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?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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