Evaluate the line integral Vo• dr for the following function o 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. p(x.y) = 3x + 5y; C: r(t) = (4 -t,t), for Osts4

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Evaluate the line integral V • 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.
P(x,y) = 3x + 5y;
C: r(t) = (4 - t,t), for 0sts4
(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.)
Transcribed Image Text:Evaluate the line integral V • 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. P(x,y) = 3x + 5y; C: r(t) = (4 - t,t), for 0sts4 (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.)
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