Write the following numbers in the polar form rcis(0), 0 < 0 < 2n: 1 (a) = r = (b) 4 + 4i , = r = (c) – 7 + 7i r =

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

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Q: Find the product z,z2 and the quotient 2. Express your answers in polar form. z1 = 3(cos(250°) + i…

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Q: For the polar function r (0) = 3 cos(20) do the following:

A: Given : Polar equation r(θ) = 3 cos(2θ)    To find : Plot the graph of given polar function. And…

Q: Convert the following from rectangular to polar form d) -8-j16 e) 0.02 -j0.003

A: Use the formula to convert rectangular form to polar form .

Q: If z1 = 13 – 10i and z2 = -15 + 9i, determine the following: ) (z, + z2) (Polar Form)

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…

Q: Express the following Cartesian coordinates in polar coordinates in two ways. (-3,3/3) ..... Select…

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Q: (4230°)² 3. - (6 – 4i)“. Express your answer in polar form. - (2cis60°)³

A: Given: 4∠30°22cis60°3-6-4i2 To express: Given complex number in polar form.

Q: How many petals are there in the graph of the polar equation r = 2 cos3@ ?

A: Draw the polar curve

Q: Write the following numbers in the polar form re®, 0 < 0 < 2n: 1 (а) 3 r = (b) 5 + 5i r = 0 (c)…

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

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Q: The polar form Z = 2V3- 2i is Z = 4(cos + isin- 11m O true

A: The given complex form is Z=23-2i

Q: For each set of Polar coordinates, match the equivalent Cartesian coordin- 1. (-6.8659,-1.3505) 2.…

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

Q: The exponential polar form is

A: The exponential polar form is given by z=reiθ where r is the modulus of z and θ is the argument.

Q: nd the Cartesian and the polar form of 7e

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Q: Q2) Convert the polar function r = tan20 to cartesian. %3D

A: Let's find.

Q: a1/Giaph the Polar function? +4YCOS8-815ine=-4

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Q: Given z= -5 - 8i, what is z in Polar form?.

A: The polar form of a complex number a+bi is reiθ, where r=a2+b2, tanθ=ba. Calculate the modulus of…

Q: What is the polar representation of z = 6i?

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Q: Find the area inside one leaf of the polar graph: r = 3cos3x

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Q: Find the polar equation of the line y = 7x + 5 in terms of r and 0. (Use symbolic notation and…

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Q: Find the product z1z2 and the quotient -. Express your answers in polar form. Z2 24 - + i si()), -…

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Q: Perform the indicated operation and convert your final answer to polar form z = r(cos0 + isin®) 1.)®…

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Q: Write the following numbers in the polar form r(cos 0 + i sin 6), 0 < 0 < 2n. (a) 3 r = .0 = (b) 8i…

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Q: Write the following numbers in the polar form re", 0 <0 < 2T: 1 (a) 2 r= ,0 %3D (b) 4 + 4i r3= ,0 =…

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Q: Find all solutions to a) z^4=i and b) w^3=8 using polar form

A: (a)

Q: (a) 0 = %3D (b) 6 + 6i 0 = r = (c) —3 — 3і r = 0 =

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Q: Find  z1/z2  in polar form z1 = 21cis{135 degrees}             z2= 3cis{75 degrees}

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Q: 5. If z = 2(cos 25° +j sin 25°), find z in polar form.

A: It is simple calculation in polar form

Q: What is the polar form of 7- j9 ?

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Q: Q2) Convert the polar function r = tan20 to cartesian

A: We know that x = rcosθ, y=rsinθ Given: r=tan2θ

Q: (4230°)-(2/225°) d. (24140°)(3/300°) (Express your answer in polar form)

A: The given problem is to simplify and express the given complex expression in terms of polar form.

Q: Given: A. Simplify the following expression Z =rZ0 in polar form, where r>0 and -180° <0 < 180°. (3…

A: Given that z=3-j4-3+j44∠A+jsin30°

Q: Write the following numbers in the polar form re", 0 < 0 < 2T: 1 (a) 7 r = (b) 5 + 5i r = 0 = (c) 8…

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Q: Find the area of the region inside one leaf of the polar graph: r = sin4x

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Q: Express the following Cartesian coordinates in polar coordinates in two ways. (-2,2/3) ..... Select…

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Q: Reduce the following to polar form. (3– j4)(10|40°) 6+30 53.13° (6+ js)+-

A: By using polar to complex and complex to polar form we can reduce the expression to polar form

Q: Convert In(x) = 5 to an equation in polar coordinates of the form r = f(0). (Use symbolic notation…

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Q: Find the quotient of z1 = -6+2i and z2 = 7+8i in polar form %3D %3D

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Q: Q2) Convert the polar function r tan20 to cartesian.

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Q: Find in polar form: Z2 Z1 = 21cis (135°) Z₂ = 3cis (75⁰) Z2

A: Given;  z1=21 cis(135) z2=3 cis(75).

Q: Find the polar equation of the line y = 10x + 9 in terms of r and 0. (Use symbolic notation and…

A: topic - conversion of cartesian equation to polar equation

Q: Find the two square roots of z (call them wi and w2) and express in complex polar form r(cos(0) + i…

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Q: Find the product z1 z2, expressed in polar form, if: 2; = cos +isin 2 co0 + isin = cos 12 12

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Q: Write the following numbers in the polar form re", 0 < 0 < 27: 1 (a) 3 r = 0 = (b) 6 + 6i r = 0 =…

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Q: 3.3. Show that in a polar coordinate system, the distance d between the points (r1,01) and (r2, 02)…

A: The distance between r1,θ1 and  r2,θ2 is d=r12+r22-2r1r2cos θ1-θ2

Q: Q2:- find the polar coordinates for the fol 1:-(-2,2) 2:- (-1, /3) 3:- (2/3,2)

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Q: Find the three additional polar coordinates of (2, 7pi)

A: Polar coordinates: Usually we consider r and theta as polar coordinates. The notation for denoting…

Q: Find the product z,z2 and the quotient 2. Express your answers in polar form. Z2 Z1 = (플) +i…

A: The Euler's theorem is cosθ+isinθ=eiθ.