6. [-/4 Points] DETAILS LARCALC11 15.2.021. MY NOTES PRACTICE ANOTHER Evaluate the line integral along the given path. ( + 2 + 4 2 + 2 2) ds C: r(t) = sin(t)i + cos(t)j + 3k Osts- Need Help? Read It Watch It 7. [-/4 Points] DETAILS LARCALC11 15.2.024. MY NOTES PRACTICE ANOTHER Find the total mass of two turns of a spring with density p in the shape of the circular helix below. r(t) = 6cos(t)i + 6sin(t)j + 7th P(X, y, z) = z Need Help? Read It Submit Answer 8. [-/4 Points] DETAILS LARCALC11 15.2.032.MI. MY NOTES PRACTICE ANOTHER Evaluate F . de. F(x, y) = 9xi + 4yj Ci r(t ) = ti + v4 - tzj, -2sts 2 Need Help? Read it Master It 9. [-/4 Points] DETAILS LARCALC11 15.2.034. MY NOTES PRACTICE ANOTHER Evaluate F . dr F ( x, y. z) = x2i + x2j + 22k C: r(t) = 2 sin(t)i + 2 cos(t)j + 2tak, osts n Need Help? Read It 10. [-/4 Points] DETAILS LARCALC11 15.2.037.MI. MY NOTES PRACTICE ANOTHER Find the work done by the force field F on a particle moving along the given path. F(x, y) = xi + 6yi Ci x = t, y = ts from (0, 0) to (2, 8) 10 8 10 Need Help? Read It Watch it Master It 11. [-/4 Points] DETAILS LARCALC11 15.2.038. MY NOTES Find the work done by the force field F on a particle moving along the given path. F(x, y) = x2i - xyj : x = cos t, y = sint from (1, 0) to (0, 1) Need Help? Read It 12. [-/4 Points] DETAILS LARCALC11 15.2.072. MY NOTES PRACTICE ANOTHER Find the area of the lateral surface (see figure) over the curve C in the xy-plane and under the surface z = (x, y), where Lateral surface area = (f(x, y) ds F(x, y) = x2 - y2 + 25 C:x2 + y2 = 25 Surface: z -J(x, y) Lateral surface (x. V.) A C: Curve in xy-plane Need Help? Read It Watch It