2. (a) Give the geometric definition of an ellipse. (b) Give the equation of an ellipse with center at the origin and with major axis along the x-axis. How long is the major axis? How long is the minor axis? Where are the foci? What is the eccentricity of the ellipse? (c) Graph the equation = 1. What are the lengths 9 16 of the major and minor axes? Where are the foci?

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A: An ellipse is a collection of all such points whose summation of distance from two fixed point is…

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Q: 3) Foci: (-4, -8 + 4√2), (-4, −8 - 4√2) Endpoints of major axis: (-4, -2), (-4, -14)

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Q: True or False: y? The equation a² 16 : 1 defines - 9. an ellipse centered at the origin. True False

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Q: How do you determine the eccentricity of an ellipse? You can use a figure to express your thoughts…

A: To answer the question that H=how do you determine the eccentricity of an ellipse.

Q: The eccentricity of an ellipse is 0.5, and the length of the minor axis is equal to 20. Find the…

A: To find the distance between the foci of an ellipse.

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A: The correct option is B . See the explanation in the attachment below...

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Q: 10) Eccentricity = V119 12 Center: (6,9) Focus: (6-√119,9)

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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: How are the graphs of these ellipses similar and how are they different? are = 1 (x – 1)?, (v + 7)²…

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Q: Given the ellipse : 1 (x+2)² + (−1)² = 9 4 (a) Graph the ellipse, together with its major and minor…

A: The blue dashed line represents the horizontal and vertical lines passing through the center.

Q: Radii of Ellipse The following equation is an equation of an ellipse, find the radii of this…

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