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4. [-I16.66 Points] DETAILS MY NOTES PRACTICE ANOTHER Evaluate the line integral / F . dr, where C is given by the vector function r(t).

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4. [-I16.66 Points] DETAILS MY NOTES PRACTICE ANOTHER Evaluate the line integral / F . dr, where C is given by the vector function r(t). c F(x,y,z)=xi+yj+xyk, r(t) = sin(l:) I + cos(t)j + tk, 0 5 ts u 5. [-I16.66 Points] DETAILS MY NOTES PRACTICE ANOTHER Evaluate the line integral, where C is the given curve. / (x + 3y) dx + X2 dy, C consists of line segments from (0, 0) to (8, 1) and from (8, 1) to (9, 0) C Need Help? Submit Answer ' -I16.7 Points] DETAILS MY NOTES PRACTICE ANOTHER The force exerted by an electric charge at the origin on a charged particle at a point (x, y, z) with position vector r = (X, y, z) is F(r) = Kr/| |r| |3 where K is a constant. Find the work done as the 6. particle moves along a straight line from (2, 0, 0) to (2, 2, 4)

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