Determine the eccentricity of the ellipse given by 9x² + 16y² – 72x + 64y – 368 = 0 0.88 0.60 1.51 O 0.66

Q: 3. Find the coordinates of the foci of the ellipse given by the equation 4x² + y? = 64. O (0, 4v3)…

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Q: What is the length of the minor axis of the ellipse 4x² + 32x + y² – 4y + 52 = 0? 0 4/3 0 4 0 8 O 45

A: Topic = Ellipse

Q: What is the eccentricity of an ellipse 9x2+y2+18x-12y-180=0

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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: Find the standard form of the equation of the specified ellipse. 19. Foci: (0, –4). (-4, – 4); Major…

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Q: (x – 4)² (y – 3)² - Identify the eccentricity of the ellipse, = 1 36 196 a) .904 b) .535 c) .553 d)…

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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: Which of the following is the standard equation of the ellipse with vertices at (1.0) and (11,0) and…

A: I am attaching image so that you understand each and every step.

Q: Find the standard form of the equation of the ellipse with the given characteristics. Foci: (0,0),…

A: Since foci lie on y-axis, so the ellipse is of type where (h,k) is center of ellipse and 2a is…

Q: Write an equation for the ellipse centered at the origin with a major axis 14 units long with…

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Q: Use the properties of an ellipse to show that your equation from question 3 has the appropriate…

A: An ellipse is the set of all points (x,y) in a plane such that the sum of their distances from two…

Q: Identify the conic section given by the following equation. x² + y² = 78x – 84y – 3116 - Select the…

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Q: Find the dimensions of the largest rectangle with sides parallel to the axes that can be inscribed…

A: Let the dimension of such a rectangle be 2x by 2y. Clearly (x, y) is point on the ellipse.

Q: The equation x2 + xy + y² = 1 determines an below. ellipse in the xy-plane shown

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Q: Find the standard form of the equation of the ellipse and give the location of its foci. Q ← 12 Ay ✔…

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Q: Calculate ne4x+16y° dx dy, where D is the interior of the ellipse

A: Given,            ∫∫De64x2+16y2dxdy where D is the interior of the ellipse x42+y82≤1

Q: Find the points on the ellipse  X^2 + 6y^2 + 3xy =40 With the greatest x coordinator

A: Let us assume thatfx,y=xandgx,y=x2+6y2+3xy-40The lagrange multiplier equations…

Q: Find the equation of the ellipse whose foci are at (7,3) and ( 21,3),and the length of its major…

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Q: Convert the equation 25x2 + 4y2 - 150x + 32y + 189 = 0 to standard form by completing the square on…

A: Given: The equation of ellipse as 25x2+4y2-150x+32y+189=0 To find: the standard equation of ellipse,…

Q: An ellipse has an equation equal to 9x2-144x+16y2 +96y+495-D0. Compute the eccentricity of the…

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Q: 2. Identify the conic as a hyperbola, parabola, or ellipse and find the foci (c) 4x = y? %3D

A: identify the conic and use the equation to find the focus,

Q: Write the equation of the ellipse 4x + 9y + 72x + 108y + 612 = 0 in standard form. O (e+9)² + (y+6)°…

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Q: Find the standard form of the equation of the ellipse with the given characteristics. y 10 2 N 4…

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Q: Write the equation of the ellipse 4x² + 25y? – 40x + 150y + 225 = 0 in standard form %3D (x – h)?,…

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Q: 17 Select the conic section represented by the equation. 4x 2 -y 2 + 24x + 4y + 28 = 0. circle…

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Q: Find the point on the ellipse x2 + 6y² + 3xy = 40 with the largest x-coordinate (Figure ). -8 FIGURE…

A: Given: x2+6y2+3xy=40

Q: Find the largest triangle that can be inscribed in the ellipse (x2/a2)+(y2/b2)=1 (assume the…

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Q: 14. Evaluate [4x dæ + 5y“ dy if C is the portion of the ellipse 3x2 + 7y? = 21 in the first…

A: Explanation of the solution is given below....

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: The arch of the bridge below is half an ellipse, a "semi-ellipse". As shown in the figure below, the…

A: Solution : We have given a ellipese which width is 150m and height is 54m. We have to find out a…

Q: 4. Evalaute fe xyds, where C is the portion of the ellipse 4 y =1 in the first 16 quadrant, oriented…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: Write the equation of the ellipse 36æ² + 4y? + 72x + 32y – 44 = 0 in standard form (x – h)? p2 (y –…

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Q: Identify the conic section as a parabola, ellipse, circle, or hyperbola, or if there is not enough…

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Q: I am needing assistance with the attached equation.

A: Foci = (0,0) and (0,6) So, center of it: Major axis = 12 So, 2a=12 a=6  This ellipse is vertical…

Q: The ellipse 6x² + 2x + y? = 1 has its center at the point (b, c) where b = c = The length of the…

A: The standard form of an ellipse is with (h,k) as the centre.

Q: Find the equation of the ellipse whose foci are at (2,1 ) and ( 6,1),and the length of its major…

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Q: Find the center of the ellipse given by x² – 2x + 2y? - 12y +3 0. Enter as an ordered pair without…

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Q: foci and eccentricity of the ellipse. 9x2+4?2−18x+8y−23=0

A: Introduction: The center, vertices, foci ad eccentricity of the ellipse (x-h)2a2+(y-k)2b2=1 is given…

Q: Solve the following ellipse with center at (h, k) and identify the coordinates of foci, vertices and…

A: 1) Given:            x-7264+y+2225=1           x-7282+y+2252=1 This is in the form of Ellipse…

Q: Find the area of the largest rectangle that can be inscribed in the ellipse given by: x² + 4y? = 16

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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: Find the center, foci, vertices, endpoints, and eccentricity for the following ellipse.…

A: Since you have posted multiple parts we solve first three parts for you  To get the solution of…

Q: Identify the general equation, as well as the coordinates of the foci of the following ellipse that…

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Q: 2 %3D what is the eccentricity of the ellipse (x+5)* + l6 y? = 16 ?

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Q: Find the standard equation of the ellipse whose foci are F,(-3, 0) and F2(3, 0), such that for any…

A: Given:   Foci : (-3,0) (3,0)    Distance from foci : 10

Q: Find the length of the minor axis of the ellipse 16x? + 25y? = 400? 0 8 O 16 O 5 O 4

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Q: The arch of the fireplace below is half an ellipse, a "semi-ellipse". As shown in the figure below,…

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Q: Given the ellipse 16x2 + 25y2 – 64x – 50y – 311 = 0, determine its center.

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Q: Determine the eccentricity of the ellipse given by ײ + 16y² – 72x + 64y – 368 = 0 0.88 0.60 1.51…

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