3. [-/2 Points] DETAILS LARCALCET7 15.2.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following. C: line segment from (0, 0) to (4, 8) (a) Find a parametrization of the path C. r (t ) = Ost s 4 (b) Evaluate ( x2 + y2) ds. Need Help? Read It 4. [-/2 Points] DETAILS LARCALCET7 15.2.012. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following. C: counterclockwise around the circle x2 + y2 = 9 from (3, 0) to (-3, 0) (a) Find a parametrization of the path C. r (t ) = Ost s n (b) Evaluate / ( x2 + y2) ds. Need Help? Read It 5. [-/1 Points] DETAILS LARCALCET7 15.2.021. MY NOTES ASK YOUR TEACHER 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 + 9k Osts_ 8 Need Help? Read It Watch It 6. [-/1 Points] DETAILS LARCALCET7 15.2.024. MY NOTES ASK YOUR TEACHER 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) = 2cos(t)i + 2sin(t)j + 3tk p ( x, y, z ) = z1. [-/1 Points] DETAILS LARCALCET7 15.2.003. MY NOTES ASK YOUR TEACHER Find a piecewise smooth parametrization of the path C. (ti + tj Osts1 r(t) = 1sts2 y= Vx (1, 1) 1 y= x X Need Help? Read It7. [-/1 Points] DETAILS LARCALCET7 15.2.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate F . dr. F(x, y) = xi + yj C: r(t ) = (7t + 3)i+ tj, osts 1 Need Help? Read It Watch It 8. [-/1 Points] DETAILS LARCALCET7 15.2.037.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the work done by the force field F on a particle moving along the given path. F(x, y) = xi + 8yj C: x = t, y = t> from (0, 0) to (4, 64) 70 60 50 40 30 20 10 2 8 10 Need Help? Read It Watch It Master It 9. [-/1 Points] DETAILS LARCALCET7 15.2.056. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 s t s 1. ( y - x ) dx + 5x 2 42 dy Need Help? Read It 10. [-/1 Points] DETAILS LARCALCET7 15.2.057. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate ( 2 x - y ) dx + ( * + 5 y ) dy . C: x-axis from x = 0 to x = 311. [-/4 Points] DETAILS LARCALCET7 15.2.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following. C: counterclockwise around the triangle with vertices (0, 0), (1, 0), and (0, 1), starting at (0, 0) (a) Find a piecewise smooth parametrization of the path C. Osts1 r(t) = ists2 2sts 3 (b) Evaluate le ( x + 5vy ) ds. Need Help? Read It Watch It