The graph of x+6xy+ 25y = 16 is an ellipse. Find the coordinates of the points where the ellipse has horizontal tangent lines.

Q: Graph the ellipse 9(x - 1)2 + 4(y + 3)2 = 36 and give the location of its foci.

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Q: Find an equation for the ellipse whose graph is shown. y F(0, 4) 4

A: find explanation below

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: An ellipse has the equation 16x² + 25y = 40O. Determine the equation of the tangent of the curve at…

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Q: The center of the ellipse with the given equation 4(x – 5)2 + 3(y – 4)2 = 48 is

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Q: Find the equation of the ellipse consisting of points P such that P F1 + P F2 = 12, where F1 = (4,…

A: Given that PF1+PF2=12, where F1=(4,0) and F2=(-2,0)

Q: Find an equation for the ellipse whose graph is shown. y 0 (10,5) 15 X

A: Consider the ellipse  Consider the graph

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

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Q: The equation x2-xy+y2=1 describes an ellipse. Find the coordinates (x,y) of all the points 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: Find the standard form of the ellipse given below in general form. x2 – 2x + 4y2 + 24y + 33 = 0

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Q: Find an equation for the ellipse that has its center at the origin and satisfies the given…

A: x-intercepts of the ellipse are ±2 and y-intercepts are ±13. Therefore length of semi major axis is,…

Q: 1. 49x2 + 25y? + 98x + 50y - 1131 = 0.

A: We will find all the above as shown below

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

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Q: Find the equation in standard form of the ellipse whose foci are F1(-8, 0) and F2(8, 0), such that…

A: We have to find equation in standard form of the ellipse.

Q: Find the standard form of the equation of the ellipse that satisfies the given conditions. a. Ends…

A: The distance between the endpoints of the minor axis is equal to 2b, so…

Q: Find an equation for the ellipse whose graph is shown. y X

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

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

A: Equation of diameter and tangent

Q: Derive the equation for the ellipse with its center at (0,0), vertex at (0,13) and focus at (0,-12)

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Q: Graph the ellipse (x - 3)2 + 9(y + 2)2 = 18 and give the location of its foci.

A: the given equation of ellipse is  (x-3)2+9(y+2)2=18

Q: The equation x 2 −xy +y 2 = 3 represents a rotated ellipse, that is, an ellipse wholes axes are not…

A: The given equation is: x2-xy+y2=3 Now the ellipse will cross the x-axis, when y become zero. Thus,…

Q: Find the points on the ellipse x^2 + 9y^2 = 9 and the line x + y = 10 that are closest and farthest…

A: Distance between the two points: - The length of the line segment connecting two places is called…

Q: Find an equation of the ellipse having a major axis of length 6 and foci at (1, 4) and (1, 0). D=0

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Q: I. Find the standard equation of the ellipse which satisfies the given conditions. 4. covertices…

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: Find the standard equation of the ellipse whose foci are F1 (0,8) and F2 (0,-8) such that for any…

A: Given, The foci of the ellipse  F1 (0,8) and F2 (0,-8) Sum of distance of any point from the foci =…

Q: Find the shortest distance from the point (o, 5) to the ellipse 3y? = x³.

A: We will find the the distance from the given problem.  We know      Distance (D) = sqrt {(x-x1)2…

Q: The equation x2- x   y + y 2  = 3  represents a “rotated ellipse,” that is, an ellipse whose axes…

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Q: The equation x2 − xy + y2 = 3 represents a “rotated ellipse”, that is an ellipse whose axes are not…

A: Given: The equation x2 − xy + y2 = 3 represents a “rotated ellipse”, that is an ellipse whose axes…

Q: Find an equation for the ellipse whose graph is shown. + 25 1 x 16 y F(0, 4) 4

A: The standard form of the equation of ellipse with center (0, 0) and major axis on the y-axis is…

Q: Graph the ellipse (x - 4)2/9 + (y + 2)2/25 = 1 and give the location of its foci.

A: Given: x-429 + y+2225 = 1 To find: Location of the foci and to graph the ellipse.

Q: Find an equation for the ellipse whose graph is shown. I X y X 3 0 4

A: The figure of the ellipse is To evaluate: The equation of ellipse.

Q: Graph the ellipse and the foci (z-4) +. 25 (v+2) =D1

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Q: Find an equation of the ellipse having a major axis of length 12 and foci at (6, –3) and (-4, –3).…

A: Explanation and solutions is given below....

Q: the graph of the equation X+kxy + 49y = 7 where k is any positive constant less than 14, is an…

A: Here comparing given equation with standard equation of graph

Q: Given an ellipse with the equation x²/36+y²+32=1, the distance between the foci is

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Q: Derive the equation of the ellipse b y* =1 a

A: Given: x2b2+y2a2=1

Q: Find an equation for the ellipse whose graph is shown. y F(0, 2) 2

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

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Q: Find the foci of the ellipse (x+1)² (y+5) ² 28 23 + =1

A: We can find the foci in the below steps.

Q: Graph the ellipse (x - 2)2/9 + (y - 1)2/4 = 1 and give the location of its foci.

A: Given equation of ellipse is (x-2)29+y-124=1

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (7, 3) and (3, 3). D=0…

A: Given data: The length of major axis is 2a=12. Foci are, (7,3) (3,3)