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: Let a = 1+bi be a complex number, b>0, such that a is a real number. Evaluate 1+a+a² + . + a". ....

A: Given a complex number : a=1+bi where b>0 It is given that  a3 is a real number. We need to find…

Q: If a complex number z satisfies z = z-1, what can be said about the number? Are con Nay/ Say that…

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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: a) z5 = -32 b) z² + (i – 2)z + (3 – i) = 0 %3D ||

A: We have to find roots of given equation by De Moivre's formula.

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: In(2) The complex number e is equivalent to a) ji b) (1+j} c) 1+ j d) 1- j

A: According to the problem, we have

Q: a) Calculate these complex numbers and express the results in rectangular form. 322-20° +…

A: Calculate the complex number and express the results in rectangular form .

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: 1. The complex numbers s and t ar as follows: s = 3+i, t= 2 – 3i Calculate the following. a) st +5…

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Q: 1. Solve the following equations. a) (7+2/)+(4-3) b) (5-2/ (2-)(4+2) d) 2- 1+2 e) 21-3 2. Find x in…

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Q: Determine real part, imaginary part and absolute value of the following complex numbers: a) z = b) z…

A: First we see some definition and formula1 we know a complex number can be written as Z=a+ib. We…

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: 8. a) Find in the form a + bi, where a and b are real, the values of Z for which 3 ii) Z 1 i) /zl=3…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: A) Calculate and write in cartesian form 1) (2+i)(1-2i)  2) 3+i / 4-3i

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. Identify the conjugate of each complex number, then plot both complex numbers and their…

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Q: 3.) z ²-7-24i ANSWER: 3-4,-3t 4i

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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: i) Find real and imaginary part of complex number (V3 + i)° by using De Moivre's Theorem.

A: Consider the complex number: 3+i3 Comparing the complex number 3+i with standard form of complex…

Q: The complex number z is defined by z = 3 -z+4·j where z is real. a) Find, in terms of z, the real…

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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

Q: 32. Evaluate (2i)' and express the result in rectangular form of complex number. A) 0.350 + 0.187i…

A: Given that (2i)i We need to express the given complex number of the form of x + iy

Q: A complex coordinate plane is shown below with dots on the UNIT CIRCLE representing complex numbers…

A: From the given complex coordinate plane, we have to find the values of K2, A3, I4.