For Exercise, determine the eccentricity of the ellipse. | (x + 7) y 12 18

Q: Find the length of the directrix of an ellipse x2/16 + y2/9 = 1

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Q: 3. What is the length of the minor axis of the ellipse given by the equation s + = 1? %3D 169 64…

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Q: What are the foci of the ellipse? 49 42 O (2+ v7, 1) o (2+ 7, -1) o (tyī, 1) o (12/7, - 1)

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Q: what is the length of the minor axis of the ellipse given by the equation x^2/169 + y^2/64 = 1 1.…

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Q: What is the equation for the parabola below in terms of its focus and directrix? y = _____

A: Given: equation of the parabola

Q: Use the Distance Formula to write an equation of the parabola with focus F (0, – 11) and directrix y…

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Q: Y The following ellipse represented by X

A: Given: Ellipse is given we have to represent the equation.

Q: Find the equation of an ellipse whose minor axis is 6 and whose foci are located at (+8, 0). y? 9.…

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Q: Find the standard form of the ellipse given below in general form. x2 – 2x + 4y2 + 24y + 33 = 0

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Q: Given the ellipse below, determine the coordinates of the foci. Enter the coordinates as ordered…

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Q: Write the equation of an ellipse centered at (1, -2) whose minor axis has length 6 and horizontal…

A: We can find the equation of ellipse using the given data as below.

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: For Exercise, write the standard form of an equation of the ellipse subject to the given conditions.…

A: Given:The minor axis of the ellipse is parallel to x axis.Center (2, –4)Length of major axis, 2a =…

Q: Find the possible values of the real number b so that a dA = 18. where D is the ellipse (x – 1)2 (y…

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Q: (e) Evaluate y" for the ellipse ba? + a²y² = a²b³.

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Q: Which point or points on the ellipse x? +4y? = 4 are furthest away from the point (0, 1)?

A: The Equation of the given ellipse is, x2+4y2=4 Let the furthest away point on the ellipse, from the…

Q: for the ellipse, 4x^(2)+y^(2)+24x-2y+21=0, find the center.

A: 4x2+y2+24x-2y+21=0

Q: Use a graphing device to graph the ellipse.

A: We have to draw the graph of ellipse: x2+y212=1 We know the standard form of equation of ellipse,…

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: What is the directrix of the parabola? (x – 4)? = 8 (y + 3) O x = -3 O y = -3 y = -5 x = -5

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Q: The figure on the right shows a rhombus centered at the origin, with YR= 8p and PQ - 8s. What are…

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Q: The parabola y2 =-14x has it's focus at the point (b,0) where b is?

A: The standard equation of parabola for this condition is y2=-4ax here  Focus (-a, 0)   Now, we have…

Q: Determine the standard equation of ellipse and find its center,foci,covertices and vertices and…

A: The standard equation of the ellipse is: x-h2a2+y-k2b2=1 Where; center: h,k Where, a,b is the…

Q: . Given the equation of the ellipse, 25x2 + 4y? = 100. a.) Evaluate the equation of the diameter of…

A: Equation of diameter and tangent

Q: For Exercise, write the standard form of an equation of the ellipse subject to the following…

A: Write the standard form of an equation of the ellipse whose;

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

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Q: For Exercise, write the standard form of an equation of the ellipse subject to the following…

A: Given: write the standard form of an equation of the ellipse subject to the following…

Q: (b) Find the evolute of the ellipse x2 y? =D1

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Q: A wire has a shape of an ellipse described by 4r2 + y? = 8. The tempe

A: Given, a wire has a shape of an ellipse described by                                    4x2+y2=8.…

Q: Given the ellipse x2/36 + y2/32=1. Determine the distance between foci.

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Q: Convert the equation to the standard from for an ellipse by completing the square on x and y. 4x2 +…

A: To transform the given equation to the standard equation of the ellipse, with center (0,0) , and…

Q: for the ellipse, 4x^(2)+y^(2)+24x-2y+21=0, find the equation of one of the directrices

A: GivenEquation of ellipse4x2+y2+24x-2y+21=0To calculate: Equation of one of the…

Q: NSWER. a. Find all the parts of the ellipse and plot ellipse with the equation.

A: Introduction: An ellipse is a closed curve defined by its foci and stretched shape along its…

Q: (-3x) dxtxdy C is part of the ellipse 5x2+6y=30 fromC0,-V5) to cra,O). X,

A: Line integral Given ellipse is  From .

Q: Given the ellipse below, determine the direction of the major axis and its length. y? 1 100 4…

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Q: Illustrate the coordinates of an ellipse  passing through (h,k) show your complete solution  (…

A: Given information: The equation of the ellipse is (x-3)24+(y+1)29=1. Concept Used: The general…

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: What are the foci of the ellipse? (z-2)² (g+1) =D1 49 25 o (2+2V6, 1) o (12v6, 1) o (12/6, - 1) o…

A: Given equation of an ellipse is (x-2)249+(y+1)225=1

Q: What is the length of the minor axis of the ellipse: 5(x+2)2+(y-0.1)2=125? a. 8 units b. 12 units…

A: Given the length of the minor axis of the ellipse 5(x+2)2+(y-0.1)2=125. Let us convert the equation…

Q: For Exercise, determine the eccentricity of the ellipse. (y – 3)? 1 12

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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: Use the equation of ellipse to determine if a truck can fit through a semi-elliptical archway. The…

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Q: for the ellipse, x^(2)+y^(2)+24x-2y+21=0, find the center

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Q: Write an equation for the hyperbola that has foci at (0, v65) and (0, - v65), and asymptotes y =…

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Q: find the general form of an ellipse. The sum of the distances from the two foci (-5,0) and (5,0) is…

A: This question is based on ellipse equation.

Q: Evaluate –dz , where C is the ellipse 4x² + 9y? = 1. %3D Yc z2 – 3z+2

A: Given: The equation: ∮C z3 + z + 1z2 - 3z +2dz Here C - ellipse of 4x2 + 9y2 = 1

Q: What is the distance from the center to the foci of the ellipse given by (2-3) (y+5) 26 1? 10

A: Please refer the attached image for complete solution. THANK YOU.