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

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

A: Given ellipse is centered at origin and have length of horizontal axis is 2a and length of vertical…

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: a) As trigonometry, 0 is negative when measured b) The polar coordinate of the point (2,4) and…

A: In trigonometry, when the angle θ is measured counter-clockwise, θ is positive.

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…

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: Identify the conic the polar equation represents and give the position of the directrix. 1 1-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: A conic is given by r = 2 – cos 0 (a) Find the eccentricity and identify the conic. (b) Find the…

A: Compare with standard equation in polar then find e and using conditions of e determine the conic

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

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

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

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Q: Graph the line and conic section. r = 8/(4 + cos u)

A: Graph the line and conic section. r = 8/(4 + cos u)

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

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Q: The polar equation of a conic section, whose eccentricity e = 5 and the directrix x = 7 is 35 r= 1-5…

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Q: Write the equation for the ellipse rotatedπ6 radian clockwise from the ellipse r = 8/(8 + 5 cos) .

A: Given the equNoNow, When wation of the ellipse: r=88+5 cosθ

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: ) Find a trig. identity that will help you eliminate t. This will be one-half of a familiar conic,…

A: In the given equation, the concept of a trigonometric function is applied. Trigonometric Functions…

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: Identify and draw the conic r(2 + sin 0 ) = 6.

A: In this question, we have to identify the conic and draw it.

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: Identify the conic of r 1 cos0 Answer.

A: Topic:- algebra

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: 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: 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: Consider the following. 10 7 +7 cos(0) (a) Find the eccentricity. Identify the conic. C parabola C…

A: Given:

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: 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