2. (i) (2 marks) Find all values of: 25 +32 = 0 and show the roots graphically. (ii) (2 marks) Let w = f(x) = 12. Find the derivative of this function by using definition. (iii) (1 mark) Modulus of e* =? (iv) (2 marks) Show that f(2)= = 2² +1 2² - 32+2 is continuous for all z outside |z| = 2

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2. (i) (2 marks) Find all values of :

z^{5} + 32 = 0

and show the roots graphically. (ii) (2 marks) Let

w = f (z) = \frac{1 + z}{1 - z}

. Find the derivative of this function by using definition. (iii) (1 mark) Modulus of

e^{z} =

? (iv) (2 marks) Show that

f (z) = \frac{z ^{2} + 1}{z ^{2} - 3 z + 2}

is continuous for all

z

outside

∣ z ∣ = 2

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Expert Answer to - 2. (i) (2 marks) Find all values of: 25 +32 = 0 and show the roots graphically. (ii) (2 marks) Let w

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Solution for - 2. (i) (2 marks) Find all values of: 25 +32 = 0 and show the roots graphically. (ii) (2 marks) Let w

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