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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 8.4, Problem 80E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Section
Problem 1CP
Problem 2CP
Problem 3CP
Problem 4CP
Problem 5CP
Problem 6CP
Problem 7CP
Problem 8CP
Problem 9CP
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Problem 2SWU
Problem 3SWU
Problem 4SWU
Problem 5SWU
Problem 6SWU
Problem 7SWU
Problem 8SWU
Problem 9SWU
Problem 10SWU
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
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Problem 12E
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Problem 14E
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Problem 16E
Problem 17E
Problem 18E
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Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
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Problem 30E
Problem 31E
Problem 32E
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Problem 49E
Problem 50E
Problem 51E
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Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
Problem 75E
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
Problem 83E
Problem 84E
Problem 85E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Analyzing a Function In Exercises 75-80, use a graphing utility to (a) graph f and f’ in the same viewing window over the specified interval, (b) find the critical numbers of f, (c) find the open interval(s) on which f' is positive and the open interval(s) on which f' is negative, and (d) find the relative extrema in the interval.

Function Interval

f ( x ) = ( ln x ) cos  x               ( 0 , 2 π )

(a)

To determine

To graph: The function f(x)=(lnx)cosx and also graph its first and second derivatives by using graphic calculator.

Explanation

Given Information:

The provided function is,

f(x)=(lnx)cosx

Graph:

Consider the provided function:

Y1=f(x)=(lnx)cosx

Graph the function f(x)=(lnx)cosx and also graph its first and second derivatives by using graphic calculator Ti-84. The steps used to graph the provided function and its first and second derivative by using graphic calculator Ti-84 are follow as:

Step 1: Press ON button and then press Y= button.

Step 2: Then, enter the function Y1=(ln(x))cos(x).

Step 3: After then, select Y2 by clicking on down button ∨.

Step 4: Then, go to MATH and select nDeriv( or press 8. A new window appears as:

Y2=nDrive(

Step 5: Now select VARS and press right arrow key > to select “function”, once function is selected, select function Y1

(b)

To determine

The critical points of the trigonometric function f(x)=(lnx)cosx over the interval (0,2π).

(c)

To determine

The sign of the derivative of the trigonometric function f(x)=(lnx)cosx over the interval (0,2π).

(d)

To determine

The relative extremes of the function in the interval (0,2π).

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Sect-8.1 P-1CPSect-8.1 P-2CPSect-8.1 P-3CPSect-8.1 P-4CPSect-8.1 P-1SWUSect-8.1 P-2SWUSect-8.1 P-3SWUSect-8.1 P-4SWUSect-8.1 P-5SWUSect-8.1 P-6SWU
Sect-8.1 P-7SWUSect-8.1 P-8SWUSect-8.1 P-9SWUSect-8.1 P-10SWUSect-8.1 P-1ESect-8.1 P-2ESect-8.1 P-3ESect-8.1 P-4ESect-8.1 P-5ESect-8.1 P-6ESect-8.1 P-7ESect-8.1 P-8ESect-8.1 P-9ESect-8.1 P-10ESect-8.1 P-11ESect-8.1 P-12ESect-8.1 P-13ESect-8.1 P-14ESect-8.1 P-15ESect-8.1 P-16ESect-8.1 P-17ESect-8.1 P-18ESect-8.1 P-19ESect-8.1 P-20ESect-8.1 P-21ESect-8.1 P-22ESect-8.1 P-23ESect-8.1 P-24ESect-8.1 P-25ESect-8.1 P-26ESect-8.1 P-27ESect-8.1 P-28ESect-8.1 P-29ESect-8.1 P-30ESect-8.1 P-31ESect-8.1 P-32ESect-8.1 P-33ESect-8.1 P-34ESect-8.1 P-35ESect-8.1 P-36ESect-8.1 P-37ESect-8.1 P-38ESect-8.1 P-39ESect-8.1 P-40ESect-8.1 P-41ESect-8.1 P-42ESect-8.1 P-43ESect-8.1 P-44ESect-8.1 P-45ESect-8.1 P-46ESect-8.1 P-47ESect-8.1 P-48ESect-8.1 P-49ESect-8.1 P-50ESect-8.1 P-51ESect-8.1 P-52ESect-8.1 P-53ESect-8.1 P-54ESect-8.1 P-55ESect-8.1 P-56ESect-8.1 P-57ESect-8.1 P-58ESect-8.2 P-1CPSect-8.2 P-2CPSect-8.2 P-3CPSect-8.2 P-4CPSect-8.2 P-5CPSect-8.2 P-6CPSect-8.2 P-7CPSect-8.2 P-1SWUSect-8.2 P-2SWUSect-8.2 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Fill in the blanks. If |r|1, the formula ________ gives the sum of the terms of an infinite geometric series.

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