Find a generating the vz-lane for t
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 55E
Related questions
Question
Identify a generating curve on the xz-plane for the surface of revolution with the given equation. Follow the steps in the given example.
Transcribed Image Text:Find a generating curve on
the xz-plane for the surface
of revolution with equation
x²+ y²+ z²= e2x
Transcribed Image Text:The surface S: x² + y² – z² – 4z = 4 is a surface of revolution. Find the equation
of a generating curve for S on the yz-plane and the axis in which this curve is
revolved to form S.
The equation of S can be written as x2 + y? = z² +
+ 4z + 4 , or
x² + y? = (z+2)²
Let f(z) = z +2. Then, a generating curve for S on the yz-plane is
y = z + 2
This curve is revolved about the z-axis
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