32/-20° (b) (6 - j8)(4 + j2) 20 10+j24 -

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-2 - 7i

A: z=-2-7i Now, r=-22+-72=53 & θ=tan-1yx=tan-1-7-2=π+tan-172      ∵The given complex number lies in…

Q: find all complex-number solutios (x+5)2 = -108

A:

Q: Write the complex number in polar form with argument 0 between 0 and 27. -V2 + Või

A: Given,         -2+6iWe know that,          The polar form of a compex number is given by…

Q: Plot the complex number. 9 - i Imaginary Imaginary аxis аxis 10 10 5 5 Real Real -10 9 - i 10 axis…

A: Graph :

Q: Express the complex number z = 6 cis 180° in rectangular form a + bi. Select the correct answer…

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-4 + 2i

A: z=-4+2i Now, r=-42+22=20=25 & θ=tan-1yx=tan-12-4=π-tan-112     ∵Given complex number lies in…

Q: Need help

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Q: Subtract the two complex numbers: (3 + 6i) –- (5i). What do you notice?

A: Explanation of the answer is as follows

Q: Divide complex numbers: 3- 2i 2-

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Q: Find two square roots for the complex number. Leave your answers in trigonometric form. 81 cis 0° 9…

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Q: To subtract two complex numbers geometrically, first represent them as ________.

A: To subtract two complex numbers geometrically, first represent them as vectors u and v. Consider two…

Q: Find the cube roots of the complex number Z. z = 27 cis 195°. Select all correct answers.

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Q: Use DeMoivre’s theorem to find (–8)1/3. Express your answer in complex form.

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Q: If X = 3 - j2     and    Y = 3 + j2   convert your pair of complex numbers to polar form

A: For X=3-j2:

Q: Use DeMoivre’s theorem to find (–√3/2 +i/2)12. Express your answer in complex form.

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Q: iz = iz where z is a Complex number in a

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-17

A: Let z=−17⇒z=−17+i0The complex form z=x+iy in trigonometric form is written asz=rcosθ+isinθ,…

Q: Solve for variable in x^3 - i = 0 over complex number system

A: Let's solve given complex number equation.

Q: Find all the complex roots. Leave your answer in polar form with the argument in degrees.

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Q: Calculate these complex numbers and express your results in rectangular form: 60/45° (a) 7.5- j10…

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

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Q: Plot the complex numbers –2+i and 8 –3i in the complex plane. Imaginary Axis 8. 6- 4. 3. 2. Real…

A: see below the answer

Q: Write the complex number in standard form. cis150° V3 i 1 + i 2 V3 i V3 1 + 2

A: Here we find complex number in standards form.

Q: Plot the complexnumber then write the complex number in polar form express in degree 13-13i

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Q: If Z₁=14+7i and Z2=3+17i, determine the imaginary part the complex number: Z₂ Give your answer to…

A: Given :Z1=14+7iZ2=3+17i

Q: Write the complex number in trigonometric form. (Let 0 < 0 < 2n.) z = Imaginary axis 10아 5 z = -4 -…

A: The given complex number is  Z= -4+0i  Here the imaginary part of this complex number is 0 .

Q: . Solve for the value of the complex number in rectangular form. (61)#) tan OA. -0.1349 + jo.2925…

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Q: Write the complex number in standard form.  2 cis 5

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Q: Convert to complex form z3 = 8

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Q: Cis

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Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.2 - 2√3 i

A: Given complex number is: z=2-23i Let us consider, r cos θ=2r sin θ=-23 Then we get,…

Q: Write the complex numberz=-4+4i in trigonometric form

A: polar form any complex no is given by as: z =r(cosx+i sinx)

Q: Plot the complex number and its complex conjugate. 9 - 6i Imaginary axis 10- 8

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Q: 6+5i -6-3i 2s

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Q: Let z = 3 – Ai, w = 1+ 2i be complex numbers. For both z and w, what is the: • Real part • Imaginary…

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Q: How do you add two complex numbers?

A: Suppose two complex numbers a=x1+iy1, b=x2+iy2

Q: Calculate these complex numbers and express your results in rectangular form: 15/45 (a) + j2 3- j4…

A: To find: Calculate these complex numbers and express your results in rectangular form: 15∠45°3 - j4…

Q: Plot the complex number. 6V2 - 6/2i

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Q: To do: 6. If Z1 = 2 + 51, and Z2 = 3 - 21, then what is Z1 x Zz as a single complex number? What do…

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Q: Find tjhe distance between the pair of complex numbers. (-8 - 7i) and (-10) V73 O45 V53

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Q: Find the square roots of the complex number z = 64 cis 4. Select all correct answers.

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Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.3 - 3√3i

A: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.3 - 3√3i = 3 (1 - √3i) Multiply…

Q: How do I write this complex number in standard form?

A: Given that: -7.-14

Q: Plot the complex number. 1-V3i Imaginary Imaginary axis axis 4 4 2 2 1- V3 i Real Real -4 -2 4. axis…

A: A detailed solution is given below.

Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8. 6. (7, 5) 4 2 Real…

A: Add the real parts and imaginary parts seperately.

Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8. (-2, 6) 4 2. (6, 1)…

A: In this question we have to find the sum of complex number.

Q: What is the first step in writing the complex number -1 + i in trigonomet-ric form?

A: Consider z=x+iy is any complex number, so polar form is, z=x+iy=rcosθ+isinθWherer=x2+y2θ=π-tan-1yx…