Explanation Given: The provided function is: f ( x ) = 0.01 x 5 + 0.2 x 4 − x 3 − 6 x 2 + 5 x + 40 Calculation: Consider the provided function f ( x ) = 0.01 x 5 + 0.2 x 4 − x 3 − 6 x 2 + 5 x + 40 For finding the minima : Step1: Press “ON” key. Step2: Press “Y=” key. Step3: Enter the equation “.01x^5+.2x^4-x^3-6x^2+5x+40”. Step4: Press “WINDOW” key. Step5: Set [Xmin] as − 5 , [Xmax] as 10 , [Xscl] as 1, [Ymin] as − 65 , [Ymax] as 60 and [Yscl] as 1. Step 6: Press 2 nd and then press TRACE. Step 7: Choose 3: minimum Step 8: For the Lower Bound, arrow to the left of the minimum and press ENTER. Step 9: For the Upper Bound, arrow to the right of the minimum and press ENTER. Step 10: For the Guess, arrow to the minimum and press ENTER. On observing the graph, local minima are found at x = − 2.83042 and x = 4.893 where values of f ( x ) are 11

Mathematics With Applications, Loose-leaf Edition Plus Mylab Math With Pearson Etext -- 18-week Access Card Package (12th Edition)

12th Edition

ISBN: 9780135998304

Author: Margaret L. Lial, Tom Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Chapter 12.1, Problem 43E

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To calculate: The approximate location of local extrema of the provided function f(x)=0.01x5+0.2x4−x3−6x2+5x+40.

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Chapter 12.1, Problem 42E

Chapter 12.1, Problem 44E

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Chapter 12 Solutions

Mathematics With Applications, Loose-leaf Edition Plus Mylab Math With Pearson Etext -- 18-week Access Card Package (12th Edition)

Ch. 12.1 - Checkpoint 1 For what values of x is the function...Ch. 12.1 - Checkpoint 2 Find all intervals on which is...Ch. 12.1 - Checkpoint 3 Identity the x-values of all points...Ch. 12.1 - Checkpoint 4 Find the critical numbers for each of...Ch. 12.1 - Prob. 5CP Ch. 12.1 - Prob. 6CP Ch. 12.1 - Checkpoint 7 Find the locations of the local...Ch. 12.1 - Prob. 8CP Ch. 12.1 - Checkpoint 9 If a sales function is given by...Ch. 12.1 - Prob. 1E

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The approximate location of local extrema of the provided function f ( x ) = 0.01 x 5 + 0.2 x 4 − x 3 − 6 x 2 + 5 x + 40 .

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To calculate: The approximate location of local extrema of the provided function f(x)=0.01x5+0.2x4−x3−6x2+5x+40.

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Chapter 12 Solutions