Let C be a curve in R 3 not passing through the origin. The cone on C

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Let C be a curve in R³ not passing through the origin. The cone on C is the surface consisting of all lines passing through the origin and a point on C [Figure 19(A)].

Cone on ellipse C N Cone on parabola C (half of cone shown)

Show that the elliptic cone + ( ) + ( ) (x, y, c) such that = 1. = + is, in fact, a cone on the ellipse C

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 03, 2024 07:06 AM

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Let C be a curve in R 3 not passing through the origin. The cone on C

Question:

Cone on ellipse C N Cone on parabola C (half of cone shown)

Step by Step Answer:

Step 1 We verify that the lines OP where P is a point a b c such that a 1 are contained in the The p...View the full answer

Calculus

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