i answered part A and B . i need the answer to part C. please clearly identify the answer and write out everything This question has multiple parts. Work all the parts to get the most points. For the following reaction: с 1. NaOCH CH3 Hoc оснен, OCH2CH3 OCH CH 2. H30* a Draw the major organic product. - 030- T mood b Write a mechanism for the step shown below, using curved arrows to show electron redistribution. Arrow-pushing Instructions...
Let A be an n x p matrix with n p. (a) Show that r(AA) = r(A). (b) Show that I - A(ATA) AT is idempotent. (c) Show that r(1-A(ATAYA") = n-r(A) Let A be an n x p matrix with n p. (a) Show that r(AA) = r(A). (b) Show that I - A(ATA) AT is idempotent. (c) Show that r(1-A(ATAYA") = n-r(A)
#s 2, 3, 6 2. Let (En)acy be a sequence in R (a) Show that xn → oo if and only if-An →-oo. (b) If xn > 0 for all n in N, show that linnAn = 0 if and only if lim-= oo. 3. Let ()nEN be a sequence in R. (a) If x <0 for all n in N, show that - -oo if and only if xl 0o. (b) Show, by example, that if kal → oo,...
I just need 3d answered please! (3) The Hypergeometric Function If a, b, c R with c f {0, -1,-2,...^ we define the Gauss hypergeometric function as n!c(c 1)... (c+n-1) Note that this solves the DE (a) Verify that log(1x) rF(1,1,2, -) (b) Verify formally (without justifying the limits) that e-lim F (a, b, a, (c) Show that Pla, b, c, x) = abF(a + 1,D+ 1, c + 1, x) (d) Show that F(n, -n, s a polynomial, and...
Let F, C R be defined by F.-{x | x 20 and 2-1/n-x2〈 2+1/n). Show that n-&メ2. Use this to show the existence of V2. 18. Let F, C R be defined by F.-{x | x 20 and 2-1/n-x2〈 2+1/n). Show that n-&メ2. Use this to show the existence of V2. 18.
Suppose that functions fn : [0, 1] → R, for n = 1,2. . . ., are continuous and f : [0, 1] → R is also continuous. Show that fn → f uniformly if and only if fn(xn) → f(x) whenever xn → x. Suppose that functions fn : [0, 1] → R, for n = 1,2. . . ., are continuous and f : [0, 1] → R is also continuous. Show that fn → f uniformly if...
I need d) only for a 2 parameter exponential defined (1/Theta)e^(-(x-n)/theta)). Consider a random sample of size n from a two-parameter exponential distribution, X, EXPO, n), and let ñ and be the MLES. (a) Show that û and are independent. Hint: Use the results of Exercise 30 of Chapter 10. (b) Let V= 2n(8 – n)/0, V2 = 2rl – n/, and V, = 2n8/0. Show that V1 ~x?(2n), V3 ~x?(2) and V3 X (2n - 2). Hint: V1 =...
Control Systems I need the answer for part b) Part a) is already answered, I will post the solution below this question Part a) answer a) Prove that if f(t) is a periodic function with period T then: -st f(t)e"" dt b) use the result of part a and show that the Laplace transform of the periodic function shown is uanh7 1 Ts 4 f(t) 0 2T -1
Please all thank you Exercise 25: Let f 0,R be defined by f(x)-1/n, m, with m,nENand n is the minimal n such that m/n a) Show that L(f, P)0 for all partitions P of [0, 1] b) Let mE N. Show that the cardinality of the set A bounded by m(m1)/2. e [0, 1]: f(x) > 1/m) is c) Given m E N construct a partition P such that U(f, Pm)2/m. d) Show that f is integrable and compute Jo...
If A is an m × n matrix, and x is an n × 1 vector, then the linear transformation y = Ar maps R" to R", so the linear transformation should have a condition number, condar (x). Assume that |I-ll is a subordinate norm. a. Show that we can define condar (x)-|All llrI/IAxll for every x 0. b. Find the condition number of the linear transformation at[ 2] using the oo-norm. c. Show that condAr(x) IIA for all x....