Writing the 2nd complex root of the complex number =- 2/2i in the form a + bi, the value of a is zi and of b is

Q: Write the complex conjugate of the complex number. 3 + 5i

A: Write the complex conjugate of the complex number. 3 + 5i

Q: Find all the complex numbers x that satisfy the equation x5 - ix4 + 5x3-5ix2 + 6x - 6i = 0. Then…

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Q: Write the complex number in polar form 6 + 6V3i

A: General form of a complex number is,                 x + iy  Polar form of complex…

Q: he complex number i 21

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Q: Find the sum and product of the complex numbers 2-3i and -2+7i. The sum is. (Type your answer in the…

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Q: 3) Find the solution in the field of the complex numbers to the linear equation. Put your solution…

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Q: Plot the complex number and find its absolute value. AImaginary 9 i Q Plot the complex number on the…

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Q: Solve the equation in the complex number system. Check your results using a graphing utility. x2 - x…

A: Given: x2-x+1=0  ……1

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: What is the imaginary component of the complex number (7 - 2i)

A: z= 7- 2i

Q: Subtract the complex numbers. Express your answer in the form (a + bi). (3 + 4i) – (6 - 7i)

A: According to the question, we have to subtract the complex number 3+4i-6-7i and express the number…

Q: Simplify the complex number z=j(-1+j). Then, find the modulus of the complex number z and the…

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Q: -3 + i

A: -3+i = (-3,1)

Q: Determine real part, imaginary part and absolute value of the following complex numbers: b) 3e…

A: Determine real part, imaginary part and absolute value of the following complex numbers: b) 3e…

Q: 2 – i Find the conjugate of the complex number in the form of a + bi. 1– 2i

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Q: Q3: Write the complex number in the rectangular form: i^3 e^(Tt/6 i) *

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Q: Plot the complex number on the complex plane and write it in polar form and in exponential form.…

A: First we have to calculate r and theta to convert the complex no in polar and exponential form

Q: Write the combination of complex numbers in the form a + b*i. (-1 + 4i) + (4 + 3i) = (9 - 4 i) -…

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Q: Solve the equation in the complex number system. Check your results using a graphing utility. 8x2 -…

A: Given equation, 8x2-4x+1=0

Q: (A) Simplify the complex number z and express it both in rectangular and polar form. (3 + j6)(6+ j4)…

A: It can be calculated as given below:_

Q: Solve the equation in the complex number system. Check your results using a graphing utility. x2 + 4…

A: Given equation  -x2+4 = 0x2 =-4x = ±-4x = ±-14x = ±-14x = ±i2…

Q: Applying De Moivre 's theorem in writing the complex number (-1-i)* in the form a + bi, the value of…

A: Given. We need to simply the complex number (-1-i)⁸ usi de moivres theoram. De moivers theoram…

Q: Writing the 4th complex root of the complex number z*=i in the form a+ bi, the value of a is and of…

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Q: Write the complex number in polar form. a. z = -2 + 2i b. z = 8 - 15i

A: z=-2+2i z=8-15i

Q: -1 +3i vhat is the real part of the complex number: 7 = 2 A) -1/2 B c) -1 D2V3 2.

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Q: 5. i(1 – iv3)(V3+i)

A: Consider i1-i33+i = i1-i33+i= i13+1i+-i33+-i3i= i3+i-3i-3i2= i3+i-3i+3= i23-2i= 23i-2ii= 23i-2i2=…

Q: Writing the 2nd complex root of the complex number 25= - 2/2i in the form a+ bi, the value of a is…

A: According to the De Moivre's Formula, all nthroots of a complex number  r(cos(θ)+isin(θ)) are given…

Q: Write complex number in trigonomoetric form.

A: Given complex number z - z = -4-3iOn comparing with general equation of complex number,z = a+bi,a =…

Q: Q3: Write the complex number in the rectangular form: i^3 e^(Tt/6 i) * Q3: Write the complex number…

A: Given that: i3eπi6

Q: (A) Simplify the complex number z and express it both in rectangular and polar form. (3+ j6)(6+ j4)…

A: Given that z=3+j66+j42+j1j2+7+j10 express it In rectangular form and polar form

Q: Write the standard form of the complex number. 5t + i sin Plot the complex number. Imaginary…

A: Please refer the attached image for complete solution.

Q: -1 - V3i

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Q: Find the sum of the complex numbers in the complex plane. (4 + i) + (2 + 61)

A: Explanation and solutions is given below....

Q: The complex number a is given by a =-2 + 5i. i) Write down the complex conjugate a*. a +a* ii) Find…

A: α =-2+5i complex conjugate =-2-5i

Q: Writing the 2nd complex root of the complex number z=- 2/2i in the form a+ bi, the value of a is 0…

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Q: 4i Rewrite the complex number 10e“ in a + bi form a b = II

A: We have to write the complex number 10e4i in a + bi form.

Q: the real and imaginary parts of the complex number.  (8+5i)/2

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Q: Find all the complex roots. Leave your answer in polar form with the argument in degrees. The…

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Q: Write the combination of complex numbers in the form a + b*i. (-1 + 3i) + (4 + 4i) = (9 - 4 i) - (4…

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Q: (A) Simplify the complex number z and express it both in rectangular and polar form. (3+ j6)(6+ j4)…

A: To express: The complex number in rectangular and polar form. Given: The complex number is…

Q: Fill in the blank/s: The value √(a2 + b2) is the __________ of the complex number a + bi.

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Q: Rewrite the complex number 3e1.5 in a + bi form

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Q: Multiply the complex numbers and simplify the result. (Express your answer in the form (a + bi).) (2…

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Q: The complex fifth roots of -1 - i.Find all the complex roots. Write roots in rectangular form.

A: Given: The complex number -1-i To find: All the complex fifth roots of given complex number.

Q: Q(1): Derive formula for the product and division of two complex number.

A: Our objective is to derive formula for product and division of two complex numbers...

Q: Solve the equation in the complex number system. Check your results using a graphing utility. x2 +…

A: Given: x2+4x+8 =0

Q: Consider the complex number z = -8 + 8i√3.  Find the fourth roots of z in complex form

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Q: Check which of the complex no. is closer to the origin.. Z1 = 1 + 2i , Z2 = 3 – 4i

A: The general form of a complex number is given by a+ib, where a, b are two real numbers and i=-1. The…

Q: Plot the complex number. Then write the complex number in polar form. Express the argument in…

A: Given complex number is -9-9i