Express the function f(z) = sin(=) in the form f(z) = U (x, y) + V (x, y)i. %3D

Find the domain and the derivative of the function f (x) = In(x + Vx² -4). Enter DNE in any empty blanks. The domain of f is: O (-00, 0) O (-00, a) O (-00, a] O (a, co) O [a, co) O (-00, a) U (b, c∞) O (-00, a] U [b, 0) O (-00, a) U (b, c) O (-00, a] u [b, c) O (-0, a) u (b, c] O (-00, a] u [b, c] O (a, b) O (a, b] O [a, b) O [a, b] O None of the Above. a = b = C = f'(x) =

If f(2) = sin(z?) = U(x, y) + iV (x, y), determine U and V. Verify that the C-R