Find zw and Leave your answers in polar form. z=7( cos 80° + i sin 80°) w= 10( cos 40° + i sin 40°) What is the product? zw=O [cos+ i sin] (Simplify your answers. Type any angle measures in degrees. Use angle measures greater than or equal to 0 and less than 360.)

Q: Convert the polar equation to rectangular form. r = 8 1 + sin ?

A: Consider the polar equation, r=81+sinθ Convert the polar equation to rectangular form. First we…

Q: Which of the following polar equations is symmetric only with respect to the polar axis (x-axis)? r…

A: The solution for the above question is as shown below.

Q: Convert each polar equation to rectangular form. 2 D=0 (a) r = 4 cos 0 + 5 sin 0 Rectangular form:|…

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Q: Find zw and Leave your answers in polar form. W z= 3(cos 15° + i sin 15°) w = 8( cos 10° + i sin…

A: See attached file for a step by step explanation to find the product and quotient of complex number.

Q: Complete each of the following in the "Show Your Work" space below: (1) Convert the polar equation 6…

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Q: Write in polar form r(cos(θ)+sin(θ)i for each given rectangular form a+bi     1.   (−1−i) =

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Q: Rewrite the polar equation r = 4 sin(0) as a Cartesian equation. Question Help: D Video

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Q: Express the Cartesian coordinates (-2/3,2) in polar coordinates in at least two different ways Write…

A: Here, the given cartesian coordinates are: x,y=-23,2 So, x=-23, y=2

Q: Consider the polar equations r = 9+8 cos(0) and r = 9+8 sin(0), whose graphs are shown below. 15 10-…

A: The graphs of the polar equations r=9+8sinθ and r=9+8 cos θ is given. Identity the given equation…

Q: Replace the following polar equation by equivalent Cartesian equation: r * cos(theta - pi/3) = 3

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Q: Find the intersections and symmetry for the polar equation r sine = 1 and then draw it.

A: Any point on the polar coordinate system is represented by the ordered pair: r, θ. For a equation of…

Q: The letters x and y represent rectangular coordinates. Write the given equation using polar…

A: Using relationship between rectangular and polar coordinates ,

Q: (a) Convert the polar equation r = 4 sin 0 to rectangular form. (b) Convert the rectangular equation…

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Q: The polar equation r = 4 sin 40 is symmetric to what axis? O Line OX or the polar axis pole or the…

A: r=4sin4θ Replace r, θ by -r, -θ, we get ⇒-r=4sin4-θ⇒-r=4sin-4θ⇒-r=-4sin4θ…

Q: Perform the indicated operation (Hint use DeMoivre's Theorem): 14 [ cos (195*) + i sin (195°) ]* 15…

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Q: Find zw and Leave your answers in polar form. w z= 3( cos 80° + i sin 80°) w = 5( cos 55° + i sin…

A: sinA±B = sinA cosB ±sinB cosA cosA+B = cosAcosB-sinA sinB cosA-B=cosA cosB +sinA sinB

Q: Convert from polar to rectangular form. Give exact answers when possible. Otherwise, round to the…

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Q: 5. Convert the polar equation to rectangular equation of the form y = mx + b. Simplify your answer…

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Q: Convert the rectangular equation to polar form. sin 0 – r cos? 0 = (Hint: What can you do to the…

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Q: Which polar equation is represented by the figure?" r = a cos 30 r = a sin 20 Option 1 Option 2 r =…

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Q: 2. Convert the polar equation to rectangular form. Simplify your answer p?sec @ = r?tan'0 sec 0 –…

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Q: Which of the following polar equations is/are symmetric to the line OX or the polar axis? A. r 2+…

A: An equation is symmetric to the line OX or the polar axis if replacing r, θ with r, -θ yields an…

Q: 17. Write in polar coordinates and isolate the variable r if possible. x? + y? = 6x

A: Here we have to form the polar equation.

Q: Replace the polar equation 1 1 r = 1– sin 0 1+ sin 0 with an equivalent Cartesian equation. Choose…

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

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Q: Convert the rectangular equation to polar form 2² + y? = 64 O the. r = 8 . O b. r 8 cos 0 Oc.r 64 O…

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Q: please help

A: Given  We know that cosx+isinx=cis(x) Therefore,

Q: Convert each polar equation to rectangular form. (a) r = -6 cos 0 Rectangular form: 4 (b) r = 8 cos…

A: Polar to rectangular coordinate

Q: Convert the polar equation to rectangular form. r = 5 cos 2?

A: r=5cos2θ

Q: Find zw and Leave your answers in polar form. z = 8( cos 150° + i sin 150°) w = 3( cos 230° + i sin…

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Q: Replace the given polar equation by equivalent Cartesian equation i. r2 + 2r2 cos 0 sin 0 = 1. r = 4…

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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: QI/ Replace the following polar equation with the equivalent cartesian equations. 2. r-6 sin e

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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: Simplify. Write your answer in rectangular form when rectangular form is given and in polar form…

A: Given:   a)  26cos270+isin270 ·5cod225+isin225b)  322-3i22+2i3

Q: Convert the given polar equation to a Cartesian equation. (Use the following as necessary: x and y.)…

A: We have to convert the polar equation to cartesian equation,  r = 6 sinθ

Q: Evaluate the following. Show complete solution and your answer must be in simplified form. Your…

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Q: Which of the following polar equations is symmetric only with respect to the polar axis (x-axis)? r…

A: We need to find the polar equation which is symmetric only with respect to the polar axis (x-axis).

Q: Convert the following rectangular coordinates to polar coordinates. Give exact answers only, no…

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Q: raph the polar equation and Identify the name of the shape. r = 4 − 4 sin(theta)

A: standard polar equation of cardioid

Q: 13. Convert the polar equation to rectangular coordinates. (a) 1- 2 cos 0 (b) r = 9 sin 0

A: Consider the provided question, (13) (a) Convert the polar equation to rectangular form,

Q: Use the table of values and plotting points in polar grid, graph the polar equation

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Q: The letters x and y represent rectangular coordinates. Write the given equation using polar…

A: We are given the cartesian coordinate function 10x2+10y2=6. Let us take x=r cosθ and y=r sinθ. So,…

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

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 5(1 −…

A: Convert following polar equation in Cartesian Equation.  r = 5(1- Sin(θ)).

Q: Find zw and Leave your answers in polar form. z = 9( cos 85° + i sin 85°) w =4( cos 25° + i sin 25°)…

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 3(1 −…

A: Given polar equation is r=31−sinθ. We have to convert the polar equation to rectangular coordinates.…

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: Use a calculator to complete the table of coordinates. Where necessary, round to two decimal places.…

A: Complete the table: Evaluate r for given value of θ: θ r=4sin2θ 0 r=4sin0=0 π6…

Q: Find the value of z. Show your complete solutions and answers should be in 4 decimal places and…

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