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

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Chapter 4.4, Problem 90E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Problem 79E
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Problem 82E
Problem 83E
Problem 84E
Problem 85E
Problem 86E
Problem 87E
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Problem 89E
Problem 90E
Problem 91E
Problem 92E
Problem 93E
Problem 94E
Problem 95E
Problem 96E
Problem 97E
Problem 98E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Verifying Properties of Logarithms In Exercises 89 and 90, use a graphing utility to verify that the functions are equivalent for x > 0.

f ( x ) = ln x ( x 2 + 1 )

g ( x ) = 1 2 [ ln x + ln ( x 2 + 1 ) ]

To determine

To prove: The functions f(x)=ln(x(x2+1)) and g(x)=12[lnx+ln(x2+1)] are same for x>0 using the technology.

Explanation

Given Information:

The provided functions are f(x)=ln(x(x2+1)) and g(x)=12[lnx+ln(x2+1)].

Proof:

Consider the functions, f(x)=ln(x(x2+1)) and g(x)=12[lnx+ln(x2+1)]

Now, plot the graph of the functions f(x)=ln(x(x2+1)) and g(x)=12[lnx+ln(x2+1)] using Ti-83 graphing calculator as follows:

Step 1. Press “Y=” key and insert the function as,

Y1=ln((X(X^2+1)))

Step 2

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Sect-4.1 P-1CPSect-4.1 P-2CPSect-4.1 P-3CPSect-4.1 P-4CPSect-4.1 P-5CPSect-4.1 P-1SWUSect-4.1 P-2SWUSect-4.1 P-3SWUSect-4.1 P-4SWUSect-4.1 P-5SWU
Sect-4.1 P-6SWUSect-4.1 P-7SWUSect-4.1 P-8SWUSect-4.1 P-9SWUSect-4.1 P-10SWUSect-4.1 P-11SWUSect-4.1 P-12SWUSect-4.1 P-13SWUSect-4.1 P-14SWUSect-4.1 P-15SWUSect-4.1 P-16SWUSect-4.1 P-17SWUSect-4.1 P-18SWUSect-4.1 P-1ESect-4.1 P-2ESect-4.1 P-3ESect-4.1 P-4ESect-4.1 P-5ESect-4.1 P-6ESect-4.1 P-7ESect-4.1 P-8ESect-4.1 P-9ESect-4.1 P-10ESect-4.1 P-11ESect-4.1 P-12ESect-4.1 P-13ESect-4.1 P-14ESect-4.1 P-15ESect-4.1 P-16ESect-4.1 P-17ESect-4.1 P-18ESect-4.1 P-19ESect-4.1 P-20ESect-4.1 P-21ESect-4.1 P-22ESect-4.1 P-23ESect-4.1 P-24ESect-4.1 P-25ESect-4.1 P-26ESect-4.1 P-27ESect-4.2 P-1CPSect-4.2 P-2CPSect-4.2 P-3CPSect-4.2 P-4CPSect-4.2 P-5CPSect-4.2 P-1SWUSect-4.2 P-2SWUSect-4.2 P-3SWUSect-4.2 P-4SWUSect-4.2 P-5SWUSect-4.2 P-6SWUSect-4.2 P-7SWUSect-4.2 P-8SWUSect-4.2 P-9SWUSect-4.2 P-10SWUSect-4.2 P-11SWUSect-4.2 P-12SWUSect-4.2 P-1ESect-4.2 P-2ESect-4.2 P-3ESect-4.2 P-4ESect-4.2 P-5ESect-4.2 P-6ESect-4.2 P-7ESect-4.2 P-8ESect-4.2 P-9ESect-4.2 P-10ESect-4.2 P-11ESect-4.2 P-12ESect-4.2 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P-63ESect-4.4 P-64ESect-4.4 P-65ESect-4.4 P-66ESect-4.4 P-67ESect-4.4 P-68ESect-4.4 P-69ESect-4.4 P-70ESect-4.4 P-71ESect-4.4 P-72ESect-4.4 P-73ESect-4.4 P-74ESect-4.4 P-75ESect-4.4 P-76ESect-4.4 P-77ESect-4.4 P-78ESect-4.4 P-79ESect-4.4 P-80ESect-4.4 P-81ESect-4.4 P-82ESect-4.4 P-83ESect-4.4 P-84ESect-4.4 P-85ESect-4.4 P-86ESect-4.4 P-87ESect-4.4 P-88ESect-4.4 P-89ESect-4.4 P-90ESect-4.4 P-91ESect-4.4 P-92ESect-4.4 P-93ESect-4.4 P-94ESect-4.4 P-95ESect-4.4 P-96ESect-4.4 P-97ESect-4.4 P-98ESect-4.5 P-1CPSect-4.5 P-2CPSect-4.5 P-3CPSect-4.5 P-4CPSect-4.5 P-5CPSect-4.5 P-6CPSect-4.5 P-7CPSect-4.5 P-8CPSect-4.5 P-9CPSect-4.5 P-10CPSect-4.5 P-1SWUSect-4.5 P-2SWUSect-4.5 P-3SWUSect-4.5 P-4SWUSect-4.5 P-5SWUSect-4.5 P-6SWUSect-4.5 P-7SWUSect-4.5 P-8SWUSect-4.5 P-9SWUSect-4.5 P-10SWUSect-4.5 P-1ESect-4.5 P-2ESect-4.5 P-3ESect-4.5 P-4ESect-4.5 P-5ESect-4.5 P-6ESect-4.5 P-7ESect-4.5 P-8ESect-4.5 P-9ESect-4.5 P-10ESect-4.5 P-11ESect-4.5 P-12ESect-4.5 P-13ESect-4.5 P-14ESect-4.5 P-15ESect-4.5 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P-4CPSect-4.6 P-1SWUSect-4.6 P-2SWUSect-4.6 P-3SWUSect-4.6 P-4SWUSect-4.6 P-5SWUSect-4.6 P-6SWUSect-4.6 P-7SWUSect-4.6 P-8SWUSect-4.6 P-9SWUSect-4.6 P-10SWUSect-4.6 P-11SWUSect-4.6 P-12SWUSect-4.6 P-1ESect-4.6 P-2ESect-4.6 P-3ESect-4.6 P-4ESect-4.6 P-5ESect-4.6 P-6ESect-4.6 P-7ESect-4.6 P-8ESect-4.6 P-9ESect-4.6 P-10ESect-4.6 P-11ESect-4.6 P-12ESect-4.6 P-13ESect-4.6 P-14ESect-4.6 P-15ESect-4.6 P-16ESect-4.6 P-17ESect-4.6 P-18ESect-4.6 P-19ESect-4.6 P-20ESect-4.6 P-21ESect-4.6 P-22ESect-4.6 P-23ESect-4.6 P-24ESect-4.6 P-25ESect-4.6 P-26ESect-4.6 P-27ESect-4.6 P-28ESect-4.6 P-29ESect-4.6 P-30ESect-4.6 P-31ESect-4.6 P-32ESect-4.6 P-33ESect-4.6 P-34ESect-4.6 P-35ESect-4.6 P-36ESect-4.6 P-37ESect-4.6 P-38ESect-4.6 P-39ESect-4.6 P-40ESect-4.6 P-41ESect-4.6 P-42ESect-4.6 P-43ESect-4.6 P-44ESect-4.6 P-45ESect-4.6 P-46ECh-4 P-1RECh-4 P-2RECh-4 P-3RECh-4 P-4RECh-4 P-5RECh-4 P-6RECh-4 P-7RECh-4 P-8RECh-4 P-9RECh-4 P-10RECh-4 P-11RECh-4 P-12RECh-4 P-13RECh-4 P-14RECh-4 P-15RECh-4 P-16RECh-4 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A sample of 20 items provides a sample standard deviation of 5. a. Compute the 90% confidence interval estimate...

Statistics for Business & Economics, Revised (MindTap Course List)

Many medical professionals believe that eating too much red meat increases the risk of heart disease and cancer...

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Describe the purpose of the descriptive research strategy, explain how it differs from the purpose of other res...

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Define an operational definition and explain the purpose and the limitations of operational definitions.

Research Methods for the Behavioral Sciences (MindTap Course List)

USA TODAY reported that the average amount of money spent on coffee drinks each month is 78.00 (USA TODAY Snaps...

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Determine if the statement is true of false. If the statement is false, then correct it and make it true. The s...

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Each of the following common fractions has a denominator that is a power of 10. Write the equivalent decimal fr...

Mathematics For Machine Technology

Tangent Lines and Normal Lines (a) Find an equation of the tangent line to the parabola y=x2 at the point (2,4)...

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