(0,0). Show that the function f(z)= (x+ compute f'(z). +(y y i is analytic in any open set not containing

Find all points at which f(z) = (x)/(x2+y2) - i(y)/(x2+y2) is differentiable. At what points is f analytic? Explain.

In Exercises 13–-16, refer to Figure 14.

1) In this problem, let x = 2, the value Ax = dx, dy = f'(x)dx, and Ay = f(x + Ax)-f(x) to complete the table f(x)=√x 1.0000 0.5000 0.1000 0.0100 0.0010 2) dx= Ax dy Ay Ay - dy dy Ay 3) 4) f(x) = 5x √2x+3 Find the first derivative given that dy Find X by implicit differentiation. √√x+y+√√x = 4 dx -лr² h A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is flowing into the tank at the rate of 10 cubic feet per minute, find the rate of change of the depth of the water the instant it is 8 feet deep? 1 V