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0 Question 12 Not yet answered Marked out of 1.00 | Flag question A conservative vector field is given by F = (-2x +2)i+ (-z+1)j+
0 Question 12 Not yet answered Marked out of 1.00 | Flag question A conservative vector field is given by F = (-2x +2)i+ (-z+1)j+ (-y+2)k. Select two options that give a potential function for F. a Select one or more: O O U(x, y, z) = x2 - 2x - y(-z +1) - =(-y+2) O U(x, y, z) = x2 - 2x + 2yz - y - 2z O U(x, y, z) = (x -1) + (y -2) (2 -1) O U(x, y, z) = 2x+y+z-5 O U(x, y, z) = x2 - 2x + yz - y - 2z 0 Question 13 Not yet answered Marked out of 1.00 | Flag question Consider the vector field F = (x+y)i+ 2j + zk and the surface S defined as the surface of a cube with side length 3 centred at the origin. Use the divergence theorem to calculate the flux of F over the surface S, i.e. / F - ds. Enter this value in the box below (rounded to two decimal places if necessary)
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