(a) Explanation It is given that the equation is x 2 + 4 y 2 − 4 z 2 = 4 . On xy -plane, the value of z is 0. Substitute z = 0 in the equation and obtain the result. x 2 + 4 y 2 − 4 ( 0 ) 2 = 4 x 2 + 4 y 2 = 4 ( Divide by 4 ) x 2 4 + y 2 = 1 Thus, the traces of an ellipse with major axis along x -axis are obtained (b) To determine To find: The trace of the given equation in the xz- plane.

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …

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Chapter 29.2, Problem 1PE

(a)

To determine

To find: The trace of the given equation in the xy-plane.

(b)

To determine

To find: The trace of the given equation in the xz-plane.

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Chapter 29.1, Problem 44E

Chapter 29.2, Problem 2PE

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Chapter 29 Solutions

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Ch. 29.1 - Practice Exercise If f(x, y) = 4xy2 – 3x2y, find...Ch. 29.1 - Prob. 1E Ch. 29.1 - Prob. 2E Ch. 29.1 - Prob. 3E Ch. 29.1 - Prob. 4E Ch. 29.1 - Prob. 5E Ch. 29.1 - Prob. 6E Ch. 29.1 - Prob. 7E Ch. 29.1 - Prob. 8E Ch. 29.1 - Prob. 9E

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The trace of the given equation in the xy- plane.