Find the equation of the ellipse with foci and 0, and vertices (0, - 2) and (0,2). O x? y2 1 4 %3! O 4 1 4 4 4 17 1 4 O x? + 4 1 15 - II II II

Q: Find the standard form of the equation of the specified ellipse. 20. Vertices: (0, ±6): Foci: (+4,…

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Q: Find the foci, vertices and center of the ellipse x2 + 2Y? + 2X - 8Y + 1 = 0

A: Given: x2+2y2+2x-8y+1=0 for finding foci, vertices and center of the ellipse, first we convert given…

Q: Which is the constant sum of an ellipse with foci F,(-2, 3) and F, (5. – 1) and the point on the…

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Q: Find the equation of tangent lines to the ellipse parallel to the line y =3. The equation of ellipse…

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Q: b. Find all the parts of the ellipse and plot the graph of the ellipse with the equation. (x-2)² ¸…

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Q: 2. Graph the Ellipse and find the Center, Vertices, and Foci, 10- (x – 1)2, y- 3)² = 1 25 4 Center:…

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Q: The ellipse with the given equation is centered at x² +9y² + 3x - 18y + 9 = 0 3 9 (²/₁₁) (²17,¹1) 2…

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Q: Graph the ellipse and identify the vertices and the foci. 9x2+y2=18 Vertices : (0,3/2 ), (0 , -3v2…

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Q: 20. Which is the equation of an ellipse? a) 25 y² 3D1 16 b) x2 + y2 =1 %3D c) 25 x² y2 =D 1 %3D 16…

A: 20)

Q: (x – 6)? (y – 4)? = 1 Given the ellipse 4 25 Find the center point: (6,4) List the four vertices:

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Q: II. Solve the following problems. Find the equation of an ellipse with center at (-2,2), a vertex at…

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Q: 6. What is the equation for the slope of the ellipse+= 1 at (x₁, yi)? A. B. C. D. E. y' = y' = b²y₁…

A: We have to find the equation of the slope of ellipse at the point (x1,y1).

Q: Graph the ellipse and identify the vertices and the foci. 9x2+y2=18 Vertices : (0,3/2 ), (0 -3V2),…

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Q: 18. Which of the following equations represents an ellipse with horizontal minor axis? A 득+ 16y2= 16…

A: Solution

Q: Which equation does not represent an ellipse? A (x + 1)² (y – 5)² = 1 3 7 B +-1 C 25x² + y² + 150x…

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Q: 2x2 + 3y2 – 12 = 0 - 24 1 44 200 12 14 14 15 14 24 erom 22 24 24 O y=vC(12-2x*2)/3) O…

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Q: Q: Find the equation of the ellipse x² + 2x + 4y2 - 24y = -32, then find the vertex, length of the…

A: We are given the equation of ellipse to be x2+2x+4y2-24y=-32. Now, we can simplify the above as the…

Q: Find the equation of the parabola y = ax? + bx + c passing through the points (0, 6), (- 2, 2), and…

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Q: O 4. Write an equation in standard form for the ellipse given by the equation 9x? + y? – 36 = 0. O…

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Q: 4+y 2 -6 -5 -4 -3 -2 -1 1 2 3 4 -2 -3 -4 x? Identify a and b for the ellipse with equation y? = 1.…

A: We have to find

Q: (z – 6)? (y – 5)? = 1 Given the ellipse 16 Find the center point: List the four vertices:

A: Given that the ellipse, x-629+y-5216=1 To write the standard equation of ellipse, x-h2a2+y-k2b2=1…

Q: 47 Find the standard form of the equation of the ellipse with the given char (x – 3)² (y – 2)² = 1 x…

A: Standard form of the ellipse

Q: Find an equation of the Ellipse that has Foci (-1,-2) & (7, -2) and vertex (8, -2). (a-3)2 (y+2)? 1…

A: We need to find equation of ellipse.

Q: 9x2 + y2 + 108x - 8y + 331 = 0  Graph the ellipse and determine the foci.

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Q: Identify the center, the vertices, and the foci of the ellipse. (x+2)? -6)2 =D1 25 36 Center : (-2,6…

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Q: Find the center of the ellipse with the equation 49 (x-3)2 (y-2)? 64 1. ||

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Q: Find the equation of the ellipse satisfying the given conditions. Write the answer both in standard…

A: We have to find the equation of the ellipse and write it in the given form.

Q: Find the standard form of the equation of the specified ellipse. 16. Vertices: (0, +7); Foci: (±3,…

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Q: (y – 5)² = 1 4 (x – 3)² Given the ellipse 16 Find the center point: List the four vertices:

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Q: Find the coordinates of the foci for the following ellipse (Y+8)²/81 +(x-1)²/49

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Q: Find the center, vertices, and foci of the ellipse. Simplify your answers as much as possible. (x –…

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Q: 4x2 + 80x + y2 + 10y + 325 =0  Graph the ellipse and determine the foci.

A: The solution of the problem is given in the next steps.

Q: (x-1)° , (y+5)² 2) Graph the ellipse 4 =1 9 +

A: The equation of the ellipse is given by x-124+y+529 = 1 To evaluate : The graph of the ellipse.

Q: (x+2)? Consider the ellipse whose equation is given by + (y+ 5)2 = 1. 25 What are the coordinates of…

A: Coordinates of vertices are:-

Q: W 2. What is the equation of an ellipse with its center at (-2, 1), a major axis 16 units long, and…

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Q: (x – 2)2 (y – 4)² 1 9. 25 defines an ellipse with center ( ). The major axis has length and the…

A: The standard form of the equation of an ellipse having vertical major axis is

Q: Identify the center, the vertices, and the foci of the ellipse. x2 (v +5)? _ =1 32 8

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Q: (x – h)? (y – k)? 1. - Identify a and b for the ellipse with equation a? 62 a = b = h = k = 2, I|||

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Q: Solve the equation for an ellipse for y. Assume that y > 0. y? x? 1 y = a? |1- y = Ja? | 1+ y = Ja?…

A: The square root function always give positive output. fx=x is always positive.

Q: Which are the foci for the hyperbola modeled by the equation (Y-32 (x-1)² _ -1? 36 13

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Q: Find the equation of the major axis of the ellipse x? +4 y? - 6 x - 24 y = -36 Select one: O y= 0 O…

A: First of all we will write the equation of ellipse in standard form.

Q: Find the end points of the minor and major axis for the graph of the ellipse (x – 2)? (y – 5)? + = 1…

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Q: (x – 2)? (y – 5)? 1 Given the ellipse 16 Find the center point: (2,5) List the major vertices…

A: Given the ellipse x-229+y-5216=1To find the center point.To list the major vertices.

Q: Use the information provided to write the standard form of the equation of the ellipse. Vertices:…

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Q: (y + h)? (x + k)? = 1 whose vertices: (- 2,-4), (-2, 6)and foci: (-2,-5),(-2,7) Now find the 62…

A: Explained below

Q: 18. Which of the following equations represents an ellipse with horizontal minor axis? A.+ 16y? = 16…

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Q: Which equation represents the ellipse with vertices located at (3, -3) and (3, -13) and foci at (3,…

A: Answer

Q: Identify the center, the vertices, and foci of the ellipse. (x-5)2 (v –1)? =D1 %3D 8 32 Center :…

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Q: Which equation represents the ellipse with vertices located at (3, -3) and (3, -13) and foci at (3,…

A: Ellipse

Q: The equation of the hyperbola whose foci are (-2,0) and (2,0) and length of transverse axis is 2 is…

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