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Name: 1. Compute Jax dy + y dx where Cis r(t) = (2t, 3t) Ost$1 2. Compute Curl of F (x,y,z) = (yex, ex+1, ez) 3. Evaluate Using Fundamental Theorem of Calculus of Line Integral. (1,1,1) x dy + ydx + z dz (0,0,0) 4. Evaluate using Green's Theorem. fy2 dx + x2 dy where C is half upper unit circle. 5. Using Green's Theorem, find the area enclosed by: r(t) = (cos2 (t) , cos(t) sin(t)) 6. Calculate the Area of Surface S defined by: r(u, v) = (u cos(v) , usin(v), u2) O S us 1,0