3– 2i 3- [10 points] Divide the complex numbers 5+2i 16. (A) 29 16. -i 29 29 11 3 11 (D) 29 (В) -i - 4

Q: 1. Express the sum of (2 - 3i) and (6 + 4i) divided by the sum of (4 + i) and (-5- 2i) in a + bi…

A: 1)  To find the value of           {(2-3i)+(6+4i)} / {(4+i)+(-5-2i)}

Q: 2. Express the product of (3 - 2i) and (1 + 5i) divided by the product of (5 + 2i) and (-4 - i) in a…

A: Given expression is 3-2i 1+5i5+2i -4-i. Simplify the above expression as follows.

Q: 5. Subtract the two complex numbers: (3 + 6i) - (5i). What do you notice?

A: When we perform operations on complex numbers, we perform it independently. For example, A = (i + j)…

Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 6. (5, 4) 2 - Real…

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Q: 3 – 5i - Write as a complex number. In other 2+ 3i words, find real numbers a and b such that 3 – 5i…

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Q: Plot the complex number. 9 - i Imaginary Imaginary аxis аxis 10 10 5 5 Real Real -10 9 - i 10 axis…

A: Graph :

Q: Plot the complex number. 6/6 - i Imaginary Imaginary axis axis 20 20 10 10 Real Real - 20 --- 10 10…

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Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 • (3, 8) 6 (-1, 5) 4 2…

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Q: 3 lim Z→2 (Z-2)4 ∞

A: We have to find the limit.

Q: 7-i/-i divide complex number

A: Given : 7-ii

Q: iree complex Z1 = 1- 2i, z2 = 6i, z2 = -3 -i. Compute the following, with your answer expressed in…

A: given that z1=1-2i,z2=6i,z3=-3-i find a)z1+z2z3b)3z2*-4z1z1c)z1z2*-3iz3

Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 6 (-2, 3) 2 (4, 1) +…

A: According to the graph we can write the points as                                            A = 4 +…

Q: Plot the complex number and its complex conjugate. -8 - 9i Imaginary axis Imaginary axis Imaginary…

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Q: 1-18i Q2- The complex number z satisfies the equation 4Z – 3Z* = 2-i Then Z =

A: complex number

Q: 1. If z = 1+ iy is a complex number. Find the principal argument and exponential form of z =

A: Given that z=x+iy is a complex number. where, Real Part = x and Imaginary Part= y Now,  z=i1+i…

Q: Plot the complex numbers –4+i and 6–Ni in the complex plane. Imaginary Axis 8- 6-+ 5- Real Axis -8…

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Q: 2+5i 2-5

A: Given: gx=x2+3x-4x2-4x+29 The roots of the polynomial gx can be obtained as,…

Q: -jz

A:

Q: Plot the complex numbers 2i and -5+3i in the complex plane. Imaginary Axis 7- 6- 5- ? 4 3- 2- 1-…

A: We will plot the points.

Q: Let z be a complex number. Then sin (3z) -i is bounded in C . TRUE OR FALSE

A: It is an application of Linville's theorem

Q: Plot the complex number. 6V6 - i Imaginary Imaginary axis axis 20 20 10 10 Real Real - 20 - 10 10 20…

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Q: Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i 1.)26.2 2.)-1 3.)-26.2…

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Q: Plot the complex number. 6 - i Imaginary Imaginary axis axis 5 Real Rea -6 -4 -2 axis 4 6 ах 6 - i 6…

A: Since real part is positive and imaginary part is negative so point will lie in 4th coordinate. And…

Q: 8e2i 5e-0.7i Express the complex number p= to a rectangular form. Determine the quotient of in…

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Q: 20. Express (-3 - 8i) (-7 + 2i) + (7 - 3i) in simplest a + bi form

A:

Q: Plot the complex number and its complex conjugate. -8 - 9i Imaginary axis Imaginary axis 10 10 8 8 4…

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Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10- (3, 8) (-1, 5) • 4 Real…

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Q: Imaginary and Simplify: 1) (4 + 2i) + (-3 – 5i) 2) (-3 + 4i) – (5 + 2i) 3) (-8- 7i) – (5 – 4i) 4)…

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Q: Find a complex number z such that |sinz|>1

A: We have to find a complex number z such that |sin z|>1.

Q: 4Q Express 2= (1+2i)² 7-i in the form a + ib where a and b are real numbers.

A:

Q: 7-3i What is as a single complex number? What do you notice? 5-2i

A: To convert in single complex number

Q: %24 Express -64- V-49 as a complex number (in terms of i): V-64--49 = > Next Question SEP 30 MacBook…

A:

Q: 9. i) Express each of the complex numbers Z (2+3i)(1- 2i), Z2 = (3+ 5i)/2 - i in the form a + ib…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Plot the complex number. 6/6 - i Imaginary Imaginary axis axis 20 20 10 10 Real Rea – 20_ – 10 axis…

A: To plot and write the trigonometric form of the complex number

Q: What is the result of multiplication of complex numbers -√3+i and (cos+ i sin )? A B (cos+ i sin )…

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Q: 1-181 Q2- The complex number z satisfies the equation 42 - 32 2-1 Then Z =

A: Given that  The complex number z satisfies the equation 4z-3z'=(1-18i) /(2-i)

Q: Plot the complex number. 3 - V3i Imaginary Imaginary axis axis 4 2 3 - V3 2 Real Real -2 2 4 axis -4…

A: Here if you take Real axis as vertical axis and imaginary axis as horizontal axis then only option 4…

Q: Two complex numbers whose sum = 2 and their product = 4 What are the two numbers p 4:29 /

A: We have to find the complex number

Q: 1-18i Q2- The complex number zsatisfies the equation 4Z - 37 2-i Then Z = ......... .........

A:

Q: i Given two complex numbers zı = -6 – 3i and z2 = 4 – 7i. Express in the form of x + yi where x and…

A: We have to solve given problems:

Q: 9. Express (3 – 2i)² in a + bi form.

A:

Q: Plot the complex number. 1-V3i Imaginary Imaginary axis axis 4 4 2 2 1- V3 i Real Real -4 -2 4. axis…

A: A detailed solution is given below.

Q: Express the complex number z = 8 cis 300° in rectangular form a + bi. Select the correct answer…

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Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8. 6. (7, 5) 4 2 Real…

A: Add the real parts and imaginary parts seperately.

Q: How many roots does 11z2 + 2z – 13  = 0 have? a. One real and one complex               b.…

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Q: 7-3i 10. What is as a single complex number? What do you notice? 5-2i

A:

Q: Plot the complex number. 6 - 6/3i Imaginary Imaginary axis axis 20 15 15 6 – 6 V3 i 10 10 Real Real…

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