Represent the following complex numbers in polar form: 6. -i 7. -4 8. 2+2/3i 9. -5+ 5i 10. 2 – 2i 11. -1+ v3i

Q: Find the quotient z1/z2 of the complex numbers z1 = 2 - 2i and z2 = 1 - i. Leave answers in polar…

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Q: 1- Represent the following complex numbers in polar coordinate Z= 2 + 5j Y= -3 - 3j

A: Z=2+5j compare the complex number with z=a+bj a=2b=5 find the modulus r  r=a2+b2=22+52=4+25=29…

Q: Represent the following complex numbers in polar notation. a) z = -i b) z = -4 c) z = 2+ 2/3i d) z =…

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Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.

A: we have to find the quotient of z1z2 where  z1=2cos5π3+isin5π3z2=cosπ2+isinπ2

Q: Consider the complex number z = (1 – i)(-1-iv3). Find |2| and arg(2).

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Q: Express the complex number z =1- 3i in the form of ree and deduce the following complex numbers in…

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Q: Write the complex number in polar form with argument 0 between 0 and 2r. 5 + 5/3i () 101 cos + i sin…

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Q: Q: Express each of the following complex numbers in polar form (a) -2/3 - 2i (b) vZi (C) -1+ V3i (d)…

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Q: find polar form of the complex number Z= = (2√3-4i) + (-√3+5i).

A: The complex number: z=x+iy can be represented in its polar form as z=rcosθ+isinθ. Here, r=x2+y2,…

Q: Find the product of the complex numbers: z, = -V3+3i and z2 =1+ 2i in polar form.

A: Given:          z1=-3+3i          z2=1+2i         product of complex number =z1×z2…

Q: 11.Write the complex number 3e in polar and rectangular form

A: Given:     Z = 3ei(4π/3)

Q: Find the quotient z1/z2 of the complex numbers z1 = 2 + 2i and z2 = 1 + i. Leave answers in polar…

A: Given: z1=2+2i , z2=1+i To determine: z1z2. Also, to write answer in polar form.

Q: 1- Represent the following complex numbers in polar coordinate Z= 2 + 5j Y= -3 3j D= -2 + 6j 2- Find…

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Q: Convert the following complex numbers from polar to rectangular form: A. -4(cos 210°+ i sin210°)…

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Q: Find the radius  and angle of each complex number.  Z=4-3i Z=2+3i Z=3 Z=1+i Z=8+i

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Q: 3. Represent the following complex numbers in polar form. (a) -2/3+ 2i (b) (c)

A: Introduction: For a given complex number z=x+iy, it can be transformed into polar form. The polar…

Q: Rewrite the complex number 5(cos5.5+i sin5.5) in a+bi form

A: See the details solution below

Q: Express the complex number z = 4 – 4/3i in polar form r(cos 0 + i sin 0). Provide your answer below:…

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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: (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: Express the complex number z = 4 – 4/3i in polar form r(cos 0 + i sin 0). Select the correct answer…

A: Given: z=4-43i

Q: b) Express the complex number in polar form -4 + 4i

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Q: Precalculus hw help. 21 and 22. A, b and c. Thank you.

A: Hi there, at a time we can answer only one question. So I have answered first question.

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

A: Answer

Q: If 21 and z2 complex numbers such that z1 = 1+ V3i and 22 = V3+ i determine in polar form, (i) ž122…

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Q: Find the product of the complex numbers z1 = 4(cos 50° + i sin 50°) and z2 =  7(cos 100° + i sin…

A: Given complex numbers - z1 = 4cos50°+isin50°                ..........................(1)z2 =…

Q: Express the complex number z = -6/3 – 6i in polar form r(cos 0+ i sin 0). Provide your answer below:…

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Q: Convert the following complex number to Polar form 3 - i 1- 2i 4 + 2i' 3+3i

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Q: express the given complex number in polar form R(cos θ + i sin θ) = Reiθ.  √3−i

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Q: Find the following products of complex numbers a. (2 + 3i)(4 - 2i) b. (-1 - 2i)(2 + i)

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Q: Express the following complex numbers in polar form a: 3+4j b: -3-4j c: 3-4j

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form. z1 = 10(cos 10° + i sin…

A: We have given complex numbers z1 = 10(cos 10∘ + i sin 10∘)z2= 5(cos 5∘ + i sin 5∘) We have to find…

Q: Convert the complex number 9/3 9 i to polar form. Give exact answers for r and 0 (no decimals).

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Q: Graph the complex number, find its modulus and put the complex number in polar form with arguement Θ…

A: Graph the given complex numbers as shown below.

Q: 9. Which of the following complex number is on the third quadrant? O z = 3 + Oi O z = 2i - 3 z = i -…

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Q: b) Convert the following complex numbers (rectangular form) to polar form i) z=5+ jl0 ii) z= 10- j21…

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Q: Find the product of the given complex numbers in polar form. 3 (cos +i sin 푸).4 (cos (-표) + isin…

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Q: Find the product of the complex numbers z1 = 3(cos 40° + i sin 40°) and z2 = 5(cos 70° + i sin 70°).…

A: Given complex numbers - z1 = 3cos40+isin40           ................(1)z2 = 5cos70+isin70…

Q: Express the complex number z = - 1 - (square root 3)i in polar form: Z = r ( cos ( θ ) + i sin ( θ )…

A: Explained below

Q: Simplify the complex numbers and express your final answer in polar form z = r(cos0 + isin0):

A: Complex number in polar form…

Q: Use a scientific calculator or unit circle to convert the polar form of the complex number to its…

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Q: Represent the following complex numbers in polar coordinate Z= 2 + 5j Y= -3 - 3j D= -2 + 6j

A: Given: The complex numbers, Z=2+5j Y=-3-3j D=-2+6j To do: Represent the given complex numbers in…

Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2 A = 2+ j3

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Q: 1. Express the following numbers in polar form and plot it in a complex form а. 3+4i b. -3+4i C.…

A: x=rcosθ, y=rsinθ, and r=√x2+y2. Then, z=r(cosθ+isinθ).

Q: Express the following complex number in polar form. i. -3 - j4

A: Given that z= -3-4j , z=x+iy is cartesian form  then polar form is z=r(cosθ+isinθ) , where  z=x2+y2…

Q: Convert the complex number 9/3 9 i to polar form. Give exact 2 2 answers for r and 0 (no decimals).

A: The polar form of the complex number is rcosθ + isinθ. The formula for finding r is a2+b2 and the…

Q: Find the quotient z1/z2 of the complex numbers. Leave the answer in polar form with the argument…

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Q: Write the complex number z=−7 −3i in polar form: z=r(cosθ+isinθ) where:   r= and θ=   The…

A: Consider the complex number, z =  - 7 - 3i To compare the given complex with standard form of…

Q: A. Change the complex numbers to polar form: 1. ( - 3) 4. -- V15 +i5 2. (- 8i) 5. J7-iv21 3. -- 4 –…

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