solve the answers handwritten but please type all the final answers together in the different section after solving. Thanks.

1. [-!1 Points] DETAILS SCALCET916.2.003.MI. Evaluate the line integral, where C is the given plane curve. f xy2 d5, C is the right half of the circle x2 + y2 = 4 oriented counterclockwise C Need Help? 2. [-11 Points] DETAILS SCALCET916.2.005.EP. Consider the following line integral over the given plane curve. f (X4y + sin[x)) dy, C is the an: of the parabola y = )(2 from (0, 0) to (Ti, 7152) C Use x as the parameter to write parametric equations for C where 0 g x E a": starting at the point [0, 0). Use x as a parameter of C to write an equivalent integral in only the variable X. f (x41; + sin(x}}d1.rr = fr )dx C 0 Evaluate the line integral. Need Help? Submit Arwer ' 3. [-/1 Points] DETAILS SCALCET9 16.2.007. Evaluate the line integral, where C is the given curve. ( x + 4y) dx + x2 dy (4, 1) X 0 (5, 0) Need Help? Read It Watch It4. [-11 Points] DETAILS SCALCETQ 16.2.011 .EP. Consider the following line integral, where C is the given space curve. lime"z ds, C is the line segment From [0, l), 0] to (2, 3, 4) C Use 1' as the parameter to write parametric equations For there 0 i t S 1 starting at the point (0, D, 0). x: Use 1' as a parameter etc to write an equivalent integral in only the variable t. revert )6: Evaluate the line integral. Need Help? 5. [-11 Points] DETAILS SCALCET9 16.2.012. Evaluate the line integral, where C is the given space curve. /{x2 + y2 + 22} d5, C: x = f, y = cos[8f}, z = sin(8t), 0 S t S 2:": C Need Help? 6. [-11 Points] DETAILS SCALCETQ 16.2.016. Evaluate the line integral, where C is the given space curve. [de-l-zdy-l-xdz, C:X=, y=t, z=t2, lifi 15 C Need Help? 7. [-/1 Points] DETAILS SCALCET9 16.2.020. The figure below shows a vector field F and two curves C, and C2- A Is the line integral of F over C, positive, negative, or zero? Explain. Since most of the vectors starting on C, point roughly in the same direction as C, the line integral of F over C, is negative. O Since most of the vectors starting on C, point roughly in the opposite direction as C, the line integral of F over C, is negative. O Since most of the vectors starting on C, point roughly in the same direction as C, the line integral of F over C, is positive. O Since most of the vectors starting on C, point roughly in the opposite direction as C, the line integral of F over C, is positive. O Since about half of the vectors starting on C, point roughly in the same direction as C, and about half of the vectors starting on C, point roughly in the opposite direction as C, the line integral of F over C, is zero. Is the line integral of F over C, positive, negative, or zero? Explain. O Since most of the vectors starting on C, point roughly in the same direction as C, the line integral of F over C, is negative. O Since most of the vectors starting on Cz point roughly in the opposite direction as Cy the line integral of F over C, is negative. Since most of the vectors starting on C, point roughly in the same direction as C, the line integral of F over C, is positive. O Since most of the vectors starting on C, point roughly in the opposite direction as C, the line integral of F over C, is positive. O Since about half of the vectors starting on C, point roughly in the same direction as C, and about half of the vectors starting on C, point roughly in the opposite direction as C, the line integral of F over C, is zero. Need Help? Read It Submit Answer8. [-/1 Points] DETAILS SCALCET9 16.2.023.EP. Consider the line integral F . dr, where C is given by the vector function r(t). F(x, y, z) = sin(x) i + cos(y) j + xzk r(t ) = +5i - #j+th, ost=1 Find the following functions. F(r(t)) = r'(t) = F(r(t) ) . r'(t) = Evaluate the line integral. Need Help? Read It Submit Answer9. [-/1 Points] DETAILS SCALCET9 16.2.031. Consider the following functions. MY NOTES ASK YOUR TEACHER PRACTICE F(x, y) = ex - li + xyj r (t ) = thi + +5j (a) Evaluate the line integral / F . dr, where C is given by r(t), 0 S t s 1. (b) Illustrate part (a) by graphing C and the vectors from the vector field corresponding to t = 0, -, and 1. 2.0 2.0- 2.0 2.0 1.5 1.5 1.5 1.5 1.0 1.0 1.0 1.0 0.5 0.5 0.5 0.5 X O 0.5 1.0 1.5 2.0 0.5 . X 1.0 1.5 2.0 0.5 X 1.0 1.5 2.0 AO 0.5 X 1.0 1.5 2.0 A Need Help? Read It Watch It10. [-/1 Points] DETAILS SCALCET9 16.2.035. A thin wire is bent into the shape of a semicircle x + y