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

Q: Find a polar equation for the conic Parabola with its focus at the pole and the vertex (2, π/2)

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Q: Find the equation of the line tangent to the hyperbola x + 2xy - y + x = 5 at the point (3,7)

A: Given,            x2+2xy -y2+x =5 and point (3,7)

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

A: Rearrange the terms to get the standard form

Q: 3. Find the equation in xy coordinates for the conic section that satis following conditions:…

A: Given that: 3. e=45,   centre = (-3, 2) and vertex (2, 2) NOTE: As per our answering guidelines, we…

Q: Find the equation of the conic of major axis on the x-axis, the center at (0,0) passing through (2,…

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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: 9. Find equation (in an Rectangular) for the conic that satisfies the given conditions: Parabola…

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

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

Q: 8. Determine the Equation of the Hyperbola if the Transverse Axis is 8 and the Foci are at (0, ±6)

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

A: The equation of the conic is x2 + 10x -3y = -13.

Q: write the standard form equation for the conic with center at (-8,14), vertices at (-1,14) and…

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

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Q: Identify the conic represented by equation x2 - 2xy + 3y2 + 2x + 4y - 1 = 0 without using a rotation…

A: if ab is greater than h^2 then conic is ellipse.

Q: If you are given the standard form of the polar equation of a conic, how do you determine the…

A: Consider that standard form of the polar equation of conic: Determine the location of directrix from…

Q: Determine the equation (both standard and general) of the following conic sections based on the…

A: To find the equation of the conic sections with the given conditions

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

A:

Q: Find a polar equation for the conic Parabola with its focus at the pole and the eccentricity e = 1…

A: Focus is at pole and the eccentricity e=1 and directrix x=5. The equation of the parabola with…

Q: Find parametric equations for an object moving clockwise along the ellipse 25 -1 beginning at (0,2)…

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Q: 18 Identify the center of the conic section whose equation is 5x 2 + 9y 2 - 80x + 54y + 221 = 0…

A: Solution is here

Q: What is the relation of conic section to the wall clock?

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Q: Find the focus equation of the directrices, length of major axis, minor axis and focal diameters and…

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Q: Find an equation for the conic section with the given properties. The hyperbola with foci F1(3, -5)…

A: We have to find the equation of the conic section.

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

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Q: Find a polar equation for the conic Ellipse with its focus at the pole and the eccentricity e = 3/4…

A: Focus of the ellipse is at the pole. Eccentricity is e=34. Directrix is y=-2. Comparing the…

Q: entify the coni

A: Given,           x2+16y2-160y+384=0

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: 9. How can you determine the type of conic section represented by an equation in general form?

A: How can you determine the type of conic section represented by an equation in general form ?

Q: If you are given the standard form of the polar equation of a conic, how do you determine its…

A: For a conic with a focus at the origin, if the directrix is x=±p, where p is a positive real number,…

Q: identify the conic section. Find the vertices and foci.

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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 the type of conic section whose equation is given. 3x2 = y + 3

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Q: Find the Differential Equation of the Family of Ellipses with its center at the origin.

A: Here is the solution:

Q: Find an equation for the conic that satisfies the given conditions. Ellipse, foci (±2,0) , passing…

A: Given problem is : Find an equation for the conic that satisfies the givenconditions. Ellipse, foci…

Q: Find an equation for the conic whose graph is shown. y F (6, 0)

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Q: Which is the corresponding equation of the hyperbola with foci located at (-8, 0) and (8, 0) and a…

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Q: Find parametric equations for an object moving clockwise along the ellipse 16 = 1 beginning at 25…

A: Given equation of ellipse is x216+y225=1 ..............(1) It is required to find the parametric…

Q: Find parametric equations for an object moving clockwise along the ellipse 25 =1 beginning at (0,4)…

A: For the solution follow the next step.

Q: Find parametric equations for an object moving clockwise along the ellipse 25 = 1 beginning at (0,2)…

A: Given: x225+y24=1   By comapring given equation with general form (x-h)2a2+(y-k)2b2=1h=0 and k=0…

Q: Find an equation for the conic whose graph is shown: yA Directrix y = -12

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

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Q: Find parametric equations for an object moving clockwise along the ellipse (x2/16)+(y2/9)=1…

A:

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

A:

Q: Find the equation of the conic of major axis on the x-axis, the center at (0,0) passing through (2,…

A:

Q: Determine the center of the conic of equation: 16x² + 128r + 49y² + 588y = -1236. A) (4,6) В) (-4,…

A: Brief explanation of the answer is below.

Q: Which is the corresponding equation of the hyperbola with foci located at (−8, 0) and (8, 0) and a…

A: Given data is : Foci are -8,0 and 8,0 The transverse axis is 14 unit