17. Catch the Mistake. Shown is the solution of Jim when he was asked by his teacher to graph the hyperbola - = 1. Would you agree with Jim's answer? Why or why not? Solution: Compare the equation to the standard form and solve for a and b. а - 2, Ь - 3 Label the vertices (–a, 0) and (a, 0). (-2, 0) and (2, 0) Label the points (0, -b) and (0, b). (0, – 3) and (0, 3) Draw the rectangle connecting these four points, and align the asymptotes so that they pass through the center and (0,3) the corner of the boxes. Then draw the hyperbola using the vertices and (-2, 0) (2, 0) asymptotes. /(0,-3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
17. Catch the Mistake. Shown is the solution of Jim when he was asked by his
teacher to graph the hyperbola -=1. Would you agree with Jim's answer?
4
Why or why not?
Solution:
Compare the equation to the standard
form and solve for a and b.
a = 2, b = 3
Label the vertices (-a, 0) and (a, 0). (-2, 0) and (2, 0)
Label the points (0, – b) and (0, b).
(0, – 3) and (0, 3)
Draw the rectangle connecting
these four points, and align
the asymptotes so that they
pass through the center and
the corner of the boxes.
Then draw the hyperbola
using the vertices and
(0, 3)
(-2, 0)
(2, 0)
asymptotes.
/(0, -3)
Transcribed Image Text:17. Catch the Mistake. Shown is the solution of Jim when he was asked by his teacher to graph the hyperbola -=1. Would you agree with Jim's answer? 4 Why or why not? Solution: Compare the equation to the standard form and solve for a and b. a = 2, b = 3 Label the vertices (-a, 0) and (a, 0). (-2, 0) and (2, 0) Label the points (0, – b) and (0, b). (0, – 3) and (0, 3) Draw the rectangle connecting these four points, and align the asymptotes so that they pass through the center and the corner of the boxes. Then draw the hyperbola using the vertices and (0, 3) (-2, 0) (2, 0) asymptotes. /(0, -3)
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