Writing the 2nd complex root of the complex number z=- 2/2i in the form a+ bi, the value of a is 0 and of b is -1.231

Q: Simplify the complex number (Z^3) * ?and find the Re(z) & Im(z)

A: From De Moivre's Theorem we have,  Let z=rcosθ +isinθis a complex number in polar form. If n is a…

Q: How do you find the inverse of a complex number? The number in question is: z = 4 + 3i

A: The inverse of a complex number z is 1/z.Given: z = 4+3iThe inverse is,

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: N=-7+1li %3D

A: Given complex number Z=-7+11i

Q: Give a specific example of a complex number z where Arg(z) ≠ −Arg(z). Write your answer in…

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Q: Q4a. Evaluate the complex number e2+3i In(2+i) 3+4i

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

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Q: Find all the complex roots. Write the answer in exponential form.  The complex cube roots of 11 +…

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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: (b) Given z is the conjugate of a complex number z such that z=6+8i Find the complex number z whose…

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Q: Find the cubic roots of the Complex number Z=-j and graph these roots in the complex Plane? Ans. Wo…

A: To find cube root of given complex number first convert into euler form then take cube root. Then…

Q: O Solve the eqution to Find the complex roots z. - Ofind the qubic roots of (-27 i) Hiw %3D Z=-し…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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: Find all the complex roots. Write the answer in exponential form. The complex fourth roots of - 4 i.

A: The given complex number -4i

Q: Find all the complex roots. Write the answer in exponential form.    The complex cube roots of 11…

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Q: Rewrite the complex number 10e5 in a + bi form. Give the exact answer.

A: Given : The complex number 10e4.5i.   To write the given complex number in a + bi form.

Q: 4) Write the complex number in polar-exponential form. -3.85 + 1.08j

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Q: Q.4.3 Find the square of the complex number 2-2i and write the answer in the form a + bi where a and…

A: Given: 2-2i To find: Square of 2-2i.

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 following as a complex number in the form a+bi x4-8x2-48=0

A: To write the following as a complex number in the form a+bi x4-8x2-48=0

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: Write the complex number z=(1-√3i)2015/(√2cis(7π/6))4028 in an exponential form.

A: cis(x) = cos(x)+isin(x)

Q: 3. a) If 2 - i is a root of x3 – 2x² – 3x + 10 = 0, find the other complex root. b) Calculate the…

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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: What is the algebraic form of the complex number 13 e 12+5i 5-12i 12-5i 5+12i

A: We will use the basic theory of complex numbers to answer this question.

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 cube root of 8i lying in the first quadrant of complex Select one: O a. į - V3 O b. i + V3…

A: We find the cube root of 8i lying in the first quadrant of complex

Q: Rewrite the complex number 8e.b in a + bi form. Round to two decimal places.

A: The given complex number 8e1.5 i

Q: and of b is Writing the complex number z=2 e6 in the form a+ ib, the value of a is

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Q: Determine u = cis(pi/16) v = cis(5pi/16) are two of the nth roots of some complex number z.what is…

A: Given: Determine u = cis(pi/16) v = cis(5pi/16) are two of the nth roots of some complex number…

Q: Simplify the complex number z = j(-1+ j) and plot the result on your Argand diagram. Then, find the…

A: Given :           z = j(-1 + j)        To simplify z and to plot the result on Argand diagram.…

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: Solve x2 + 25=0 over the set of complex numbers. A +5 B +25 15i +25i

A: x2 + 25 = 0we know i = -1

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: 4. Preform the following operations and express the answer as a complex numbers. а) (15 — 20) — (6 +…

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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: Math 7: The sum of two complex numbers, where the real numbers do not equal zero, results in a su of…

A: Given that: sum of two complex numbers = 34i

Q: Find all the complex roots. Write the answer in exponential form.  The complex cube roots of 12 +…

A: follow next step

Q: What is the standard form of this complex number? (1 + 2:) (1 + i) O A. + ž 3. O B. OC. + i O D. +号

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Q: Q5- Simplify the complex number (use the positive root only) 2 3-4i (i)42 + 12-V-64 | 1-4i 1+i) 5+i…

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Q: What is the algebraic form of the complex number 13 e (A) 12+5i (в) 5-12i c) 12-5i D) 5+12i

A: We can find the exponential form of the algebraic expression as below.

Q: Find all the complex roots.  Leave your answer in standard form. The complex cube roots of -64i

A: Given : The complex cube roots of -64i.             complex number,               a = 0, b = 64…

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: Find all the complex roots. Write the answer in exponential form. The complex fourth roots of 9+9/3…

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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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