Evaluate and convert the complex numbers into polar form. a) a + -/5 - 2i 3 1 + 2

Q: Find the real and imaginary parts of the complex number.

A: We have to find The real and imaginary part of the complex number. z=-23i

Q: The absolute value, or __________, of a complex number a + bi is the distance fromthe ______ to the…

A: Given:   The absolute value, or __________, of a complex number a + bi is the distance fromthe…

Q: 0, : Describe the set of points in the complex plane that satisfy |!- |=|| (1) (2) Q. : Write the…

A: As per our guideline we are supposed to answer only first question of a multiple type questions.…

Q: Find the modulus, argument and polar form of the complex number: 1 + i.

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Q: Write the complex number in polar form with argument 0 between 0 and 2n. 7 - 7i

A: The expression of the polar form is given by z=rcosθ+isinθ Given complex number is (x+iy)=7-7i. The…

Q: he complex number i 21

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Q: Write the product of complex numbers in the form a + bi. (3 + 3i)(2 + 4i) =    (6 − 2i)2 =…

A: I²=-1

Q: Write the complex number in polar form such that 0 less than or equal to deta less than 360 degrees

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

A: -3i2-i=-3i2-3i-i=-6i+3i2=-6i+3-1=-3-6i

Q: Find the modulus and argument of the complex number (2+i/3-i)2. Also express -5+ 5i in polar form

A: 2+i3-i2=2+i3-i·3+i3+i2=6+2i+3i+i29-i22=6+5i+-19--12=5+5i102=25+50i+25i2100=25+50i+25-1100=50i100=i2=…

Q: Write the complex number in polar form with argument between 0 and 2. -1-√√3i

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Q: Write the complex number in pola 7 + 6i

A: I am going to solve the given problem by using some simple trigonometry to get therequired result.

Q: (5-8) and (-31)

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Q: Find the distance between the complex numbers in the complex plane. 1 + 4i, -1 + 7i

A: The distance between the two complex numbers, z1=a+bi and z2=c+di in the complex plane is  In the…

Q: Write the complex number in polar form with argument 0 between 0 and 2n. 7 - 7i Need Help? Read It

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Q: write the complex number in polar form with argument 0 between 0 and 2t 23 -2i

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Q: Convert the rectangular form of the complex number 2 – 2i into polar form. Show all work and label…

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Q: Write the complex number in polar form with argument θ between 0 and 2π. 5 − 5i

A: z=5-5i Comparing with z=x+iy, we get x=5  &  y=-5 Now, r=x2+y2=52+-52=50=52 Now consider the…

Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in…

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Q: Write each complex number in polar form. 1. −3 − 3i√3

A: Given that, z=-3-33i Write each complex number in polar form.

Q: (7-21) and (5 + 8i)

A: Find the distance between and the midpoint of each pair of complex number (7-2i) and (5+8i) .

Q: a) Let a complex number z =-5i+3. Find in the standard form x+ yi . IN

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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: O Express the complex number in the polar form -34i 5-3i

A: Answer

Q: Write the complex number in polar form with argument 6 between 0 and 2n. 9 + 9/3i

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Q: Find the distance between the complex numbers in the complex plane. -5 + i, -4 + 5i

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Q: The magnitude of the complex number esin(teta)+jcos(teta) is

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Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in…

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Q: Write the complex number in polar form with argument 0 between 0 and 27. -V6 + vzi

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

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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: (1) |z + 3 + 4i| = |z − 5| (2) |z| = 4   Find all complex numbers z that satisfy both (1) and (2)…

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Q: -1 - V3i

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Q: 1. the complex numbers given in polar form (re®) explain a) 2+2v3i b) -5 + V3i c) -V6 – VZi d) -3i

A: See the attachment

Q: Let z1 , Z2 and z3 be the complex numbers given in the following argand diagram. Find the complex…

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Q: Find the difference of the complex numbers in the complex plane. (4 + 2i) - (5 + 4i)

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Q: Let z, and z, be the complex numbers given in the following argand diagram. Find the complex number…

A: First I am going to find the complex number by using the Euler's identity and then solve the problem…

Q: Find the distance between the complex numbers in the complex plane. 71, 4 - 3i

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Q: Use De Moivre's Theorem to find the complex number raised to a power. Leave your answer in CIS form.…

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Q: Plot the complex numbers −5+i and 5-4i in the complex plane.

A: −5+i Here, real part = −5 Imaginary part = 1 Therefore corresponding ordered pair in the complex…

Q: 9+6i   plot the complex number in complex plane and write it in polar form.

A: Plot of given complex number 9+6i is

Q: Write the complex number in polar form with argument ? between 0 and 2?. 2sqrt3 -2i

A: Z = r(cosθ + i sinθ)

Q: Find the distance between the complex numbers in the complex plane. -2 6i, 6 + 5i

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Q: Write the complex number in polar form with the argument detha in domain [0. 360 degrees) z=9

A: For a Complex number, Z=a + bi the polar form is given by:

Q: Find the distance between the complex numbers in the complex plane. -2 - 4i, 4 + 7i

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Q: Write the complex number in polar form with argument e between 0 and 2n. -8i

A: The polar form is  8(cos(3π/2) + i sin(3π/2))

Q: Let z be a complex numbers. Then cot(5z-pi)=?

A: The objective is to find cot(5z-pi).