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Evaluate the following line integral. yz - x2 ds; C is line segment from (1,2,3) to (3, - 2,6). C . . . yz -
Evaluate the following line integral. yz - x2 ds; C is line segment from (1,2,3) to (3, - 2,6). C . . . yz - x2 ds = 7 C (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)Let f(x.y) = 3x and let C be the segment of the parabola y = 5x2 joining O(0,0) and P(1,5). a. Find a parameterization of C in the direction from O to P. Evaluate If ds. C b. Find a parameterization of C in the direction from P to 0. Evaluate If ds. C c. Compare the results of (a) and (b). E} a. For the path from O to P If ds = D. C (Type an exact answer, using radicals as needed.) Given the following vector field and oriented curve C, evaluate IF - Tds. C F = (x,y) on the parabola r(t) = (12t,5t2> , for 0 s t 51 E} The value of the line integral of F over C is E. (Type an exact answer. using radicals as needed.)
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