Maurice Tutor

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Expertise:
Algebra,Applied Sciences See all
Algebra,Applied Sciences,Biology,Calculus,Chemistry,Economics,English,Essay writing,Geography,Geology,Health & Medical,Physics,Science Hide all
Teaching Since: May 2017
Last Sign in: 402 Weeks Ago, 5 Days Ago
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Education

  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

Experience

  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Accounting Posted 05 Aug 2017 My Price 9.00

critical values

DERIVATIVE APPLICATION EXERCISE

 

Name ______________________ Due __________ (worth 50 points + 20 bonus points)

 

Find the critical values for X for the given polynomial by finding the X values among those given where dy/dx = 0 and/or X where d­2y/dx2 = 0. Calculate the Y values corresponding to the X values given below. Also find the sign (+ or -) of dy/dx and of d2y/dx2 at these values. Reference Lesson 13 and the text Appendix A (pp 694 – 698), as needed. Using the first and second derivative tests with the information you have calculated, determine which X values represent maximums (MAX), which minimums (MIN) and which inflection points (INF). Label the points as such. Attach work to convince me you carried out these calculations. An Excel spreadsheet can make calculations easier. If used, please attach the spreadsheet file and upload it with the rest of your work so that I can examine your formulas. The beginning and ending X values below are not to be considered critical values. You must write below the first derivative (dy/dx) and the second derivative (d2y/dx2) you used to obtain credit for them.

 

Y = -1 +X +X2 –X3

 

X

-.667

-.333

0

.333

.667

1

1.333

Y

              

dy/dx

              

d2y/dx2

              

Label Point

(MAX, MIN, INF)

              

 

Twenty point Bonus Opportunity(creditable toward the maximum of 600 exercise points). Use the nine X values and their Y values you found above (which include the critical values) to help neatly sketch the graph of this polynomial function over the range of X values given. Alternatively use a spreadsheet to plot it. Your sketch must be consistent with the tabled values above (which means, if you claim a certain X value is a maximum, then the graph of it should show this same value as a maximum. Similarly, if you claim an X value is an inflection point, then the graph of it should show it to be so. A minimum should graph as a minimum, too. The point is, if you figure out how the derivatives SIGNAL which X values are critical points, the graph of the values should show this also.)

Answers

Maurice Tutor
(5)
Status NEW Posted 05 Aug 2017 04:08 PM My Price 9.00

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