Convert x2 = 3y2 + 2 into polar coordinates. Sketch the graph of r = 4 + 4sinO

Q: Evaluate e-y dy da by converting to polar coordinates.

A: Given: ∫-22∫04-x2e-x2-y2dydx We want to evaluate above integral by using polar coordinates

Q: Find a polar equation that has the same graph as the equation in x and y.(x - 1)2 + y2 = 1

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Q: r = cos(0/7) %D

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Q: Sketch a graph of the polar equation  r = −3 cos 2θ

A: We will make a table for the function.

Q: Sketch the graph of the polar equation.r = 4(1 - θ)

A: To sketch the graph of the polar equation, r=4(1-θ), first, find the values of r corresponding to…

Q: Find a polar equation that has the same graph as the equation in x and y.y2 = 6x

A: Given,                equation -: y2=6xThe relation between polar coordinates (r,θ)and certesian…

Q: Sketch a graph of the polar equation  r2 = 9 cos 2θ

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Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines y = -5

A: We need to find the equation in polar form for the given line

Q: Find the angle α between the polar curves r1=eθ and r2=e−θ at the point of intersection.

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Q: Convert the Cartesian equation x² + y² -2x= 0 to a polar equation. x2 + y2 -2x 0= O 2=-2 cos e Or= 2…

A: Given artesian equation,x2+y2-2x=0Put…

Q: Find the Cartesian coordinates of the given polar coordinates. Then plot the point. (a) (-V2, 5x/4)…

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Sketch the graph of the polar equation.r = -3 sec θ

A: r=-3secθ

Q: Find a polar equation that has the same graph as the equation in x and y.x2 + y2 = 16

A: The polar coordinates of a point are given by x=rcosθ,y=rsinθ. For a circle with equation x2+y2=R2…

Q: Sketch a graph of the polar equation. r9 sin(e) P/2 PI/2 10 -8 -2 -20 20 40 -10 -20 30 Pi/2 Pi/2…

A: We have to sketch the graph of the polar equation for r=9sinθ.

Q: Find a polar equation in the form r cos (0-0) = ro for the line 2/2x+2/2 y = 16.

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Q: Convert the polar equation r² = 2 cos (-20) to a Cartesian equation. (x² + y²)² = 2x²-2y² (x² + y²)²…

A: In this question, we want to convert the polar equation in Cartesian equation.

Q: Write a polar equation of the form r cos(0 – 0,) = ro for the line 3 x- y = 2.

A: Given: To find the polar equation of the form r cosθ-θ0 =r0 for the line 3x-y = 2.

Q: Find a polar equation that has the same graph as the equation in x and y.xy = 8

A: we have to find a polar equation that has the same graph as the equation in x and y. xy=8

Q: Sketch the graphs of (a) r = 1. (b) θ = π /4 in polar coordinates.

A: We need to sketch the graphs of (a) r = 1 and (b) θ = π /4 in polar coordinates.

Q: Write a polar equation of the form r sin(0-00) = ro for the line 3 x + y 1. 2mark dentify and draw…

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Q: Graph the polar curve r = 2+4 cos 0

A: To graph the given polar curve Given polar curve is r = 2+4cosθ

Q: Sketch a graph of the polar equation a) r= 3cos3Θ b) r=2 - 2sinΘ c) r = 3cosΘ

A: Given:

Q: Transform the rectangular equation y = - 8 to a polar equation in T and 0.

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Q: ) Identify the conic section given by the polar equation r =

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Q: The equation x + y = 7 can be converted to a polar equation by replacing x with replacing y with and

A: The equation x+y=7 To convert it into polar co-ordinates

Q: x² – y = x

A: Explained below

Q: Convert the following equation to polar coordinates. x= 2y2 The polar form of x = 2y2 is (Type an…

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Q: Sketch the graph of the polar equation.r2 = 4 cos 2θ (lemniscate)

A: The polar equation is,r2=4 cos 2θ

Q: Convert to polar coordinates with r 2 0 and e between 0° and 360°. (-21, 12-3)

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Q: Transform the polar equation ?r = 5 cos(0) to an equation in a and y.

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Q: Sketch a graph of the polar equation  r = 4 − 3 cos θ

A: Given polar equation:                                     r = 4 − 3 cos θ

Q: re: Transform the Cartesian equation into a polar equation. Isolate r in your final equation. 3x –…

A: This question is based on conversion of rectangular coordinates to polar coordinates.

Q: Convert the following equation to polar coordinates. x= 3y? The polar form of x = 3y2 is (Type an…

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Q: Find an equation in x and y that has the same graph as the polar equation r-sin e =0 and graph on…

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Q: Find a polar equation that has the same graph as the equation in x and y. x + y = 3

A: A point in the polar coordinate system with coordinates (r, θ) has distance r from the origin and…

Q: Sketch the graph of the polar equation.r = 8 cos 3θ

A: See the graph

Q: Find a polar equation that has the same graph as the equation in x and y.y = 2

A: To convert the given equation to polar form: y=2 Solution: We know rectangular coordinates (x,y) and…

Q: Sketch the graph of the polar equation.r = e2θ, θ ≥ 0 (logarithmic spiral)

A: Consider the given polar curve to be r=e2θ, θ≥0.

Q: Plot the point at the right given in polar coordinates, and find other polar coordinates (r,0) of…

A: For this point ( 4, 11π/6) where radius "r" = 4  and  angle " theta" = 11 π/6

Q: Sketch the graph of the polar equation.r = 8 cos 5θ

A: We have to draw

Q: Sketch the graph of the polar equation.r = 2θ, θ ≥ 0 (spiral)

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Q: Sketch the graph of the polar equation.r = 1 csc θ

A: Answer is below

Q: Graph the polar equation r= 1 - 2 cos 0. %3D

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Q: Which is the graph of the polar equation? r = 3 cos 0 %3D 1 2 (0 from 0 to 27) 4 3 (0 from 0 to 27)…

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Q: Sketch a graph of the polar equation r = 3

A: Given: r=3 For drawing graph of given polar equation, first we convert it in rectangular form Now,…

Q: Sketch the graph of the polar equation.r = 2θ, θ ≥ 0

A: The given polar curve is: r=2θ; θ≥0 Now, as θ changes r changes 2 times of it. That is:  θ      r 0…

Q: Sketch a graph of the polar equation r2 = 4 cos 2

A: Given:       r2=4 cos2θ First, notice that             r2=4 cos2θ⇒4 cos2θ=2cos2θ Applying following…

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: