Use Excel or MATLAB to draw the function v and its first and second derivatives v' and v", for 0 < x < 3.5. Then use these curves to confirm that the points you have found are minimum, maximum and inflexion points by stating the behaviour of cach of the three curves at each of these points. As you would see from the curve, the minimum velocity occurs at x = 0, while the maximum velocity in the given period 0 < x < 3.5, occurs at x = 3.5 ! Explain why our method could not identify x = 0 and x = 3.5 as maximum and minimum points? Are the points you found above still considered maximum and minimum points? How can we modify out method to easily account for x = 0 and x = 3.5?
Use Excel or MATLAB to draw the function v and its first and second derivatives v' and v", for 0 < x < 3.5. Then use these curves to confirm that the points you have found are minimum, maximum and inflexion points by stating the behaviour of cach of the three curves at each of these points. As you would see from the curve, the minimum velocity occurs at x = 0, while the maximum velocity in the given period 0 < x < 3.5, occurs at x = 3.5 ! Explain why our method could not identify x = 0 and x = 3.5 as maximum and minimum points? Are the points you found above still considered maximum and minimum points? How can we modify out method to easily account for x = 0 and x = 3.5?
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:Use Excel or MATLAB to draw the function v and its first and second derivatives v' and
v", for 0 < x < 3.5. Then use these curves to confirm that the points you have found are
minimum, maximum and inflexion points by stating the behaviour of cach of the three curves
at each of these points.
As you would see from the curve, the minimum velocity occurs at x = 0, while the maximum
velocity in the given period 0 < x < 3.5, occurs at x = 3.5 ! Explain why our method could not
identify x = 0 and x = 3.5 as maximum and minimum points? Are the points you found above
still considered maximum and minimum points? How can we modify out method to easily
account for x = 0 and x = 3.5?
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