi b. r(t) = (2 cos t,2 sin t), for 0 lessthanorequalto t lessthanorequalto 2 pi c. r(t) = (squareroot 2 cost,-squareroot 2 sin t), for 0 lessthanorequalto t lessthanorequalto 2 pi d. r (t) = (4 cos^2t, 4sin^2t), for 0 lessthanorequalto t lessthanorequalto 2 pi e. r(t)= (squareroot 2 cost,-squareroot 2 sint), for 0 squareroot t squareroot 2 f. r(t) = (2 cos t,2 sin t), for 0 squareroot t squareroot 2 b. evaluate |r'(t)|. |r'(t)| = (type an exact answer, using pi as needed.) c. the value of the ordinary integral is. (type an exact answer, using pi as needed.)

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Complete the following parts for the line integral integral_c (x^2 + y^2) ds, where c is the circle...
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