Given z1 = 5(cos 184° + i sin 184°) and z2 = 3(cos 271° + i sin 271°), find the following: 71 Z2=. a) Compute z1 · Z2 (polar form) Z1 b) Compute (polar form) Z2 %3D Z2

Q: 3. Find the cartesian equation of r cos 0 = -4 and identify its graph.

A: To find the Cartesian equation of rcosθ=-4 and identify its graph. Solution: In Cartesian…

Q: Given that the point (22.2, 129.7) in polar coordinates, find its equivalent in the cartesian…

A:

Q: Draw phe Polar curve defind by r=4+2 Cos 36

A: Given:

Q: c. Please give three different polar coördinate pairs that represent the same point as (4, 37 /7)…

A: see below the answer

Q: 3. Draw the polar curve r = 1+3 cos 30

A: THE POLAR CURVE OF THE GIVEN FUNCTION r=1+3cos3x will be,

Q: Graph the polar equation below r² = 9 cos (28-7)

A:

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

A:

Q: The area of one loop of the graph of the polar equation r =2 sin 30 is Select one: O27 3

A: r=2sin3θ

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

A:

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

A: Put z=a+ib

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

A: By using some important replacements we can easily change cartesian equation into polar equation…

Q: 47. Show that every line that does not pass through the origin has a polar equation of the form sin…

A: Let's understand the relationship between polar coordinates and Cartesian coordinates. Please see…

Q: 45. The rectangular equation x² + y² - 2x=0 written in polar form is r = 2 cos.

A: The rectangular equation is x2+y2-2x=0

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

A:

Q: Given Z1 = 3.45 < 980° and Z2 = -5 + 9i. Solve the following: 3VZ2?, final answer in polar form. 1.

A: Please find attachment for the details solution

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

A:

Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2)…

A:

Q: If z₁ = 13 – 10i and z₂ = −15+9i, determine the following: (2²) (z₁+z₂) (Polar Form)

A:

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: Express the given equation in polar coordinates. 144xy = 121 121 p² sin? 0 = 144 121 ? cos 0 sin 0 =…

A:

Q: 6. O Convert the quation aty z+y froui cartesian to polar (10 P.) (u) Convert the equation r - 2 sme…

A:

Q: Evaluate the polar coordinate E| 4r2 cos 0 rdrd0.

A:

Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines √2 x +√2 y = 6

A: Given equation of the line is 2x+2y=6 To change the equation of line to polar equation, we use…

Q: Which of the following are intersection r= cos(30) r = sin(30) points of the polar graphs: ? Select…

A:

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: Which of the following graphs represents the polar equation defined by: r = 2+2 cos 0?

A:

Q: 4. Use the polar graph for the following */2 2n/3 3n/4 5n/6, 7n/6" 5a/4 71/4 4n/3 ŠR/3 3n/2 d)…

A:

Q: What are the solutions to x3 = 5-5i in polar form? Select all correct answers. □50cis (12) □ 5√2cis…

A:

Q: snip

A: (a) z=3cos20°+isin20°w=5cos100°+isin100° Then we get,…

Q: Given z1 = 4 cos I isin and z2 = 2 cos I isin find z1z2 and 3 3 write the product in polar form.

A: Given: z1=4cos 4π3+i sin4π3  z2=2cos π2+i sinπ2   To find z1z2

Q: 4. Find the exact length of the polar 2 cos os 0, 0 < 0 < T. curve r

A: Given: r=2cosθ on 0,π L=Length of Polar curve= ∫ab(r(θ))2+(r'(θ))2dθ now, r'(θ)=ddθ(2cosθ)=-2sinθ…

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

A:

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: 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: Graph z = 4 ( cos +i sin-) on a polar grid. Then express it in rectangular fo COS- 3 12 Y 12 6 12 12…

A: Topic:- coordinate system

Q: 2. Express in true polar form, z 5(cos 55°-j sin 55°)

A:

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: (a) Convert 6 + 2i to polar form.   (b) Express 5 cis 30° in the form a + bi. Give an exact answer.

A: The complex number x+iy is represented in polar form, r cis(θ). Such that,

Q: compute the length of the polar curve. r = cos2 θ

A:

Q: Find zw and W Leave your answers in polar form. - TC TO Z= 6 cos + i sin 11 11 TO W = 6| cos COS + i…

A:

Q: 9.5. If s1 = aj + ib¡ and s2 = a2 + ib2, and s182 = (a¡a2 – bịb2) +i(a¡b2 +azb¡) use the fact that r…

A:

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

A:

Q: Express the given equation in polar coordinates. 16xy = 121 121 ? cos 0 sin 0 = 8 121 r² tan 0 = 16…

A:

Q: Express in true polar form, z = 5(cos 55° -j sin 55°)

A: We have to express in true polar form z=5cos55°-jsin55°.

Q: 2. (a) Convert (5/3, , –5) to polar corodinates with r > 0 and then with r < 0.

A: If cartesian coordinates are (x,y) then polar coordinates are (r,θ), where  r2=x2+y2tan θ=yx Here…

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

A:

Q: If z = 3 (cos 15° + j sin 15°), find z* in polar form. (Express the argument in de- grees.)

A:

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: Write a polar equation of the formr cos(0 – 0) = ro for the line x - V3y = 2.

A: We have to solve given problem:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.