Explanation Given information : The term trace of a surface. When a surface intersects a plane, a trace is formed and is called trace of that surface in the plane. A trace if formed in a two dimensional plane. For the trace of a quadric surface, set one of the variables out of x, y or z to a constant and then sketch the curve. If the variable z is treated like a constant, let z = a , where a is a constant, then the curve is sketched in the plane parallel to xy plane that is z = a . For example: Consider the surface, x 2 4 − y 2 − z 2 = 1 . For the plane y = 1 , the trace of the surface is, x 2 4 − y 2 − z 2 = 1 x 2 <

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 9.7, Problem 2PS

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To define: The terminology trace of a surface.

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Chapter 9 Solutions

Student's Solution and Survival Manual for Calculus

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The terminology trace of a surface.

Solution Summary: The author explains the terminology trace of a surface, which is formed when the surface intersects with the plane.

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Chapter 9 Solutions