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Which conic section is formed in the image shown? O Circle O Parabola Ellipse O Hyperbola

Which conic section is formed in the image shown? O Circle O Parabola Ellipse O Hyperbola

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Conic Sections** **Question**: Which conic section is formed in the image shown? **Image Description**: The image shows a double cone (two cones with their tips touching). A plane intersects the cones in such a way that it cuts through both the cones' circular bases and forms an enclosed shape. The intersection of the plane and the cones forms an oval-shaped region. **Answer Choices**: - ☐ Circle - ☐ Parabola - ☑ Ellipse - ☐ Hyperbola **Explanation**: This diagram depicts a conic section where a plane intersects a double cone at an angle. When a plane intersects only one nappe (one side) of the cone but does not pass through the vertex, and the intersection traces out an enclosed, elongated shape, the conic section formed is an ellipse.
Transcribed Image Text:**Conic Sections** **Question**: Which conic section is formed in the image shown? **Image Description**: The image shows a double cone (two cones with their tips touching). A plane intersects the cones in such a way that it cuts through both the cones' circular bases and forms an enclosed shape. The intersection of the plane and the cones forms an oval-shaped region. **Answer Choices**: - ☐ Circle - ☐ Parabola - ☑ Ellipse - ☐ Hyperbola **Explanation**: This diagram depicts a conic section where a plane intersects a double cone at an angle. When a plane intersects only one nappe (one side) of the cone but does not pass through the vertex, and the intersection traces out an enclosed, elongated shape, the conic section formed is an ellipse.
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