Find the polar equation for a parabola with its focus at the origin and whose directrix is y = -a (where a > 0). а Or 1+ cose Or 1- sine a Or= 1+ asine a 1- cose

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

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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 the polar equation of the conic with focus at the origin and the given eccentricity and…

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Q: find the eccentricity, identify the conic, give an equation of the directrix and sketch the graph of…

A: Solution is given below:

Q: Find a polar equation of the conic with focus at the origin and eccentricity and directrix as given.…

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Q: Find a polar equation in the form r= f(θ) of the ellipse with eccentricity e= 6/7 such that one of…

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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: Write a polar equation for a conic having focus at the origin, directrix y = - 2, and eccentricity e…

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Q: 1. Consider the polar equation r = 16 7-4cos (0) a. Identify the eccentricity. b. Compute an…

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Q: Find the polar equation of the conic with focus at the origin and the given eccentricity and…

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Q: Identify the conic section that the polar equation represents. Describe the location of a directrix…

A: Given the polar equation

Q: Write a polar equation for a conic having focus at the origin, directrix æ = 3, and eccentricity e =…

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Q: Find a polar equation in the form r= f(θ) of the hyperbola with eccentricity e= 4 such that one of…

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Q: Write a polar equation in rand of an ellipse with the focus at the origin, with the 8 eccentricity…

A: A polar equation  of the form r=ed1±e cosθ, r=ed1±e sin θ represents a conic with eccentricity e…

Q: Write a polar equation in rand of a hyperbola with the focus at the origin, with the eccentricity 2…

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Q: Identify the conic section that the polar equation represents. Describe the location of a directrix…

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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: Write the name of the conics given by polar curve r=6/(2+sin(t)) a) Determine the equation of the…

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Q: Identify the conic that the following polar equation represents. 5 r = 10 + 5 sin 0 Select the…

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Q: Identify the conic that the following polar equation represents. 8 r = 2+2 sin 0 Select the correct…

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Q: b) Find a polar equation for the conic that has its focus at the pole and satisfies the stated…

A: 4. b) Question:- Find a polar equation for the conic that has its focus at the pole and satisfies…

Q: Find a polar equation for the conic section with one focus at the origin, along with the given…

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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: The eccentricity is given of a conic section with one focus at the origin, along with the directrix…

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Q: c) Write the polar equation for a conic section with eccentricity 3, a focus at the pole, and a…

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Q: Find the polar equation of the conic with focus at the origin and the given eccentricity and…

A: Topic-polar equation

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: Find the polar equation that represents the conic described. (assume that a focus is at the origin.)…

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Q: r = 2– sin(0)"

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Q: Find the polar equation of the conic with focus at the origin and the given eccentricity and…

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Q: 5. Find the distance from the pole to the vertices, and then find the equation of the hyperbola in…

A: To find: Vertices of the curve and the equation in rectangular coordinates of the following polar…

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: 11. Write a polar equation of a conic with the focus at the origin given the following:…

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Q: Find the polar equation of a hyperbola with eccentricity 2, and directrix y = 5. Select the correct…

A: We have to find the polar equation of the hyperbola with eccentricity 2 and directrix y=5.

Q: A curve called the folium of Descartes can be represented by the parametric equations 3t2 3t and y =…

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Q: The polar equation r=2, the Cartesian equation x+y = 4, and the parametric equations x=2sin(3t) ,…

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Q: Rewrite polar equation for hyperbola as a 48 Cartesian equation r 5 – 7 sin(0) Preview

A: Given polar equation

Q: Find a polar equation in the form r = f(8) of the hyperbola with eccentricity e = 4 such that one of…

A: One of the foci            =0,0    poleeccentricity                   = 4vertex nearest to pole =…

Q: 1 Given eccentrici ty, e i directrix, x 2, and one focus at 4' the origin, find the polar equation…

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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 curve is r=53+8sinθ. To find: 1) Identify the conic.              2) Equation of the…

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: Write a polar equation in rand e of an ellipse with the focus at the origin, with the eccentricity…

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Q: Give the equation in polar coordinates of a conic section with a focus at the origin, eccentricity…

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Q: Find a polar equation thet has the same graph as the parabola x^2=8(2-y)

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Q: Find the polar equation of the conic with focus at the origin and the given eccentricity and…

A: We know eccentricity is the Ratio of distance between variable point to directrix to distance…

Q: Prove that the polar equation of a planet's elliptical orbit is (1 – e²)a e cos 0' where e is the…

A: Given: eccentricity of the ellipse is e. length of major axis is 2a. let the equation of ellipse…

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: Identify the conic with a focus at the origin, and then give the directrix and eccentricity. (Use…

A: r=93+2cosθ  Rearranging this, we get  r=931+23cosθ    r=31+23cosθ