Find a polar equation for the conic section with one focus at the origin, along with the given eccentricity and directrix. 1 e = X = - 8 3 The polar equation is (Type an equation using r and 0 as the variables.)

Q: Given a pair of parametric equations x = 4t - 5, y= 2t + 3. i. Eliminate the parameter of t to…

A: Given parametric equations are: x = 4t^2 - 5  .....................  (1) y = 2t + 3…

Q: (c) Starting with the standard equation for this ellipse in rectangular coordinates, convert to…

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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…

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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: 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: (b) Given r=- 4 1-2 sin 0 equation of the conic in rectangular coordinates. Sketch the conic. Find…

A: given r=41-2sinθ find the distances from the pole to the vertices and then find the equation of the…

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

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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: 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 a hyperbola with the focus at the origin, with the eccentricity 2…

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

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

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

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Q: Consider this conic in polar form. r = 2 – 4 cos 0 a) Find the eccentricity and identify the type of…

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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: (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: Identify the conic the polar equation represents and give the position 3. e uis 9+ Is the directrix…

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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: Consider the equation below. 4 5 - 20 cos(0) (a) Find the eccentricity. e = (b) Identify the conic.…

A: Given: The equation is r=45-20cosθ

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

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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: 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: Identify the conic the polar equation represents and give the position of the directrix. 4. 2+6 sin…

A: Given that        r = 4/(2+6sinθ) Here we have to find how far is the directrix from the pole.

Q: Find the polar equation of the elliptical orbit of the planet Saturn and the perihelion a = 1.434 ×…

A: The polar equation of the elliptical orbit is r=(1-e2)a1-ecosθ, where e is the eccentricity, the…

Q: Exercises 19–22 give the eccentricities of conic sections with one fo- cus at the origin of the…

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

A: We know that the polar form of a conic with directrix x=±p and the focus at origin has form:…

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…