Question: Evaluate the line integral Vp . dr for the following function p and oriented curve C (a) using a parametric description of C and evaluating


Evaluate the line integral Vp . dr for the following function p and oriented curve C (a) using a parametric description of C and evaluating the integral directly, and (b) using the Fundamental Theorem for line integrals. x2 + 12+ 2 2 Q(x, y, z) = 2 C:1(U - cost , sint # ) . for 3 315 6 (a) Set up the integral used to evaluate the line integral using a parametric description of C. Use increasing limits of integration. (dt (Type exact answers.) (b) Select the correct choice below and fill in the answer box(es) to complete your choice. (Type exact answers.) O A. If A is the first point on the curve, and B is the last point on the curve, ( , , ), then the value of the line integral is p(A) - Q(B). O B. If B is the last point on the curve, then the value of the line integral is q(B). O C. If A is the first point on the curve, then the value of the line integral is q(A). O D. If A is the first point on the curve, and B is the last point on the curve, ( , , ), then the value of the line integral is q(B) - Q(A). Using either method, Vp . dr = ]. C (Type an exact answer.)
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