Explanation Given Information: The provided function is y = − 2 + 1 3 ln x . Graph: Consider the function, y = − 2 + 1 3 ln x The natural logarithmic function is defined only for positive values, so the domain of the function, y = − 2 + 1 3 ln x is x > 0 . As the domain is x > 0 , then take the value of x greater than 0 . To draw the graph of y = − 2 + 1 3 ln x , first compute the value of y for different values of x . Compute the value of y at x = 1 by substituting x = 1 in the equation y = − 2 + 1 3 ln x as, y ( 1 ) = − 2 + 1 3 ln ( 1 ) = − 2 + 0 = − 2 Compute the value of y at x = 2 by substituting x = 2 in the equation y = − 2 + 1 3 ln x as, y ( 2 ) = − 2 + 1 3 ln ( 2 ) = − 2 + 0.6931 3 = − 2 + 0.231 = − 1.769 Compute the value of y at x = 100 by substituting x = 100 in the equation y = − 2 + 1 3 ln x as, y ( 100 ) = − 2 + 1 3 ln ( 100 ) = − 2 + 4.6052 3 = − 2 + 1.535 = − 0.465 Compute the value of y at x = 200 by substituting x = 200 in the equation y = − 2 + 1 3 ln x as, y ( 200 ) = − 2 + 1 3 ln ( 200 ) = − 2 + 5.2983 3 = − 2 + 1.766 = − 0.234 Compute the value of y at x = 300 by substituting x = 300 in the equation y = − 2 + 1 3 ln x as, y ( 300 ) = − 2 + 1 3 ln ( 300 ) = − 2 + 5

Calculus: An Applied Approach (MindTap Course List)

10th Edition

ISBN: 9781305860919

Author: Ron Larson

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 4.4, Problem 19E

To determine

To graph: The function y=−2+13lnx.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.4, Problem 18E

Chapter 4.4, Problem 20E

Students have asked these similar questions

Evaluate the double integral ' √ √ (−2xy² + 3ry) dA R where R = {(x,y)| 1 ≤ x ≤ 3, 2 ≤ y ≤ 4} Double Integral Plot of integrand and Region R N 120 100 80- 60- 40 20 -20 -40 2 T 3 4 5123456 This plot is an example of the function over region R. The region and function identified in your problem will be slightly different. Answer = Round your answer to four decimal places.

Find Te²+ dydz 0 Write your answer in exact form.

xy² Find -dA, R = [0,3] × [−4,4] x²+1 Round your answer to four decimal places.

Chapter 4 Solutions

Calculus: An Applied Approach (MindTap Course List)

Ch. 4.1 - Use the properties of exponents to simplify each...Ch. 4.1 - Use the properties of exponents to simplify each...Ch. 4.1 - Use the formula for the ratio of carbon isotopes...Ch. 4.1 - Prob. 4CP Ch. 4.1 - Prob. 5CP Ch. 4.1 - Prob. 1SWU Ch. 4.1 - Prob. 2SWU Ch. 4.1 - Prob. 3SWU Ch. 4.1 - Prob. 4SWU Ch. 4.1 - Prob. 5SWU

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

To graph: The function y = − 2 + 1 3 ln x .

Solution Summary: The author analyzes the natural logarithmic function y=2+13mathrmlnx, which is defined only for positive values.

Videos

To graph: The function y=−2+13lnx.

Want to see the full answer?

Chapter 4 Solutions