1) Find the real and imaginary parts of the given complex numbers, sketch the position of each number in the complex plane and connect each point to the neighbouring one. a) z= 2i c) :=- -i e) z=-1+i g) 2 =-i i) 2=1+i b) 2=-1-i d) 2= -2i f) 2= -+i h) 2=1-i j) 2-T+i

Q: Find an exponential generating function for the number of permutations with repetition of length n…

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Q: properly labeled Argand diagram w, w, -w, -w, iw, i²w, i³w, i'w and z-2. b) Describe in words the…

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Q: 2) Consider complex numbers z₁ = 4-3i and z₂ = −6+4i and compute a. Z₁ Z₂ b. 21 Zz C. Z1

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Q: Pick two complex numbers (like a + bi and c + di) and consider if the following statement is True or…

A: Set of pure imaginary numbers

Q: 8. Consider the complex number z = 2 + i and w = 7 – 2i. Write down the real and imaginary parts of…

A: Given : The complex numbers z = 2 + i  and w  = 7 - 2i.   To write the real and imaginary parts of…

Q: Plot and label each complex number in the complex plane. 1) z = -5i 2) z = -2+i 3) z = 3- i

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Q: plot complex logs on the complex plane

A: We have to explain how can we plot complex logs on the complex plane. Then plot the given complex…

Q: Find all the roots of the given complex numbers a) z5 = -32 b) z² + (i – 2)z + (3 – i) = 0

A: To find - Find all the roots of the given complex numbers z5 = -32 z2 + i - 2z + 3 - i = 0

Q: Apply the parallelogram law to get the sum and difference of the following complex numbers. For…

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Q: complex form and COS U+ i sin o) be the polar form Idition and subtraction between two complex…

A: Topic:- complex number algebra