Convert the given polar equation to a Cartesian equation. r= 6.cos(e) In Cartesian, this equation is Write in the standard form of a conic if possible.

Q: Find the eccentricity, identify the conic, and equation of the directrix. 1 r = 2 + sin 0

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Q: identify the type of conic, the eccentricity, and the equation of the directrix. r = 8/1 + 4 cos θ

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Q: Find a polar form of the equation. x2 - y2 = 36

A: Given equation, x2-y2=36

Q: In the given equation a s follows , use a graphing utility to graph the polar equation when (a)…

A: (a).        Given :                    e = 1.5        If e = 1.5, so the conic is hyperbola…

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: What is the correct graphing of this polar equation? r = − 7 sin ( θ ) + 7

A: Consider the given information r=-7 sinθ+7

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: 4. Write down the name of the conic given by the polar curve r = 15 / (3 + 2 sine). Determine the…

A: We have to draw graph of given curve.

Q: Find a polar equation that has the same graph as the parabola x² = 8(2 – y) %3D

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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: Use the identity cos 2θ = cos2 θ − sin2 θ to find a polar equation of the hyperbola x2 − y2 = 1.

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Q: Identify the conic the polar equation represents and give the position of the directrix. 1 1-sin 0…

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Q: What are the polar coordinates of the point A shown below? 2 3 4.

A: See the given diagram very properly.

Q: Convert the given polar equation to a Cartesian equation. 2-cos(e)-4 sin(e) In Cartesian, this…

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Q: Find the polar equation for a parabola with its focus at the origin and whose directrix is y = -a…

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Q: Sketch the graph of the polar equation. r = 8 + 5 sin 0

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Q: Give the eccentricities of conic sections with one focus at the origin of the polar coordinate…

A: Solution:- Eccentricities of conic is, e=1 Directrix is  r cos u=-4 That is, x=-4 Now polar…

Q: Identify the conic section and graph the polar equation: r = 2/(1 - cos θ)

A: The given polar equation is r=21-cosθ Here, the given equation can be ellipse, parabola and…

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: Which of the following gives the Cartesian form of the polar equation = Ürsm

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Q: Find a polar form of the equation. X = 6 .

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Q: Identify the conic the polar equation represents and give the position of the directrix. r= 12 9+5…

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Q: In Problem,identify the conic that each polar equation represents and graph it.

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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: 3 Identify the conic represented by the polar equation r 1 Find the rectangular equation. 2 cos 0

A: Given equation, r=31-2cosθ                              ....(1)

Q: State the polar Equation of a Conic Section.

A: Polar equations of conic sections:  If the directrix is a distance d away, then the polar form of a…

Q: identify the type of conic, the eccentricity, and the equation of the directrix.  r = 12/4 + 3 cos θ

A: To find: The type of conic, the eccentricity, and the equation of the directrix. Given information:…

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

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Q: identify the type of conic, the eccentricity, and the equation of the directrix.  r = 8/4 + cos θ

A: Given: r = 84 + cos θ To identify: The type of conic, the eccentricity, and the equation of the…

Q: Identify the conic that each polar equation represents.Also,give the position of the directrix.

A: A conic section is obtained from the intersection of a plane with surface of a cone. Three types of…

Q: identify the type of conic, the eccentricity, and the equation of the directrix. r = 8/4 + 3 cos θ

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Q: Consider the polar equation of a conic. Determine the eccentricity. -5 r = 1 + cos(0) e =

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Q: Sketch the graph of the polar equation.r = 2 sin 4θ

A: Given: r = 2 sin 4θ

Q: convert the given polar equation to a Cartesian equation. Write in the standard form of a conic if…

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Q: What is the correct graphing of this polar equation? r = − 7 cos ( θ ) − 4

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Q: Test r = 1+2cos θ for symmetry and then graph the polar equation.

A: Given: The polar equation, r=1+2cosθ.

Q: Use a graphing utility to graph the polar equation when (a) e = 1, (b) e = 0.5, and (c) e = 1.5.…

A: Given polar equation is r=2e1-esinθ (a)When  e=1 then conic will be parabola. Graph of the parabola…

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

A: Given polar equation is: r = 5 Its cartesian form is: x2+y2=5⇒x2+y2=25 Thus the graph of the given…

Q: a. If necessary, write the equation in one of the standard forms for a conic in polar coordinates.b.…

A: Given polar equation is r=63+6sinθ.

Q: Convert the polar equation of a conic section to a rectangular equation. 8 r = 7 - 3 cos(0)

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Q: For the given polar curve, identify the conic, find the equation of the directrix, and sketch it: r…

A: Given: The function is given as ? = ?/?+?????

Q: For the given polar curve, identify the conic, find the equation of the directrix, and sketch it: r…

A: Given polar curve r=53+8sinθ Comparing the above form to the general form: r=ed1+esinθ Here, e is…

Q: Find a polar equation that has the same graph as the equation in x and y.(x + 2)2 + (y - 3)2 = 13

A: Find a polar equation that has the same graph as the equation in x and y.(x + 2)2 + (y - 3)2 = 13

Q: Identify the conic and write its equation in rectangular coordinates: r 2 - 2 cos 0

A: r=12-2cosθ⇒r=121-cosθ⇒r=121-cosθ Comparing with r=ep1-ecosθ, we get e=1&ep=12⇒1p=12⇒p=12 Since…

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

A: Answer is below

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: Which of the answer choices correctly graphs the polar equation below? θ=5π/12

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