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Problem List Next Problem Section 13.7: Problem 2 (1 point) Let S be the part of the plane 2x + 2y + z = 2 which lies in the first octant, oriented upward. Find the flux of the vector field F = li + 3j + 2k across the surface S. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.

Section 13.7: Problem 1 (1 point) Evaluate y2 ds where S is the helicoid: r(u, v) = u cos(u)i + u sin(v)j + vk, with 0 <u<2,0 <0 < 31 S[V1+22 + s = 4

Section 11.6: Problem 2 (1 point) Consider the function f(x, y, z) = xy + yz2 + x23. Find the gradient of f: 000 Find the gradient of f at the point (-5, -1,5). 000 Find the rate of change of the function f at the point (-5,-1,5) in the direction (3/V19,-3/ 19, -1/719) u=

Section 11.6: Problem 1 (1 point) Find the directional derivative of f(x, y) = x²y3 + 2x^y at the point (-4,3) in the direction = 7/3. The gradient of f is: Vf(x, y) = (2x 3y exy vf(-4,3) = The directional derivative is: