Use variable substitutions to convert this integral to gamma functions and get a simple numeric answer...
Evaluate the indefinite integral\ sec^2 t sqrt 1 + tant t dt Use the previous answer to evaluate between t=0 and t = pi / 4 1. Evaluate the indefinite integral ſ secº (t)/1+tan(t) dt (7 pts) 2. Use the previous answer to evaluate betweent O and t = 4 TT (3 pts)
9. (9 pts) The random variable r-Gamma(x-2, β-4). functions to prove that the moment generating function for the random variable W mw(t) (1-12t)2. Use the method of moment-generating 3Y +5is eSt 10, (9 pts) Suppose that Y has a gamma distribution with α-n/2 for some positive integer n and β equal to some specified value. Use the method of moment-generating functions to prove that W- 2Y /g has a Chi-squared distribution with n degrees of freedom. Make sure you show...
please answer question #42 41. We have encountered the gamma function f(a) in our study of Bessel functions in Section 6.4 (page 263). One definition of this function is given by the improper integral (a) = ar-le'dt, a > 0. Use this definition to show that I'(a + 1) = al(a). When a = n is a positive integer the last property can be used to show that T(n + 1) = n!. See Appendix A. 42. Use Problem 41...
Indefinite integral Show your steps to answer the two requests and upload a single file. 1. Evaluate the indefinite integral S sec(t)/1+ tan(t) dt. (7 pts) 2. Use the previous answer to evaluate betweent = O and t (3 pts) 4" T = Inload
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2 3 dt t 1 2 dt = t 1 (Type an exact answer.)
Part A Evaluate the integral: I= j (+5 + 5) (8 (t) + 128 (t – 1)) dt. Express your answer using three significant figures. View Available Hint(s) VO AXO Ut vec 2 ? Submit Part B Evaluate the integral: I = ſ t® [8 (t) + 8(t + 1.8) + 8(t – 3)] dt. Express your answer using three significant figures. View Available Hint(s) ran Use step functions to write the expression for the function shown in (Figure 1)....
Stat215 Quiz 1 Spring 2019 For each variable below determine the variable type (continuous numeric, discrete numeric, categorical ranked, cat egorical unranked). 1. Height of a randomly selected building in Morgantown 2. The number of books a randomly selected adult owns 3. The color of the backpack of a randomly selected student 4. The cell phone number of a randomly selected US citizen 5. The weight of a randomly Wvu student Use the data that follows to answer questions 6-8...
Consider the simple flowcharts below for pend and post functions for use with a cooperative multitasking programs written with cxlib. The operator “<=” is a less than or equal test. The variable pS is a pointer of type int so that *pS refers to the value referenced by pS. Write functions pend and post, the corresponding prototypes are given below. Consider the issues that could cause a pend function written according to the given flowchart to not be reentrant. Give...
Evaluate the following integral using integration by parts. (steldt Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below. OA. 5e! 1- / (5te") at B. 5e'+ |(5e!) dt +((ste") at O D. Ste'- |(5e) a OC. Ste!
9. (9 pts) The random variable ??~??????????(∝= 2, ?? = 4). Use the method of moment-generating functions to prove that the moment generating function for the random variable ?? = 3?? + 5 is 10. 9. (9 pts) The random variable Y-Gamma(α-2. functions to prove that the moment generating function for the random variable W mw(t)120)2 4). Use the method of moment-generating 3Y 5 is est (1-12t)2 10, (9 pts) Suppose that Y has a gamma distribution with α-n/2 for...