(a) List six common types of quadric surfaces, and describetheir traces in planes
Chapter 11, Problem 24(choose chapter or problem)
(a) List six common types of quadric surfaces, and describe their traces in planes parallel to the coordinate planes.
(b) Give the coordinates of the points that result when the point \((x, y, z)\) is reflected about the plane \(y=x\), the plane \(y=z\), and the plane \(x=z\)
(c) Describe the intersection of the surfaces \(r=5\) and \(z=1\) in cylindrical coordinates.
(d) Describe the intersection of the surfaces \(\varphi=\pi / 4\) and \(\theta=0\) in spherical coordinates.
Equation Transcription:
Text Transcription:
(x, y, z)
y=x
y=z
x=z
r=5
z=1
phi=pi/4
theta=0
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