et z -4-i and w = i be given. Find zw and in the cartesian form ,if possible, by using he polar forms of z and w.

Q: 1. Let (-V3, –1) be the cartesian coordinates of the point P. Find the polar coordinates (r, 0) of…

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Q: Please Write down the solution clearly.

A: The complex form is , z=2cos2π4+isin2π4. To convert into polar form,  z=reiθ. In the given complex…

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

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Q: 5. Solve the following and leave your answer in polar form. V22? = -Z - V2 %3D

A: Put z=a+ib

Q: 3) Convert the following polar equations to rectangular equations. 1 a) r = b. r=4 4 cos 0-3 sin 0

A: (a)r=14cosθ-3sinθSince, x=r cosθ , y=r sinθso,cosθ=xr , sinθ=yrsubstitute in the given polar…

Q: 2. Given z (22 + m) + 4i and 2= -6 - (8 + n)i. Find w and write it in polar form

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Q: in polar form, find z1 z2 and 22 Write z, and z2 . z1 = –V2i and z2 = 1 – i

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Q: B/convert the points below to the polar coordination (r,e) 1. (2,-2V3)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q4: Write down the answer after converting the polar coordinates (-2, 4tt/3) into the Cartesian…

A: Topic = Coordinate Geometry

Q: If 0 < 0 < 7, which of the following points DOES NOT coincide with the polar point (-r, 0)? Select…

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Q: (b) Find z, z, in polar form given z, =4v5cis(60 ) and z, =7cis(150). I

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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: All the polar coordinates of the potnt are: (o (4승+2nn) and (0)(4승+2nm) and + 2nn (e) None (o(+동+…

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Q: Test the following polar equation for symmetry with respect to the polar axis, the pole, and the…

A: we have been given the polar equation  r=4+8cosθ we have to show the symmetry with respect to the…

Q: 3 6. Rewrite the polar coordinates r = as a Cartesian coordinates 1-2cos(0)

A: For cartesian co-ordinates- x=rcosθ,y=rsinθ &amp; r2=x2+y2

Q: Change the following polar equations to rectangular form. Show work 6. 2. r = 13. r= 5cos0 4-cose…

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Q: Find the Cartesian coordinates of the following points (given in polar coc 7n a. V2,4 b. (4,0) с. 0,…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Q2) Replace the following polar equations by equivalent cartesion equations and identify their…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: It is true that i 8 It is true that 1+i in the polar form is 4/2cis(- )

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Q: 3 Rewrite the polar coordinates r = as a Cartesian coordinates 1-2сos(0)

A: The given polar equation is: r=31-2cos(θ)

Q: Q2) Replace the following polar equations by equivalent cartesion equations and identify their…

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Q: The location of the polar coordinates (1, 3Tt/4) is in the second quarter of the x-y axis. * O False…

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Q: Prove that the distance, d, between two points with polar coordinates (r, 01) and (r2, 02) is d =…

A: Distance (d) between two points x1, y1 and x2, y2 is  d=x1-x22+y1-y22   ....1

Q: 2. Give the corresponding rectangular coordinates for-the given polar coordinates. 11T 7 (b) (4,3x)…

A: Given points in polar coordinates, we need to convert them into rectangular coordinates.

Q: Find zw and Leave your answers in polar form. W Z = 2( cos 130° + i sin 130°) W = 4(cos 290° + i sin…

A: We will use the…

Q: Use De Moivre's Theorem to solve for z and leave your answer in polar form with the angle in radians…

A: If z=rcosθ+isinθ then the nth root is zn=rncosθ+2πkn+isinθ+2πkn and if z=a+ib then r=a2+b2 and…

Q: Which one of the following polar equations is equivalent to y =x- 4. 4 r = sin 0 – cos 0 cos 0 – sin…

A: We have to find

Q: Select the correct answer from each drop-down menu. 2+y2=25 is written in polar form as e = 225° is…

A: see below the answer and calculation

Q: Find polar forms for zw, z/w, and 1/z by first putting z and w into polar form. z = 4√3 -4i,  w = 8i

A: We have to find the polar form for zw, zw and 1z where z=43-4i and w=8i. First, we have to convert z…

Q: Find two other pairs of polar coordinates of the given polar coordinate, one with r> 0 and one withr…

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Q: Exqmple: tind to the followding polar equations- Or cos o =2 pt cośce-rt site=l ☺ r=l+2r Cose

A: We find the Cartesian equation to the given polar equations by substituting the followings:…

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

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Q: Given the point in polar coordinates ( 5, find two other polar coordinate representations. 6 Part:…

A: Here we have A point in polar coordinates 5,5π6. we have to find the other two polar coordinate…

Q: By using de Moivre's theorem, find all solutions to the following equations, giving your answers in…

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Q: 12. Which of the following corresponds to the poin (-4, 2pi/3) in polar coordinates in Cartesian…

A: Relationship between polar coordinates system and Cartesian coordinate system is:  x= rcos(theta) y=…

Q: Test the following polar equation for symmetry with respect to the polar axis, the pole, and the…

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Q: Match each point in polar coordinates with either A, B, C, or D on the graph. Co 5T 10,- 11x 10. 11x…

A: To find the polar coordinates of the point specified.   C is the reflection point of A, so…

Q: (c) Find z,z, in polar form given z, =5/3cis(120) and z, =V2cis(210).

A: Multiplication rule for two complex numbers in polar form:

Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

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Q: are polar coor point P, as shown below, find the maximum possible errors in calculating x and y…

A: In this, We find the maximum possible errors in calculating x and y coordinates of the same point.

Q: 2. Given z (22 + 0 ) + 4i and = -6 – (8 +0)i. Find w and write it in polar form

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Q: Which one of the following polar equations is equivalent to y =x -4. cos 0 – sin 0 4 4 cos 0 – sin 0…

A: Given that  y = x - 4 . We need to find it's equivalent equation in polar form.

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

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

Q: Which of the following are possible polar coordinates for the point P with rectangular coordinates…

A: Coordinates are the points which represent its location with respect to the origin. The point in…

Q: Plot the point given in polar coordinates and find two additional polar representations of the…

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Q: 2.- Find the value in polar form of the following expressions а) ei1 b) e1-j1

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Q: Which of the following polar equations shows a limacon with a dent? A) r = 6 + 4 sin 0 B) r = 4 – 6…

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Q: Which of the following is equivalent to fo J Tady dz in polar coordinates? So So dr de O SA SoPdr de…

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Q: Which of the following polar points is equivalent to the rectangular point (-2/3, 2)? Select all…

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