Question: 45. Show that (1/2) = (Hint: Evaluate 0 exx1/2 dx by letting x = y2/2, dx = y dy.)

45. Show that (1/2) =

√

π (Hint: Evaluate

∞

0 e−xx−1/2 dx by letting x = y2/2, dx = y dy.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock 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 Introduction To Probability Statistics Questions!

Q:

45. Show that (1/2) = (Hint: Evaluate 0 e xx 1/2 dx by letting x = y2/2, dx = y dy.)

Q:

Show that (1/2) = (Hint: Evaluate 0 exx1/2 dx by letting x = y2/2, dx = y dy.)

Q:

40. Find dy in terms of x and y for the function x + y = 6. dx y a. . X b. 6 dy 2 X N - + y c . a dy y dy 2 12 d. dry dx 2 d'y y e. dx 2 41. The function f(x) = x has two tangents drawn to it at the...

Q:

1. Use the - 8 definition of limit to show that lim(-4x + 1) = -7 2. Find the limit: lim 2x + 1 x-4 sin(5w) 3. Find the limit: lim W-0 W 1 -1 5. 4. Find the limit: lim X0 Find the limit: lim x+1 X...

Q:

1. Use the - 8 definition of limit to show that lim(-4x + 1) = -7 2. Find the limit: lim 2x + 1 x-4 sin(5w) 3. Find the limit: lim W-0 W 1 -1 5. 4. Find the limit: lim X0 Find the limit: lim x+1 X...

Q:

E Test: Chapter 5 Test Question list 0 Question 1 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 0 Question 8 I? Find the anlidelivative utthe given derivative do (X +...

Q:

806 Chapter Fifteen OPTIMIZATION: LOCAL AND GLOBAL EXTREMA If f is not continuous or the region R is not closed and bounded, there is no guarantee that f achieves a global maximum or global minimum...

Q:

ML in a nutshell Optimization, and machine learning, are intimately connected. At a very coarse level, ML works as follows. First, you come up somehow with a very complicated model y = M(x, 0), which...

Q:

7/4/23, 11:16 PM Homework 8.7-Anh Nguyen Use a table of integrals to determine tv7t+ 19 at. Click here to view page 1 of the integral table. " Click here to view page 2 of the integral table. 14...

Q:

Feedback: #1: This is not the argument in this reading passage. (0/4). Question 1: Summarize the Riemann sum argument that gives the formula of area as a double integral. Hint 1: Read the subsection...

Q:

Proton and 13 NMR of poly(4-methyl-1-pentene) formed under cationic conditions show the presence of five different repeating units. Predict their structure and explain their formation. (G. Ferraris...

Q:

The following display appeared in USA Today (June 29, 2009). It is meant to be a bar graph of responses to the ques-tion shown in the display. a. Is response to the question a categorical or...

Q:

Which ONE of the following transactions is NOT regulated by the Consumer Protection Act? 1 . a transaction between two or more persons for the supply of goods or services 2 . a collective agreement...

Q:

The lack of innovation and entrepreneurial focus at American Express (AmEx) may be because of hubris, inertia, and a lack of capability. The firms performance in 2014 was not, by any means, what...

Q:

* 14. A particle moves on a circle through points which have been marked 0, 1, 2, 3, 4 (in a clockwise order). At each step it has a probability of moving to the right (clockwise) and 1 - to the...

Q:

13. A transition probability matrix is said to be doubly stochastic if the sum over each column equals one; that is, = for ally If such a chain is irreducible and aperiodic and consists of M + 1...

Q:

12. For Example 4.4, calculate the proportion of days that it rains.

Q:

At May 1, 2020, Oriole Company had beginning inventory consisting of 210 units with a unit cost of $5.50. During May, the company purchased inventory as follows: 620 units at $5.50 670 units at...

Q:

Household Division Professional Division Total Sales $90,000,000 $7,000,000 $97,000,000 Variable costs 75,000,000 Contribution margin $15,000,000 5,500,000 $1,500,000 80,500,000 $16,500,000...

Q:

The production department of Zan Corporation has submitted the following forecast of units to be produced by quarter for the upcoming fiscal year: Units to be produced 1st Quarter 2nd Quarter 3rd...