Question: 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

calculs 3

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

and also write each answer with the number of the questions 22.

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

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