10. Find the center, vertices, foci, and eccentricity of the ellipse. Determine the lengths of the major and minor axes, and sketch its graph. 36x2 + 9y? = 324

Q: Find the vertices and foci of the ellipse. Determine the lengths of the major and minor axes, the…

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Q: Sketch the graph and find the foci of the given ellipse 25x squared + 4y squared=100

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Q: In the given equation as follows , find the center, foci, vertices, and eccentricity of the ellipse,…

A: The given ellipse equation is (x+4)2+(y+6)214=1

Q: Find the center, foci, vertices, and eccentricity of the ellipse 3x2 + 7y2 = 63, and sketch its…

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions.…

A: Given : vertically oriented ellipse as foci is (0, -7) and (0, 7)  To find : Equation if ellipse

Q: 5. Find the Foci and Vertices of the Ellipse and sketch it, if the Equation is 16x? + 64y? = 256

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

Q: Find the standard form of the equation of the ellipse and give the location of its foci.

A: Consider the given figure: It is an ellipse with center origin.

Q: What is the length of the minor axis of the ellipse given by the equation = 1? 169 64 O 64 units O…

A: The equation of the ellipse is given by x2169+y264 = 1…

Q: Find the standard form of the equation of the ellipse and give the location of its foci.

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Q: (y + 6)? - = 1 1/4 28. (x + 4) +

A: Please refer the attached image for complete solution.

Q: 20. Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x^2 +…

A: Given that: 20.9x2+16y2-144=021.y=x(x+1)3 22. Area of rhombus=24 sq. units. One diagonal=6 units.…

Q: Find the center, foci, vertices, and eccentricity of the ellipse 16x2 + y2 = 16, and sketch its…

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Q: 32) Find the equation of the ellipse described. Center at (3,2); Focus at (3,5); Vertex at (3,7)

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Q: 5. Find the vertices and foci of the ellipse given by the equation. 4x +9y² - 32x–36y+64=0

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Q: x? Let 25 y? 1 then find the end points of the minor and major axis for the graph of this ellipse.

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Q: Graph the ellipse and give the location of its foci.

A: We have the given equation as (x-4)24+y225=1 It can also be written as (x-4)24+(y-0)225=1   the…

Q: 27x2 + 9y2 - 81 = 0 %3D

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Q: Find the center, foci, vertices, and eccentricity of the ellipse                               x2 +…

A: Given  The equation of ellipse is x2 + 10y2 − 6x + 20y + 18 = 0 .

Q: 7) Find the center, foci, and vertices of the following ellipse. Graph the equation. (x + 4)2, (y +…

A: Given ( x + 4 )29+( y + 2 )29=1                        --------------(1)The standard form of the…

Q: Graph the ellipse and give the location of its foci.

A: Consider the provided ellipse, x225+y-2236=1 Graph the ellipse and give the location of its foci. We…

Q: b) For the ellipse 9x+ 2y2 18, find the vertices ,foci, semi major and semi minor axes, and sketch.

A: Given:          9x2+2y2=18 Ellipse standard equation        x-h2a2+y-k2b2=1 is the ellipse standard…

Q: 3. Write the equation of the ellipse plotted below. What are its foci, F, and F2. Show your…

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Q: The foci of the ellipse with given equation y2 = 1 are 36 x2 25

A: The given ellipse has mjor axis along y axis.

Q: 14.) Find the center, foci, vertices, and eccentricity of the ellipse, and sketch the graph of (x –…

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Q: • You will not receive credit if you submit your assignment late. P 1. ( Find the center, foci, and…

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Q: Sketch and determine the center, foci and vertices of the ellipse with an equation of x? (y-4)? = 1.…

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Q: Find the equation of the ellipse in general form given the conditions: The foci is 3 units to the…

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Q: 23. Find the foci of the ellipse. 3D1 169 144

A: Given equation is x2169 + y2144 = 1 ; x2a2 + y2b2 = 1  so, a2 = 169 and b2 = 144 c is the distance…

Q: Find the center, vertices, foci, and eccentricity of the ellipse.

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Q: 4. Find the center, vertices, and foci for the ellipse. Graph by hand. (x – 3)2. (y + 1)² : 1 4 9

A: The standard equation of an ellipse is given by: (x-h)2a2+(y-k)2b2=1   Here, (h,k) is the center of…

Q: 5. Find the Foci and Vertices of the Ellipse and sketch it, if the Equation is 16x? + 64y? = 256 %3D

A: see the calculation

Q: Find the vertices and foci of the ellipse. Determine the lengths of the major and minor axes, the…

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Q: 2. Identify the coordinates of the foci, vertices and covertices of the ellipse x2 y2 with equation…

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Q: etermine, the foci, the vertices, and the equation of the ellipse that has a center C (4.4), a…

A: In this question, equation of ellipse is to be determined. Ellipse An ellipse is a collection of…

Q: Given the following information, write the equation of the ellipse. Sketch and find the foci.…

A: Solution is given as below:

Q: How are the graphs of these ellipses similar, and how are they different? y? = 1 y? 1 36 144 36 144

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Q: 3. Discuss the graph of the ellipse with foci at (2,3) and (2,–1) and an endpoint of the minor axis…

A: The foci of the Ellipse are F1(2, 3) & F2(2, -1), which lies on the line x=2. So the major axis…

Q: Graph and determine the coordinates of the foci, the vertices, the straight side and the…

A: x2+2y2-2x+8y+5=0⇒x2-2x+2y2+8y=-5⇒x2-2x+1+2y2+4y=-5+1⇒x-12+2y2+4y+4=-4+8⇒x-12+2y+22=4⇒x-12+2y+224=1⇒x…

Q: 19. State whether the graph of the equation below is an ellipse, circle, parabola, or hyperbola. 2x…

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Q: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci.

A: x-3216+y+429=1 Comparing with x-h2a2+y-k2b2=1, we get h=3,  k=-4,  a2=16  &  b2=9⇒h=3,  k=-4,…

Q: 4.Find the equation of the ellipse with foci (0, ± 8) and with endpoints (0,± 10)

A: Ellipse can have major axis along the x-axis or the y-axis. For ellipse with major axis along the…

Q: 30. x2 + 10y 6x + 20y + 18 0

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Q: Graph the ellipse given below by dragging the vertices and co-vertices to the correct locations.…

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Q: 6. Find the center, vertices, and foci of the ellipse given by the equation 16 x2 (y+2)? = 1. - 49

A: Given Data: The equation of the ellipse is: x216+y+2249=1 ......1 The general equation of the…

Q: x2 y? + = 1 36 49

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Q: Graph the ellipse and give the location of its foci.

A: x+329+y-22=1⇒x--3232+y-2212=1 Now comparing with x-h2a2+y-k2b2=1, we get h=-3,  k=2,  a=3  &…

Q: 4. Write the standard form of the equation of the ellipse given below by completing the square. 9x?…

A: The equation of an ellipse is given by 9x2+4y2+36x-8y+4 = 0

Q: 3) Find the equation for the ellipse that has vertex at (9, -1) and foci (0, -1) and (8, -1).

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Q: Find the center, foci, vertices, and eccentricity of the ellipse…

A: 9x2+4y2+36x-24y-36=0⇒9x2+36x+4y2-24y=36⇒9x2+4x+4y2-6y=36⇒9x2+4x+4+4y2-6y+9=36+36+36⇒9x+22+4y-32=108⇒…

Q: 10

A: by given graph we can see that center of ellipse is 5,-3, length of major axis is 8 and length of…