Find an equation in rectangular coordinates of the conicr = 16/5 + 3 cos θHint: Use the results of Exercise 60.

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

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

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Q: Find the eccentricity, the type of conic, the directrix, and sketch a graph: r = (3) / (1 -…

A: Let's find.

Q: Find the parametric equations for the ellipse y2 + 4x2 - 2y + 4x + 1 = 0. Hint: Use completing the…

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Q: Find the eccentricity and the distance from the pole to the directrix of the conic. Then identify…

A: The standard form of the polar equation for a conic is  r=ep1±ecosθ Where e>0 is the eccentricity…

Q: Use the parametric equations of an ellipse, æ = 2 cos(0), y = 5 sin(0), 0 < 0 < 27, to find the area…

A: Given :  x=2cos(θ), y=5sin(θ),  0≤θ≤2π The area under the curve can be written as:…

Q: Graph the line and conic section. r = 8/(1 - sin u)

A: We can convert this into rectangular form. Then,…

Q: Determine the type of conic, angle of rotation needed to eliminate the XY-term to the nearest degree…

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Q: Rotate the coordinate axes to remove the xy- term, then identify the type of conic and sketch its…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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

A: e=32 , x=-4

Q: equation

A: Please refer to the image below

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: Find the standard form of the equation of the conic section satisfying the given conditions:…

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Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.xy + 1 = 0

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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: r = 2– sin(0)"

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

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

Q: Find the equation of the conic with focus at the origin, eccentricity e and the directrix y = d.

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

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Q: Find the constants a,b,c for the conic r = 120 5+ sin 0 Sketch the conic.

A: As per the question we are given the polar form of a conic, and from that we have to find the…

Q: Use the parametric equations of an ellipse, D=5 cos(@), y - 4 sin(6), 0 O 27, to find the area that…

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Q: Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated…

A: Since,  This implies,  Since the coordinate axes are rotated through  , so equation of x and y can…

Q: Identify the conic section given by the following equation. æ? + 30x – 4y? – 168y – 1639 - Select…

A: Please refer the attached image for complete solution.

Q: Find an equation of the conic in the rotated coordinates, and find the angle of rotation. 7x2 + 8xy…

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Q: determine the equation  of the conic of foci (1,-2) and (5,-2), and eccentricity e=2/3

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Q: Find an equation in rectangular coordinates of the conic r = 16/5 + 3 cos θ

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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: Find a polar equation of the conic in terms of r with its focus at the pole. Conic Parabola Vertex…

A: Here, the given vertex of the parabola is (12, π/2). As θ = π/2, the vertex is on the Y axis. The…

Q: Identify the conic with the given equa­tion and give its equation in standard form…

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Q: What does the eccentricity reveals about the conic?

A: We have to define what eccentricity reveals about the conic

Q: Find the equation of the following conic in GENERAL form. 1. Circle that is tangent to the lines…

A: Consider the equation of the circle is x-h2+y-k2=r2 where h, k is the centre and r is radius. It is…

Q: Graph the image of trapezoid ABCD after a rotation 270° counterclockwise around the origin. 104 4.…

A: We have to find new figure after 270 degree clockwise rotation.

Q: Find the type of conic represented by the equation of the curve given by C=21 - 6xy+29y +6x-…

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Q: Identify the conic of r 1 cos0 Answer.

A: Topic:- algebra

Q: Use the parametric equations of an ellipse, x = 2 cos(8), y = 3 sin(8), 0 < 0 < 27, to find the area…

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Q: find the polar equation of the conic with the given eccentricity and directrix, and focusat the…

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Q: Identify the type of conic section from the equation: y^2 - 4y - x^2 6x =12

A: We have been given the equation  y2-4y-x2+6x=12

Q: Identify the conic represented by the equation 3 r = 1- cos(0) ellipse parabola O hyperbola

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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&amp;ep=12⇒1p=12⇒p=12 Since…

Q: Find the focus, orientation and external conic x?_2ny +y?+2xbys3Q 1. center of the

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Q: (a) What is the eccentricity of a conic section?

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Q: Eliminate the parameter to relate the variables directly in the parametric set of equations and…

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