\fFind the maximum rate of change of the function f(r, y) = 2y's at the point (1,5). Round to 3 decimal places. TIP Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for InfinityFind the direction in which the maximum rate of change occurs for the function f(z, y) = 2rsin(ry) at the point (3,1). Give your answer as a unit vector rounded to 3 decimal places. Note: z, y are in radians.For the function f(x, y) = 4x - 3xy + 4y - 3x - y + 5, find a unit tangent vector to the level curve at the point ( - 3, 1) that has a positive r component. Round your numbers to 3 decimal places.For the function (r, y) = -3-1- y find a unit tangent vector to the 2 level curve at the point ( - 3, -2) that has a positive . component. Round to 3 decimal places