Is the student's analysis correct? Why or why not? Select all correct statements. The analysis is not correct because the student did not need to rewrite the equation in that form. The analysis is not correct because the equation is that of a hyperboloid in two sheets. The analysis is correct because the trace is an ellipse and the equation given describes a hyperboloid. The analysis is not correctly because the trace created by z = 1 is not an ellipse.
Is the student's analysis correct? Why or why not? Select all correct statements. The analysis is not correct because the student did not need to rewrite the equation in that form. The analysis is not correct because the equation is that of a hyperboloid in two sheets. The analysis is correct because the trace is an ellipse and the equation given describes a hyperboloid. The analysis is not correctly because the trace created by z = 1 is not an ellipse.
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:Consider the equation 4x² + ( )² – 5z² = −1. A student rewrites this equation as (25) + (1200)² – ( ²)² = and
identifies this as a hyperboloid in one sheet.
Further, the student identifies the trace created by the plane z = 1 intersecting the hyperboloid as an ellipse.
Is the student's analysis correct? Why or why not? Select all correct statements.
The analysis is not correct because the student did not need to rewrite the equation in that form.
The analysis is not correct because the equation is that of a hyperboloid in two sheets.
The analysis is correct because the trace is an ellipse and the equation given describes a hyperboloid.
The analysis is not correctly because the trace created by z = 1 is not an ellipse.
Given the original equation 4x² + ( ² ) ² − 5z² = −1, what is the equation for the trace y = 9?
Equation: 422-5?² =
Incorrect
=-730
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