i(2 + 2i) (-√3 + i).Convert to polar form and then perform the indicated operations. Express answers in polar and rectangular form.

Q: 4. -5 Vi + 1/3 5. - V8 - 2i/3 V3 - 10i 6. + 5i

A: Polar form of a complex number z=x+iy is  z=rcosθ+i sinθwherer=x2+y2andθ=tan-1yx

Q: Write the equation in the general form of r=7/(1-cosθ) using rectangular coordinates.

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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: Determine in polar and Cartesian forms (a) [3/41°]* (b) (-2-)5.

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Q: Find

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Q: Q3: Express complex numbers to polarform and draw them: 1. 5+2i. 2. 4i

A: As we know that we can represent a complex number from rectangular to polar form as :- Rectangular…

Q: Find the indicated powers of the given complex number. Express the result in polar form, then…

A:

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: Convert the complex number from polar form to rectangular form, a+bi. 15.1 cos+i sin :) The…

A: Given,  The complex number  15.1cosπ4+isinπ4  We have to write it in rectangular form a+ib

Q: Convert the rectangular coordinates (-2, 2/3) to polar form. Let r > 0 and 0 <0 < 2n. Enter your…

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Q: Q? find the value of the complex number and write it in the polar form. V32(i – 1)

A: Given complex number is                                                                     32(i-1)5…

Q: Find three additional polar representations of the point, using -2pi<Ø<2pi (-9, 2pi/3)

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Q: r=2-cos(2theta) How do I convert this into rectangular form?

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Q: Express the complex number 2 + 2√3 i in polar (trigonometric) 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: + i5: and B = 4

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Q: Find a motion that moves the line x + 2y = 3 to the y-axis and point (1,1) to the origin. Give the…

A: We need to find the motion which moves the line x+2y=3 to the y-axis and the point (1,1) to the…

Q: Write the complex number z = 1 + I square root of 3 in polar form with the angle in degrees.

A: given,         z=1+3i

Q: Find a motion that moves the line x + 2y = 3 to the y-axis and point (1, 1) to the origin. Give the…

A: To find a motion that moves the line x+2y=3 to the y-axis and the point 1,1 to the origin i.e.0,0.…

Q: r=7-7sin(theta) How do I convert this into rectangular form

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Q: culate √2-4i. Give your answer in a + bi form. In polar form, use the angle 0 < 2TT.

A: Topic:- complex number algebra

Q: I. Write 2 – 7i in polar coordinates on the complex plane.

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

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Q: What is (-2/3 – 2i)* equivalent to? Drag a value to each box to correctly express the answer in…

A: Given :               (-2.sqrt(3) - 2i)4                into r . cis theta form.

Q: Change 8x-2y^2= 2x^2 to polar form. Solve for r or some power of r.

A: The equation in the rectangular coordinates is given by 8x-2y2 = 2x2 To evaluate : The equation in…

Q: -2-j3 3+j4 (final answer should be in polar form)

A: We need to evaluate complex number,  -2 - j33 + j4 First we need to multiply and divide by complex…

Q: Give the solutions of the complex equation –3z°(1 + i) = z(1 – i) in trigonometric for

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Q: Find (-1+ i)"and write the answer in exact polar form and rectangular form.

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Q: The complex number Z1 and Z2 are given by, Z1 = 3 - 5i and Z2 = -1+4i %3D Determine: 2Z1 +5Z2

A: topic - complex numbers

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: alculate V3 + 2i. Give your answer in a + bi form. In polar form, use the angle 0 < 0 < 2n.

A: Given query is to find the value of a and b.

Q: Plot the complex number z = 2 + 5i and find its absolute value.

A: Given:z=2+5i

Q: (a) Find all roots of the quintic equation, in the complex plane and plot them. 25 -1 = 0,

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Q: find all complex Values ofsatis fying the 2+1 given equation ē=(-1+i) ¿ .

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Q: r=-50sin(theta + 1.2)  How do I convert this into rectangular form?

A: We have to convert the given polar form into a rectangular form.…

Q: Find the complex number 1, where z, = 3-2.j, z, = 1+4j. Za

A: We need to find the Complex number z1/z2 where z1=3-2j and z2=1+4j.

Q: Write in polar form: a) -4i b) -3 + 3i

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Q: Express the complex number z = 6 cis 0° in rectangular form a + bi. Provide your answer below:

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Q: 1. iz? + 18i = 40

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Q: Convert the complex number from rectangular form to polar form. -10i

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Q: What is the polar form of the complex number z = 3i? Z.

A: Given that z = 3i and find that what is the polar form of this . Here i attached solution of this…

Q: Convert the rectangular coordinates (-2,2/3) to polar form. Let r> 0 and 0<0< 2n. Enter your answer…

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Q: B. Find the 6 sixth roots of (-729). Express your answers in polar form and the convert them into…

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Q: Calculate sqrt(2-3i). Give your answer in a+bi form and in polar form using the angle O less than or…

A: we have to calculate sqrt(2-3i). we have to give our answer in a+bi form and in polar form using the…

Q: 1- V3 i 1+v-3

A: Given : Z = ( 1 - √3 i )/(1+√-3)

Q: Perform the given polar form into rectangular form complex number. 10 1+jv3 1-jv3,

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Q: Convert (1 + i√3)(1 - i)/(2√3 - 2i) to polar form and then perform the indicated operations. Express…

A: The rectangular representation of a complex number is in the form of z=a+bi. The polar form is a…

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

A: