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...
34 35 36 37 38 39 40 41 42 42 43 44 Question 42 of 44 (1 point) Attempt 1 of 1 | 3h 33m Remaining 112 Section Exercise 13 - 16 (cal Compute the least-squares regression equation for the given data set. Use a TI-84 calculator. Round the slope and y-intercept to at least four decimal places. ole 9 5 7 13 -8 - 2 6-10 4 3 32 37 1 5 -1 -13 FTP X ע Send data...
please do only 5 and 7 PART II. Manually solve each of these diagonal systems. 5. Y'(x)=10-5 6, Y'(x)=| 0-5 0 |Yu), Y(0)=| 0-2 3 1 -1 0 Y(0)=| 0-4 3 0 0-2 7. Y'(x)=10-7 |Y(x), 0 0 0 3 PART II. Manually solve each of these diagonal systems. 5. Y'(x)=10-5 6, Y'(x)=| 0-5 0 |Yu), Y(0)=| 0-2 3 1 -1 0 Y(0)=| 0-4 3 0 0-2 7. Y'(x)=10-7 |Y(x), 0 0 0 3
Assignment 2 PART 1. 1. Use the dataset below to run a regression where x1 and x2 are the independent variables and y is the dependent variable. y x1 x2 2 10 9 88 5 6 19 10 6 18 5 2 30 3 2 What is b1 (the coefficient on x1) for this regression? Round your answer to four decimal places. 2. Use the dataset below to run a regression where x1 and x2 are the independent variables and...
41&43 In Problems 41-46, use the given information and appropriate identities to find the exact value of the indicated expression. 41. Find sin(x + y) if sin x = 1/3, cos y = -3/4, x is in quadrant II, and y is in quadrant III. 42. Find sin(x - y) if sin x = -2/5, sin y = 2/3, x is in quadrant IV, and y is in quadrant I. 43. Find cos(x - y) if tan x = -1/4,...
Given the antisymmetrized orbital wave function: Y = C[97(1)42(2) – 9/11)41(2)] where 41 and 42 are any two different space orbitals. Show that the wave function vanishes if both electrons are at the same location.
control system with observer Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measured output. 1. Find the transfer function of the system. 2. Design a state feedback controller with a full-state observer such that the step response of the closed loop system is second order dominant with an overshoot Mp settling time ts s 5 sec. Represent the observer-based control system in a compact state space form. 10%...
ut = Kuzz-cr(z-L) where u = u(x, t) for 0 L and t 0 a(0,t) = 1 (a(L, t) = 1 where к.с > 0 are constants. For all plots in this lab, we will take c-2, к-3. L-1, but L will otherwise be left unspecified We were unable to transcribe this image ut = Kuzz-cr(z-L) where u = u(x, t) for 0 L and t 0 a(0,t) = 1 (a(L, t) = 1 where к.с > 0 are constants....
about the line y -1. 2. (10%) Given the graph of y = U(x) as shown, and it is known that for 0 sx <2, for 2 4 3(1-2*) for z > 4. 0 ) (ii) lim U(6) Evaluate () (U(2)+1), (l (iv) U'(4),(v) lim U() [Show succinctly your calculation or argument.] P.2 of 6 about the line y -1. 2. (10%) Given the graph of y = U(x) as shown, and it is known that for 0 sx 4....
l, t)4u (x, t), 0<x< L, 0 <t Evaluate u(1.1; 0.3) where u(x, t) u(0, 1)= u(L, t)- 0v1> 0 u(x, 0)= f(x), u,(x, 0)- g(x), 0<x< L L=T al f(x) 3sin 2x, g(x)=-2sin 3x b/ For f(x)-xn-x & g(x)-0, approximate numerically u(x, t) by the first term. L-S c/f(x)=-3sin g(x)- 5 2sin d/ f(x)-0, g()= .3 x +1 approximate numerically u(x, t) by the first term c/ f(x)-2(5-xx, g(x) x+1 3 approximate numerically u(x, t) by the first couple...