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11. If 0 = 2xy2z + x2y, evaluate S. Odr where C (a) is the curve x = t, y = t?, z = t3
11. If 0 = 2xy2z + x2y, evaluate S. Odr where C (a) is the curve x = t, y = t?, z = t3 from t = 0 to t = 1. (b) Consists of the straight lines from (0.0.0) to (1,0,0) then to (1, 1,0) and then to (1, 1, 1 ). 12. If F = 2yi - zj + xk, evaluate J. F X dr along the curve x = cost, y = sint, z = 2cost from t = 0 to t = nt/2. 13. Evaluate A.n dS for each of the following cases. (a) A = yi + 2xj - z k and S is the surface of the plane 2x ty = 6 in the first octant cut off by the plane z= 4. (b) A = (x+y?)i - 2x j + 2yzk and S is the surface of the plane 2x+y + 2z = 6 in the first octant. 14. Evaluate JJ F . ndS over the entire surface S of the region bounded by the cylinder x2 + zz = 9, x = 0, y = 0, z = 0 andy = 8 if F = 6zi + (2xty)j - xk
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