Find the polar equation of the conic with focus at the origin and the given eccentricity and directrix. (Use the following as necessary: r and ?.) Directrix:  x = 5;    e = 1/7

Q: Given the polar equation of the conic with focus at the origin, identify the eccentricity and…

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Q: Find a polar equation for each conic.For each,a focus is at the pole. e=6; directrix is parallel to…

A: Focus is at pole, e=6 and directrix is parallel to the polar axis 2 units below the pole. Equation…

Q: 4. Find a polar equation in the form r = f(0) of the ellipse with eccentricity e = - such that one…

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Q: а) Given a pair of parametric equations x =1-2t, y =r +4. i. Eliminate the parameter of t to obtain…

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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: 10. Given the polar equation r = 243 cos e* a) find the eccentricity, b) identify the conic form, c)…

A: As per as our guideline i am supposed to answer remaining only three part of this question please…

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: Find a polar equation for each conic.For each,a focus is at the pole.e=1 directrix is parallel to…

A: Suppose d be the distance of the directrix, e be the eccentricity, then the polar equation for each…

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: 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: 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: Question 14 – 15, find a polar equation of a conic with the focus at the origin and the given data.…

A: Find equation of comic section.

Q: 5) a) Find the eccentricity, b) identify the conic, c) give an equation of the directrix & d) Sketch…

A: Concept: We know that a conic section is defined as the locus of a point that moves in such a way…

Q: 1. Given the following polar equations, find the eccentricity and identify the type of conic; write…

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Q: An equation of a conic is 5 r = 3+2 sin 0 Identify the conic, find the eccentricity, write an…

A: A conic section with a focus at the origin, eccentricity e, and directrix at x=±p has polar…

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

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

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Q: 10. Given the polar equation r = cos gi a) find the eccentricity, b) identify the conic form, c)…

A: If the equation of the hyperbola is of the form (x−h)2a2−(y−k)2b2=1, then the center is at h, k and…

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: Find a polar equation for each conic.For each,a focus is at the pole. e = 2/ 3 ; directrix is…

A: Consider that the conics has focus at the pole, eccentrcity e=23 and directrix parallel to the polar…

Q: Consider the equation below. 11 9 + 3 cos(0) (a) Find the eccentricity. e = (b) Identify the conic.…

A: Given equation: r=119+3cosθ   Concept used: The standard equation of conics in polar form:…

Q: For the equation 9 r = 6+2 cos 0 (a) find the eccentricity, (b) identify the conic, (c) give an…

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Q: (b) Given ra 1-2 sin 0 equation of the conic Find the distances from the pole to the vertices and…

A: The given polar curve is  r=41-2sinθ. To Find: Distance from the poles to the vertices. To Find:…

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

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Q: 4 r = - 5– sin 0

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Q: Answer the questions for the following polar equation. 3 r 3= 3+10cos0 (a) Identify the conic as a…

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

A: (a) part Consider the given polar equation r=23-2 cosθ Or the given polar equation also can be…

Q: Given the following polar equations, find the eccentricity and identify the type of conic; write an…

A: According to company guidelines, since you have posted two questions, so I'll solve the first…

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: A conic is given by 1 r = 1+2 cos 0 (a) Find the equation of the conic in rectangular coordinates.…

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Q: D. Given the following polar equations, find the eccentricity and identify the type of conic; write…

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Q: 10. Given the polar equation r =cos e, a) find the eccentricity, b) identify the conic form, c) give…

A: Given

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

A: To find the polar equation for the conic described

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

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

A: Given:- r = 1/(2+sinθ)  To find:- Eccentricity, type of conic, equation of directrix

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

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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: The eccentricities of conic sections with one focus at the origin and the directrix corresponding to…

A: e=2,  r=-2secθ Since e>1, therefore the conic is a hyperbola. Now consider the directrix,…

Q: Which of these is the polar equation of a ellipse with eccentricity , and directrix æ = 5? Select…

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Q: For the equation r = directrix, and the eccentricity. 2–2 sin 6 » identify the conic with focus at…

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Q: Convert the given polar equation to a Cartesian equation. r= 6.cos(e) In Cartesian, this equation is…

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Q: Find the polar equation of the elliptical orbit of the planet Neptune and the perihelion a = 4.495 ×…

A: The formula of the polar equation of the elliptical orbit is, r=1-e2a1-ecosθ where a is major axis…