Concept explainers
To find: The figure does the ellipse approach, justify your answer.
Answer to Problem 48E
As the foci approach the center you get a circle.
As the foci approach the vertex of the major axis, you get a line
Explanation of Solution
Given information: Critical Thinking: As the foci of an ellipse move farther apart with the major axis fixed
Calculation:
You are to imagine that a string of fixed length is attached to the foci creating the ellipse. As you move the foci outward, the length of the string doesn’t change. The string will tighten to a line.
As the foci approach the center you get a circle.
As the foci approach the vertex of the major axis, you get a line.
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
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Precalculus (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
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