Question: Show that is a decreasing function for x > e and n > 0. f(x) In xn X

Show thatf(x) In xn Xis a decreasing function for x > e and n > 0.

f(x) In xn X

Step by Step Solution

★★★★★

3.41 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

fx In x n X X n ln x ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 10th Edition Questions!

Q:

Locate the centroid of the region bounded by the given curves. about x = 5, y = 2x2, y = 0, x = 5 x = 5 y = 2x? y = 0

Q:

Suppose f is a continuous positive decreasing function for x > 1 and an = f (n). By drawing a picture, rank the following three quantities in increasing order: 6 9. a |f(x) dx i-1 i-2 |

Q:

Show that the indirect utility function is decreasing in p. u( p, ni) sup u(x) =

Q:

6. Find the series' interval of convergence and, within this interval, the sum of the series as a function of x. [ 30 x n= 0 Find the series' interval of convergence. Select the correct choice below...

Q:

A good step by step explanations . Which of the following correctly specifies a well-dened map? a. the map C > {0} _ b. the map f: R > R given by f(x) = 10g(x) c. the function f: {x E R : x > 0} > R...

Q:

23. Define the moment generating function of a random variable X. If X and Y are independent random variables with moment generating functions MX (t ) and MY (t ), respectively, find the moment...

Q:

Q3. The proportion of the budget for a certain type of industrial companj.r that is allotted to environmental and pollution control is coming under security. A data collection project determines that...

Q:

Obtain the Fourier series for the function: (10) x if -n

Q:

Math 104A Homework #2 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

Q:

Math 104A Homework #2 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

Q:

Selected financial statement information for Filmco appears below: Balance Sheet accounts Jan. 1, 2010 Dec. 31, 2010 Inventory $210,000 $90,000 Accounts Receivable $85,000 $45,000 Income Statement...

Q:

Given the discrete system xk 1 3 4 1 4 0 1 1 2 0 xk 2 0 0 0 5 1 uk yk 0 1 1 1 0 0 xk u3 k 1 pts a How many states inputs and outputs are given in this system

Q:

EXERCISE 6-9. Problems Associated with Cost Allocation High Country Outerwear received an offer from a motorcycle company to purchase 1 ,000 waterproof riding suits for $175 each. High Country's...

Q:

This year Colleen transferred $100,000 to an irrevocable trust that pays equal shares of income annually to three cousins (or their estates) for the next eight years. At that time, the trust is...

Q:

Find the probability it survives to age 2 conditional on surviving to age 1. Why might this value be different from that in Exercise 65? Suppose that some species of insect dies faster as it gets...

Q:

Events occur at a rate of 0.5/s. Find the probability that the first event occurs between times 1.0 and 2.0. Compute the above probabilities. In each case, sketch the probability distribution...

Q:

Events occur at a rate of 1.5/s. Find the probability that the first event occurs between times 0.2 and 1.0. Compute the above probabilities. In each case, sketch the probability distribution...

Q:

Question 5 (12 Marks) Whittle Ltd is preparing a cash budget for the first six months of the coming year, 2022. The company's financial manager has pulled all the cash sales and income from the past...

Q:

1 5 A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long - term bond fund, and the third is a money market fund that provides a safe return of 7 %...

Q:

Tattier, incorporated, has declared a dividend of 32.10 a share. Suppose capital gains are not taxed, but dividends are taxed at 21 percent and that the IRS regulations require that taxes be withheid...