1.

Find Vz. gxe by 2 = x + 3y NOTE: Give your answer in unit vector notation; that is, in terms of i and j. Vz =Find a unit vector in the direction in which f(x, y) = 9x y increases most rapidly at P(-1, 1), and find the rate of change of f at P in that direction. NOTE: Enter the exact answers. 1 = = (I'I-)fAllFind Vw. w = 210 - 24 + 213 NOTE: Give your answer in unit vector notation; that is, in terms of i, j, and k. Vw =Find the gradient of f at the indicated point. TT f (x, y) = 4 sin x2 + cos 3y; 2 NOTE: Give your answer in unit vector notation; that is, in terms of i and j. TT C = 2Given that the directional derivative of f at the point (3, -5, 6) in the direction of a = 71 - 4j - 4k is - 4 and that |Vf (3, -5, 6) || =4, find Vf (3, -5, 6). Vf(3, -5, 6) =Find a unit vector in the direction in which f(x, y, z) = 42 2" + 4y' z + 4z - 2 increases most rapidly at P(1, 1, -1), and find the rate of change of f at P in that direction. NOTE: Enter the exact answers. u = IIV f (1, 1, -1) || =Find Vw. w = 210 - 24 + 213 NOTE: Give your answer in unit vector notation; that is, in terms of i, j, and k. Vw =