1 )2 + ơ-2)2] is harmonic in every region which does not include the point (1,2). (a) Prove that ψ = Inf(x- (b) Find a function ф such that ф + ir is analytic. (c) Express ф+ 3.54. as a function of z.

Differentiate which of the equations are identities, if they have one solution, or no solution.   2x + 5x – 4 = 7x – 4 8x – 3 – 4x = 2x + 2x – 2 – 1 4y – 3y = 3y + 2 12s + 6 – 3s = 6s + 3s + 6 9y + 4 = 6y – 4 + 3y

16. Perform the following complex operations. Write your answers in the form a + bi. (a) (3-i) + (−1+7i) (b) i - (5-3i) (c) (2+3i)(4+ 4i) (d) i(3 - 2i) (c) (1 + i)(2-3i) (f) (g) i 1+ 3i