calculs 3

Note: please write down the Answer by hand on paper and also write each answer with the number of the questions

22. [-/2 Points] DETAILS SCALCET9 16.3.022. Consider F and C below. F (x, y, z) = (y2z + 2xz2) i + 2xyzj + (xx2 + 2x22)k, C: x = Vt, y = t+ 3, z = +2, Osts1 (a) Find a function f such that F = Vf. F ( x , y , Z ) = (b) Use part (a) to evaluate F . dr along the given curve C. 23. [-/2 Points] DETAILS SCALCET9 16.4.003. Consider the following line integral. xy dx + x2y3 dy, C is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4) (a) Evaluate the given line integral directly. (b) Evaluate the given line integral by using Green's theorem