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Ellipses

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Questions and Answers

What is the eccentricity of a circle?

0.5

0 (correct)

What is the limiting case of infinite elongation for an ellipse?

Hyperbola

Oval

Circle

Parabola (correct)

What are the coordinates of the foci of a standard ellipse centered at the origin with width $2a$ and height $2b$?

$(\pm c, 0)$ for $c = \sqrt{a^2 + b^2}$

$(\pm a, 0)$ for $c = \sqrt{a^2 + b^2}$

$(\pm c, 0)$ for $c = \sqrt{a^2 - b^2}$ (correct)

$(\pm b, 0)$ for $c = \sqrt{a^2 - b^2}$

What type of curve does an ellipse generalize?

Circle Signup and view all the answers

What is the range of eccentricity for an ellipse?

0 to 1 Signup and view all the answers

What does the periodic table depict?

Arrangement of chemical elements into rows and columns Signup and view all the answers

What does the periodic law state?

An approximate recurrence of properties of elements when arranged by atomic numbers Signup and view all the answers

What characterizes the periodic table?

Vertical, horizontal, and diagonal trends Signup and view all the answers

What happens to metallic character down a group in the periodic table?

Increases Signup and view all the answers

Who formulated the first generally accepted periodic table?

Dmitri Mendeleev Signup and view all the answers

What is the eccentricity of a circle?

$0$ Signup and view all the answers

What are the coordinates of the foci for a standard ellipse centered at the origin?

$(\pm c, 0)$ Signup and view all the answers

What is the limiting case of infinite elongation for an ellipse?

A parabola Signup and view all the answers

What is the equation of a standard ellipse with width $2a$ and height $2b$?

$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ Signup and view all the answers

What type of solution does an ellipse have for its perimeter?

Only approximations Signup and view all the answers

Ellipses

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Podcast

Questions and Answers

What is the eccentricity of a circle?

What is the limiting case of infinite elongation for an ellipse?

What are the coordinates of the foci of a standard ellipse centered at the origin with width $2a$ and height $2b$?

What type of curve does an ellipse generalize?

What is the range of eccentricity for an ellipse?

What does the periodic table depict?

What does the periodic law state?

What characterizes the periodic table?

What happens to metallic character down a group in the periodic table?

Who formulated the first generally accepted periodic table?

What is the eccentricity of a circle?

What are the coordinates of the foci for a standard ellipse centered at the origin?

What is the limiting case of infinite elongation for an ellipse?

What is the equation of a standard ellipse with width $2a$ and height $2b$?

What type of solution does an ellipse have for its perimeter?

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