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Problem 4.12 & Problem 4.14 ?
4.12 Suppose y is N4(u, 2), where 8 9 -3 6 3-3 23 μ= PROBLEMS 107 (a) Find the distribution ofz-: 4y1-2y2 + y3-3y4 (b) Find the joint distribution of zy y2y3y4 and z22yi + (c) Find the joint distribution of zı = 3y1 +N2-4y3-N4, z2--yı-3y2+ (d) What is the distribution of y3? (e) What is the joint distribution of y2 and y4? (f) Find the joint distribution of yi, 1(yi + y2), yit...
3. Calculate the [H*] in a solution that has a pOH of 4.12. a. 4.1 M b. 9.9 M C. 7.6 x 10-M d. 1.3 x 10-10M e. 4.2 x 10M 4. During the step-wise dissociation of the polyprotic acid H PO, in water, which of the choices below do not represent a conjugate acid/base pair? a. HPO,- and PO, 3- b. HAPO, and H,PO, C. H,PO, and HPO - d. H,PO, and PO,- e. H,0* and H,0 5. Fe...
Problem 4.14
(b) Show that R) (e) What is )? hs. 4.12. Compute fqu'l dz 4.13. Show, that, zas-0 for any closed piecewise smooth γ and any integer "t-1. (if" is negative, assume that γ does not pass through the origin, since otherwise the integral is not defined.) 4·1 4, Exercise 4.13 excluded " =-1 for a good reason: Exercise 4.4 gives a coun- terexample. Generalizing these, if m is any integer, find a closed path y so that 4.15....
Find the Laplace transform of e' sin(t). none of these s+1 2?+(3+1) s+1 q?+(3+1) a 22+(+1) O a c? +(5-1)
Need help with explanations, thanks!
Winter Midterm 1 AMS S ating high school seniors and the teacher-student ratio (# teachers/Students) in each Cali, high school. The correlation between these two variables was r 0.49 1. The California departmeat of education computed the average score on the verbal SATs of grue in schools where the teacher- (a) (2 pts) Fill in the blank: Test soores tend to be student ratio is smaller. (b) (2 pts) True orgalse This correlation supports the...
a set function, λ on S by λ((a, b) F(b)--F(a) and λ(0) 1. Show that if Eİ, E2 E S then Ei n E2 ES and Ei ~ E2 is a finite disjoint union of 0. sets in S 2. Show that the o-algebra generated by S is the Borel o-algebra on R. 3. Show that if E and Ea are disjoint sets in S and A U S, then (A) A(E)+A(B2). 4, Show that if E. .. ova natn...
4. Suppose (x) (3+4x)+e*. a) Use analytic methods to show f (x is one to one. b) Find () (28) Suppose g (x)--fx-12 + 3e 30-1 5x + e 2-x-8x + 17 . ₩5. c) Use analytic methods to show g(x) is one to one. d) Find (g") (4) 3x-2 6. Find the equation of the tangent line to the curve y -at the po int (Q,e)
(2) (a) For any O E [ 0 21] let -sino Cose x For Cosce sino 1² [ a b ] simplity any matrix A АХ 052 If A = and [33]... B =[2] C], find X-sored that A(x+B) = C. Q 2 (C) Let S be the set of matrices of the form As a a2 ag where arbitrary real numbers. Show there exists a unique matrix E in s such that A EA for all o in وگرنه...
12). Given the two equations: 2 C(s) + O2(8) 2 co(e) Ke=0.085 at 450 R CHOH(E)=CO+ 2 H (g). Kc = 62 at 450 R a) (10 pts) Find Kc for 2 C(s) +0.0) + 2 H.(e) = 2 CH,OH H =2 CH,OH(g) at 450 K ) Rc=ke(/RT) letolt- (a-bye "1.0 g of each component in part (a) is added to a 5.0-L flask held at 450 K, determine Q and state whether the reaction will proceed to make more...
Is this molecule the E or the Z isomer? Br CH3 CH3CH2 CH Br Select one: E isomer O Z isomer Can this molecule have R/S isomers? CH3 – CH – CH2 - CH3 | CH3 Select one: Yes, this molecule can have R/S isomers. No, this molecule cannot have R/S isomers. Is the isomer shown below the R or the S form? H CH2CH3 CI CH Select one: R isomer. Sisomer.