Identify the surface with equation 9r? - 4y? + 16z? - 144 = 0. %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Identify the surface with equation 9r? - 4y? + 16z? - 144 = 0.
%3D
Expert Solution
Step 1
Given the equation :
9x2-4y2+16z2-144=0
We know
Equation of hyperboloid of one sheet:
where the variable with the negative in front of it will give the axis along which the graph is centered.
we first simplify the equation
We need coefficients of x, y, z to be 1 so we divide the equation by LCM of coefficient of x, coefficient of y, coefficient of z
i.e. we divide with LCM()=144
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