(a ) What IS the rate of change of x y) 5:113; | 92 at the point (5 3) 111 the directlon 11 61 j? NOTE: Enter an exact answer or round to three decimal places. M51 3) = 9.699 (b) Find a unit vector 11' in the direction of maximum rate of change Off at (5, 3). NOTE: Enter the exact answer or round components to three dectmal ptaces. : 151+31j The directional derivative of z = f(x, y) at (4, 4) in the direction toward the point ('1 'l , 3) is m and the directional derivative in the direction toward the point (0, 7) is l. a a z and i at (4,4). 6x 6y '32 - (3): 62 E 3y Compute If f(x, y, z) = x2 + 3xy + 2z, find the directional derivative at the point (2, 0, -1) in the direction of 2 i + j - 2k. O (a) 5/3 O (b) 10/3 O (c) 5 O (c) 10\fFind the gradient of z = (2x + 1ly)ey. Assume the variables are restricted to the domain on which the function is defined. Vz =