Specialize f of Problem 41 to f(x) = In x? (a) Show that (b) Conclude from part

Question:

Specialize f of Problem 41 to f(x) = In x?
(a) Show that

(b) Conclude from part (a) and Problem 41 that

Exists. It can be shown that k = (2(.
(c) This means that n! ( (2(n(n/e)n, which is called Stirling's Formula. Use it to approximate 15! and compare it with the value that your calculator gives for 15!

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

See More Books

Question Posted: Jun 21, 2016 10:32 AM

See More Questions

A classical problem in the calculus of variations is to find the shape of a curve C such that a bead, under the influence of gravity, will slide from point A(0, 0) to point B(x 1 , y 1 ) in the...
It can be shown that the square of a standard normal variable has the chi-square distribution with one degree of freedom. Use that fact to show, for a chi-square curve with one degree of freedom,...
A famous sequence {fn}, called the Fibonacci Sequence after Leonardo Fibonacci, who introduced it around A.D. 1200, is defined by the recursion formula f1 = f2 = 1, fn+2 = fn+1 + fn (a) Find .13...
According to a study conducted by the Gallup organization, the proportion of Americans who are afraid to y is 0.10. A random sample of 1100 Americans results in 121 indicating that they are afraid to...
What does the exchange model of influence suggest you do to build cooperative relationships to complete a project?
p. 510 If you worked in a matrix organization, what would be some of the career development challenges that you might face? Does the idea of working in a matrix structure appeal to you? Why or why...
Use the F-tables in Appendix B or statistical software to find each of the following F-values: LO3 a. F.05, where n1 = 8 and n2 = 5 b. F.01, where n1 = 20 and n2 = 14 c. F.025, where n1 = 10 and n2 =...
Assess your utility function in three different ways. a. Use the certainty-equivalent approach to assess your utility function for wealth over a range of $100 to $20,000. b. Use the...
The Thompson Corporation, a manufacturer of steel products, began operations on October 1 , 2 0 2 2 . The accounting department of Thompson has started the fixed - asset and depreciation schedule...
The 2-kg collar is released from rest at A? and slides down the inclined fi xed rod in the vertical plane. The coefficient of kinetic friction is 0.40. Calculate ( a ) the velocity v? of the collar...
Let f be continuous, increasing, and concave down on [1, () as in Figure 4. Furthermore, let An be the area of the shaded region. Show that An is increasing with n, that An ( T where T is the area of...
Show that the error used in approximating S by Sn satisfies Where the notation is the same as in the discussion preceding Example 5? En2 f(x) dx n+1
One method of encryption is to use a matrix to encrypt the message and then use the corresponding inverse matrix to decode the message. The encrypted matrix, E, is obtained by multiplying the message...
analyze the code and fix the error Main.java 2 public class Main 3- { 4 public static void main(String[] args) { 5 6 Scanner myObj-new Scanner(System.in); 7 int count = 0; // sets count to zero CO G...
Please provide a reflection on interimsof a C-Level Leader of a start-up technology company, how/what strategy you will consider to grow your business.
Using a ruler, completing the following schematics based on the information provided. 19. Draw a wiring diagram of a PSC compressor with a current start relay and a start capacitor.com 20. Draw a...
You observe the below command output. *?What is wrong connection timed out; no servers could be reached arya@arya:~$
Evaluate your strengths a supervisor and leader using the preferred leadership profile, the key performance motivators scale, the seven domains for inspiration, and other concepts from your course...
Shown below is a typical cooling curve for an aqueous solution. Why is there no horizontal straight-line portion comparable to that seen in the cooling curve for pure water in Figure 12-23? Figure...
What are the typical record-at-a-time operations for accessing a file? Which of these depend on the current file record?
Suppose there are 200 butterflies on the first island and none on the second at time t = 0. How many are on each island at t = 1? At t = 2? The model of selection studied in this section is similar...
Find equations for xt+1 and yt+1 in terms of xt and yt. The model of selection studied in this section is similar to a model of migration. Suppose two nearby islands have populations of butterflies,...
Divide both sides of the discrete-time dynamical system for xt by xt+1 + yt+1 to find a discrete-time dynamical system for the fraction pt on the first island. What is the equilibrium fraction? The...
Al preparar el estado de resultados pro forma, cules de las siguientes partidas se deducen de las utilidades brutas para llegar a las ganancias despus de impuestos? Pregunta de seleccin mltiple....
Lawson Inc. is expanding its manufacturing plant, which requires an investment of $4 million in new equipment and plant modifications. Lawson's sales are expected to increase by $3 million per year...
20 On January 1, Year 1, X Company purchased equipment for $80,000. The company estimates that the equipment will have a useful life of 10 years and a residual value of $5,000. X Company depreciates...

Specialize f of Problem 41 to f(x) = In x? (a) Show that (b) Conclude from part

Question:

In 1 In 2 In n 1) + In n =nin n _ n + 1-Inn! + InVn (n/e)"Vn n! n!

Step by Step Answer:

ln x is continuous increasing and concave down on 1 s...View the full answer

Calculus

Students also viewed these Calculus questions