Alyeski Tours operates day tours of coastal glaciers in Alaska on its tour boat the Blue Glacier. Management has identified two cost drivers-the number of cruises and the number of passengers-that it uses in its budgeting and performance reports. The company publishes a schedule of day cruises that it may supplement with special sailings if there is sufficient demand. Up...
Alyeski Tours operates day tours of coastal glaciers in Alaska on its tour boat the Blue Glacier. Management has identified two cost drivers-the number of cruises and the number of passengers-that it uses in its budgeting and performance reports. The company publishes a schedule of day cruises that it may supplement with special sailings if there is sufficient demand. Up...
4. (10 points) Find the solution to the wave problem Ut = c+421 +COSI, <0, t>0, with initial conditions u(1,0) = sin r, 4(1,0) = 1+I.
Use the graph of f to sketch each graph. (0,5) (-3,0) (3, 0), -5 5 (6,-4) (6, -4) ()yfx5) 1아 10 A X -5 -10 5 10 -10 10 -10 -10 1아 X -10 5 5 10 -10 -5 5 10 -10 -10 -f(x) (b) 5 y V 10 10 -10 10 -10 5 10 -10 10 10 X -10...
4. Let {Sn, n > 0} be a symmetric Random Walk on Z. with So-0. Defined Y max{Sk, 1 Sk n, for n 2 0, prove, thanks to a counterexample, that Y is not a Markov Chain.
Find a solution 10. y" – 2y' + 2y = 2x, y(0) = 4, y'0) = 8.
(4) Consider the IVP 9y" + 6y' +2y = 0, y(37) = 0, y/(3x) = }: a) Determine the roots of the characteristic equation. b) Obtain the general solution as linear combination of real-valued solutions. c) Impose the initial conditions and solve the initial value problem.
For the differential equation y" + 4y' + 13y = 0, a general solution is of the form y = e-2x(C1sin 3x + C2cos 3x), where C1 and C2 are arbitrary constants. Applying the initial conditions y(0) = 4 and y'(0) = -17, find the specific solution. y = _______
Define the joint pmf of (x, y) by f(0, 10) = f(0, 20) = 4 / 30, f(1, 10) = f(1, 30) = 1 / 30, f(1, 20) = 1 / 30, f(2, 30) = 197 30 Find the value of the folowing. Give your answer to three decimal places. a) E(Y | X = 0) = 15 b) E(Y...
Question 5 15 marks] Let X be a random variable with pdf -{ fx(z) = - 0<r<1 (1) 0 :otherwise, Xa, n>2, be iid. random variables with pdf where 0> 0. Let X. X2.... given by (1) (a) Let Ylog X, where X has pdf given by (1). Show that the pdf of Y is Be- otherwise, (b) Show that...