A polar conic section Consider the equation r2 = sec 2θ.a. Convert the equation to Cartesian coordinates and identify the curve.b. Find the vertices, foci, directrices, and eccentricity of the curve.c. Graph the curve. Explain why the polar equation does not have the form given in the text for conic sections in polar coordinates.

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

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A: Given data: *The polar equation is r=31+cosθ   The general formula of the conic section is given by:…

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Q: Eliminate the parameter 0 in the following parametric equations. (This curve is called a hyperbola.)…

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

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Q: Consider the conic with polar equation. a) Find the eccentricity and identify the type of comic.…

A: (a) Rearrange the given equation in polar form to find the eccentricity and the type of the conic.…

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

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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…

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Q: A graphing calculator is recommended. A polar equation of a conic is given. r = 4 - 3 cos(0) (a)…

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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: 4. Find the distance from the pole to the vertices, and then find the equation of the ellipse in…

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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: Solve, a. Identify the conic section that teh polar equation r = 12/(2 - 4cos θ) represents. b.…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

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 a Cartesian equation for the curve.

A: By using convertion formula for converting polar coordinates in to Cartesian coordinates. We can…

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

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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: 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: 9 Given the polar equation of a conic section r =- complete the following: 3+6cos 0 a. Convert the…

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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: Consider the following three equations: A) r= 6/(3+2cos(theta))

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: a. Identify the conic section that the polar equation represents. b. Give the location of the…

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Q: a. Identify the conic section that polar equation r =3/(1 + sin θ)represents.b. Describe the…

A: a. Identify the conic section that polar equation r =3/(1 + sin θ)represents.b. Describe the…

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

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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: 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