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3. Judge the differentiability and analyticity of following functions. (1) f ( z ) = xy tixy; (2) f (2) = x2 + iy'; (3) f(2) = z.z 4. f(z)=my'+nx y+i(x'+lxy?) is analytic at Z plane, calculate the value of m, n, 1, together with f' (z). 2-ni x-iy 5. Calculate the following formula. (1) e 3 (2) Refer+yz (3) lei-2(xtiy) | (4) In(3-31) (5) Ln(e') (6) Ln(ie) (7) (1+1)" (-3) 15 (8) cos (7 + 51) sin (1-51) 6. Solve the following equations. (1) sinz=2. (2) ex -1- V3i =0 In z = ~ i (3) (4) z - In (1 + i) = 0