Which of the following points has the polar coordinates -4, 3 n/2 2n/3 R/3 3n/4 T/4 5n/6, 4 15 7n/6 Sn/4" 7n/4 4n/3 Sn/3 3n/2 O F O A E. B.

Q: Express the following Cartesian coordinates in polar coordinates in two ways. (6,-6√3) Select all…

A: given  (x,y)=(6,-63)in polar coordinates r2=x2+y2and tan(θ)=yx

Q: Let z = 7 (cos (7π/9) + i sin (7π/9))  and w = 6 (cos (2π/3) + i sin (2π/3)).  If zw is expressed…

A: Introduction: A complex number has many different representations. These are the rectangular…

Q: Put in polar form z -3(cos(6) + i sin(6)). What is its principle argument, Arg(z)?

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Q: 1. For the polar coordinate (r,0) = (-2,7x/6), give one coordinate rUand -2nsOs 2n.

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Q: 21 in polar form. The angle is in degrees. 22 Find z1 = 10 cis (141) and z2 = 13 cis (99) cis Z1 22

A: solution

Q: Find the polar coordinate for (-1, √3) where r>0 and 0≤Ø<2π

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Q: Find a Cartesian equation from the polar curve 4r sin 0 = 18(rcos 0) +14 1S is

A: Given polar equation is 4rsinθ=18rcosθ2+14  .....1

Q: Which of the following gives the Cartesian form of the polar equation r = 5sin 0 4cos²0 Select the…

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Q: ..D .20 Show that fe conversion to polar coordinates. dx = √n by considering e-(x²+y²) dxdy and a

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Q: Write the given polar equation in cartesian form (in terms of x r – 1= cos 0 = Cos 2- y? – 1 = x²…

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Q: 1. Change to polar form, then evaluate: -x-1 х — у dydx V1-x² /x² + y² -1

A: Solution is given below..

Q: 2. Given z = (22 + m) + 4i and =-6-(8+n)i. Find w and write it in polar form %3D m = 5 N = 4

A: Given: z=22+m+4i and zw=-6-8+ni To Find: Find w in the polar form if m=5,N=4

Q: Rewrite the polar equation r = = 6 sin(0) as a Cartesian equation.

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Q: 6.) Use your calculator to make a graph of the polar function r (0)=2sin (0)-cos (30) on the grid…

A: Given function is:where angle (θ) lies between .Here we have to find various angles i.e.

Q: Let z1 =1+jv3 and z2 = v2 - jv2 . Find the product of z1 22 in standard polar form. Answer: a.…

A: Product of two complex numbers

Q: Express z 13+ V3i in polar form. Find the value of z if e =1.

A: Complex number in polar coordinate is given as:  z=reiθWhere r=x2+y2   θ=tan-1yx Given complex…

Q: If z1 = 1 + 3j , and Z2 = 2 – j , which of the following options shows the product Z1 Z2 in polar…

A: Solution

Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos 6 in polar ㅠ 즈 2m 3m 5л…

A: Graph Tracing and polar curve.

Q: Let z = 9(cos 2.3+isin 2.3). Write the following numbers in the polar form r(cos o + i sin ø), 0 < o…

A: Here, the given complex number is: z=9(cos 2.3+ sin 2.3) Comparing the number z with r(cos ϕ+i sin…

Q: Plot the point with the given polar coordinates. (4, -12) O O O O Sm - 7x 6 7x 6 5m 7x 6 22 7x 6 53…

A: The given coordinate is r,θ=4,-1112π That means at radius 4 we need to plot the angle which is in…

Q: Find W Leave your answer in polar form. z = √3| cos w = √6 cos O A. 7π 4 9μ 4 + i sin + i sin √2 T…

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Q: z = v3 - i, and let w = 6 (cos () + i sin COS | a.) Write z in polar form. b.) Find zw. Write your…

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Q: 9. 1.7e1.2-/2.5 into polar form Ans.

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

Q: Find z,z2 in polar form. 21 = 2 (co여(플) +i sin(플)); 22 =4( cos +i

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Q: For items 6 & 7, express the complex number in polarform. 6. -V6- ivz A. 2/2 cis 210° B. 3/2 cis…

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Q: . Find the polar equations x-3y+2=0

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