Let z₁ = √3+ i and 2₂ = 1 + √√3i. (a) Write z₁ and 2₂ in polar form. (b) Find 2₁22 and 22/2₁. Express your answer in form a + ib.

Q: Find the conjugate of – 3i ( 2 + 5i ).

A: Solution

Q: swer in polar form where r> 0 and

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Q: Find the three cube roots of -8i. Express your answers in polar form and the convert them into…

A: To find the cube root of -8i Let z = -8i

Q: 2.1 Find the value of x and y from the given complex equation (-2+ i)x + 2y =1+ 3i. 2.2 Write the…

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Q: (b) Given the equation z₁ = 1 + √3i, z₂ = −2 −2i. (i) Convert z, and z₂ into polar form. (ii) Hence…

A: Given the equation z1=1+3i, z2=-2-2i (i) To convert z1 and z2 into polar form. (ii) Hence, by using…

Q: Let i denote the square root of −1. Suppose w=1+i. Find three cube roots of w in polar form.

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Q: 10. Find the polar form of -4 + 4i.

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Q: Question 2.3b. Let Z1 2 1+i Find the imaginary part of z1 - Z2. C -2 2 3 O -2 2 and 22 = 1; : 3

A: In this question , we will find the imaginary part of z1 - z2 .

Q: (4-4√-25)(7+5√-36) answer in polar form

A: We will find out the required polar form.

Q: Express the quantity below in a + bl form. i(5+2i) (2-5i) O A. 21+201 O B. – 20+21li OC. - 21i O D.…

A: Given expression is i5+2i2-5i. To express the expression in the form of a+bi. Solution: We know…

Q: 3. 2i, -2i 4. -5 Vz + i/3 5. V8 – 2i/3 V3 – 10i -V3 + 5i 6. -

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Q: 2Q: Express the complex number z = -2√√4 +11i in polar form and also represent it graphically. Hence…

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Q: 1. Express 2/3 + 2i in polar form.

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Q: If Z₁ = = 13 - 10i and Z₂ = = −15+ 9i, determine the following: 4z₁ - 5z₂ (Polar Form)

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Q: Z and W are both complex numbers. Add them together once in exponential form and once in polar form.…

A: We have to solve given Questions.

Q: 3n i Let z = V2 e 4. Write the complex number 1/z + 2° in normal form (in the form a + ib).

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Q: Let z = 4√3-4i. (a) Express in the standard polar form. (b) Express in the polar exponential form.

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Q: -1 -1

A: Bartleby Guideline: Since you have posted multiple questions, we will provide the solution only to…

Q: 2Q: Express the complex number z=- = -2/4 +7i in polar form and also represent it graphically. Hence…

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Q: Consider the equation (6 + 7 i) z³ = 5(3 - 5 i). (i) Rearrange the equation into the form z³ = zo…

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Q: 2. Do the following calculations (a) Write –V3 + i in polar form. (b) Find all 3rd roots of 8i. (c)…

A: By using algebra of complex Numbers and polar form of complex numbers we can solve this question.