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

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

A: Given that two complex number one is 2-3i and seccond is -2+7i

Q: The complex number u = a + bi is an ________ ________ of the complex number z when z = un = (a +…

A: Consider "The complex number u = a + bi is an ________ ________ of the complex number z when z = un=…

Q: Represent the complex number geometrically.2i(2 + 3i)

A: given 2i(2+3i) =4i-6=-6+4i It is represented in a complex plane. where x-axis represents real value…

Q: Find the sum and product of the complex numbers 1-4 i and - 1+6i. The sum is (Type your answer in…

A: Find the sum and product of two complex numbers

Q: diven the complex number 음 cos 등 + isin. isin. A. Write the exact standard form of the complex…

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Q: he complex number i 21

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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: 1. Write the complex number i+ 2 in the form of reio

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Q: Two complex numbers z1 and z2 are given by z1 = 3 + 2i and z2 = − 1 − 4i. Evaluate, (a) |z1z2| (b)…

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

A: In this question we need to find a product and sum of given two complex numbers

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: (b) Find the conjugate, argument and modulus of the complex number Z =1+i3

A: Recall: If z= x+iy , then (i) Modulus of z , z=x2+y2(ii)Conjugate of z is z¯ =x-iy(iii) Argument =…

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

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

Q: (b) Give an example of a complex number z, other than ±1 or ±i, such that |2| = 1.

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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: ransform the complex number into its rectangular and exponential fo

A: the given complex number is 2+i which is already in rectangular form, so converting it polar and…

Q: e the complex number 8e" in a + bi form X error - invalid form

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Q: (a) Find all the complex roots of (7+6i)/3

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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: 1. Write the complex number i+2 in the form of reio

A: The complex number z can be written in the form of . The value of r can be obtained from the formula…

Q: Present complex number z in algebraic form =* + 23D 35 1-3i

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Q: 1. Write the complex number i+2 in the form of rei® .

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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: Express the complex number z = :-1+i/3 in the form z = re and then find z.

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Q: 1. Plot the complex number on the complex plane and write it in polar form and in exponential form.…

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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: Find the product of the complex number z = 3 + 4i and its conjugate z*.

A: The complex number is given as z=3+4i

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

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

Q: 2. Write the complex number 3+5i 5-3i in the form a + bi.

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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: Find the distance between the pair of complex numbers. (7 - 2i) and (5 + 8i) O4/26 V194 O2/2 2/26

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

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Q: Find the graph of the complex number z = -3 + 4i in the complex plane Imaginary Real A Imaginary…

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Q: The complex number z is given by Z = z²+1 a²-b² 2z a² + b² a+bi a-bi show clearly that

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Q: 2. Write the complex number 3 + 5i 5 - 3i in the form a + bi.

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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: (c) Let z be a complex number such that z, z³ and z5 form an equilateral triangle on the complex…

A: Let z be a complex number such that z, z3, z5 form an equilateral triangle on the complex plane.We…

Q: 1. Write the complex number i +2 in the form of rele

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Q: Write the complex number in polar form with argument 0 between 0 and 2n. -1 + i Submit Answer

A: Given complex number -1 + i

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

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Q: Three complex numbers are related as follows: AB = 4 + j3 BC = 2- j5 CA = 3 + j6 Find the value of…

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