316. It is a fact that the square root of 2 is the same as the fourth root of 4 in other words, 21/2=41/4. Thus, the graph of y=x/x goes through two points that have the same y-coordinate. As the diagram suggests, the maximum y-value for this curve occurs between x = 2 and x = 4. What is this x-value, to four places? 1+ 317. (Continuation) The diagram also suggests that the graph of y=xx has a horizontal asymptote. Investigate this possibility.
316. It is a fact that the square root of 2 is the same as the fourth root of 4 in other words, 21/2=41/4. Thus, the graph of y=x/x goes through two points that have the same y-coordinate. As the diagram suggests, the maximum y-value for this curve occurs between x = 2 and x = 4. What is this x-value, to four places? 1+ 317. (Continuation) The diagram also suggests that the graph of y=xx has a horizontal asymptote. Investigate this possibility.
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:316. It is a fact that the square root of 2 is the same as the fourth root
of 4-in other words, 21/2 = 41/4. Thus, the graph of y=x¹/x goes
through two points that have the same y-coordinate. As the
diagram suggests, the maximum y-value for this curve occurs
between x = 2 and x = 4. What is this x-value, to four places?
1+
317. (Continuation) The diagram also suggests that the graph of y=xx has a horizontal asymptote.
Investigate this possibility.
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