Please answer all parts with an explanation of how to do it. Thanks

The complex function f:CC is given by f(z)=(10z5i)z2, where z is the conjugate of z. (a) If z=x+iy where x and y are real numbers, express f(z) in the form u+iv, where u and v are real. You must give your answers as real expressions in the variables x,y, using correct Maple syntax, for example, (2+3x)(4y5)+6xy/7 Answer: u= A and v= (b) Write down the equations that must be satisfied for f(z) to be differentiable at x+iy. Do not solve your equations at this stage, or simplify them in any way - you will do this in part (c). You must give your answer as a list of one or more equations in the variables x and y, separated by commas and enclosed in square brackets, for example, [x=5y,y=67x2]. As in this example, each equation must contain an equals sign =, not :=. Answer: the following equations must be satisfied in order that f(z) be differentiable at x+iy : (c) Find all points at which f(z) is differentiable, giving your answer as a list of one or more complex numbers, and enter your list in the box below. You must give exact answers in correct Maple notation, using a capital I for the complex number i. You may use fractions but not decimals, for example, [4, 5+6I,(7/8)9I]. The order of the numbers in your list is not important. Answer: f(z) is differentiable at the points (d) Where is f(z) holomorphic? You must select one option only. f(z) is holomorphic at all of the points in your answer to part (c) f(z) is holomorphic everywhere f(z) is holomorphic whenever z is not one of the points in your answer to part (c) f(z) is holomorphic nowhere f(z) is holomorphic at one of the points in your answer to part (c) f(z) is holomorphic in a small disc centred at each point in your answer to part (c) (e) Where is f(z) continuous? You must select one option only. f(z) is continuous only when 10z5i=0 f(z) is continuous everywhere f(z) is continuous nowhere f(z) is continuous only when 10z5i=0 f(z) is continuous only at points where it is holomorphic f(z) is continuous only at points where it is differentiable The complex function f:CC is given by f(z)=(10z5i)z2, where z is the conjugate of z. (a) If z=x+iy where x and y are real numbers, express f(z) in the form u+iv, where u and v are real. You must give your answers as real expressions in the variables x,y, using correct Maple syntax, for example, (2+3x)(4y5)+6xy/7 Answer: u= A and v= (b) Write down the equations that must be satisfied for f(z) to be differentiable at x+iy. Do not solve your equations at this stage, or simplify them in any way - you will do this in part (c). You must give your answer as a list of one or more equations in the variables x and y, separated by commas and enclosed in square brackets, for example, [x=5y,y=67x2]. As in this example, each equation must contain an equals sign =, not :=. Answer: the following equations must be satisfied in order that f(z) be differentiable at x+iy : (c) Find all points at which f(z) is differentiable, giving your answer as a list of one or more complex numbers, and enter your list in the box below. You must give exact answers in correct Maple notation, using a capital I for the complex number i. You may use fractions but not decimals, for example, [4, 5+6I,(7/8)9I]. The order of the numbers in your list is not important. Answer: f(z) is differentiable at the points (d) Where is f(z) holomorphic? You must select one option only. f(z) is holomorphic at all of the points in your answer to part (c) f(z) is holomorphic everywhere f(z) is holomorphic whenever z is not one of the points in your answer to part (c) f(z) is holomorphic nowhere f(z) is holomorphic at one of the points in your answer to part (c) f(z) is holomorphic in a small disc centred at each point in your answer to part (c) (e) Where is f(z) continuous? You must select one option only. f(z) is continuous only when 10z5i=0 f(z) is continuous everywhere f(z) is continuous nowhere f(z) is continuous only when 10z5i=0 f(z) is continuous only at points where it is holomorphic f(z) is continuous only at points where it is differentiable