Find the maximum rate of change of f(x, y)=ln(x2+y2) at the point (-2, 2) and the direction in which it occurs.

Step-by-step explanation:

Maximum rate of change of a function f(x,y) is expressed as the gradient of such function at the given point. Gradient of a function is expressed as;

∇f(x,y) =

Given f(x,y)=ln(x²+y²) at the point (-2, 2)

Hence the maximum rate of range of the function at the point (-2,2) is

To get the direction, we willl use the formula;

From the vector gotten, x = -1/2 and y = 1/2

Since tan theta is negative in the second quadrant, the direction in which it occurs will be 180-45 = 135°

c.35

step-by-step explanation:

8+13=21

21+8=29

29+6=35

total of apples - take away four

6-4 = 2

answer is 2 apples