
Please answer all parts with full, complete solutions and PLEASE explain all steps! My exam is in a few hours, i know nothing, and the textbook solutions are just answers with no solutions, but i'm trying to understand :)


Please answer all parts with full, complete solutions and PLEASE explain all steps! My exam is...
Please answer all parts with full & clear solutions so I can
understand :)
2. Consider the following system of ordinary differential equations, 3 y1 (t) 4у (t) dy1 (t)/dt dy2 (t)/dt 4y2(t), 3 y2(t) with initial conditions yı(0) = 1, y2(0) = 0. (a) Write down the system of ordinary differential equations in matrix-vector form. You should also give the initial conditions in vector form. [2] [6] (b) Find exp(At), where A is the matrix you found in (a)....
Please answer all three parts.
(i) Take the laplace transform with respect to t
(ii) Solve the resultant integral in x
(iii) Solve the result from s-space to t-space using the
Bromwich integral
2. Obtain these integrals by (i) taking the Laplace transform w.r.t. t, (ii) solving the resultant integral in I, and then (iii) inverting the result from s-space to t-space using the Bromwich integral (b) g(t) = po sin(t I) de (12+1)
Please show all steps, I'm practicing for an exam. Thanks!! The path of a fighter jet is described by r (t) = (10−3t^2) i − (5/t^2) j + te^(3−3t) k , where distances are measured in kilometers (km) and t in minutes (min). A laser is fired in the tangential direction toward a target on the x-axis at the time t0 = 1. (a) What point on the x-axis does the laser hit? (b) Suppose the laser travels twice the...
Please answer all parts with full, clear solutions so i can
understand :) :)
Q2 (6 points) If C is a smooth plane curve with parametrization r r(t),t E [a, b], then the curvature K(t) of C at the point r(t) is defined to be the magnitude of the rate of change -ll dT of the unit tangent vector with respect to the arc length. That is, = ds () [2p] Show that K(t) = ||F (C) xr" (t)|| r...
Please answer all parts with full & clear solutions so I can
understand :)
5. If B and C are square matrices, then prove the following properties: (a) If B and C commute, then Bect = et B. (b) eCBC-? = CeBC-1.
Can you write hand solutions and matlab code please?
Q3) There is a square wave with the period of T=21. The amplitude is 3 between 0 and it The amplitude is 0 between 1 and 2 T. 2 3 4 5 a) Find the Fourier series coefficients of this square wave. a = x()ật Il x(t)cos(kt)dt bx = ( x(t)sin(kt)dt b) Using Matlab, plot the truncated Fourier series; (1) For k 0 to 10 (II) For k 0 to 1000...
Please explain and show all the steps instead of just giving an
answer.
(Production function) Condsider a representitive firm with a production function which is (i) twice continuously differentiable; (i) exhibits positive and diminishing marginal product and (iii) has constant return to scale: 1. Y = F(K, L) Given the capital rental price R and the wage w, and the good price P is normalized to 1, the firm can choose K and L to maximize its profit: max F(K,...
Please do ALL parts. Please explain all STEPS including the
factorization theorem step. I am trying to understand this
material. Please Please be NEAT.
2. Let X1, X2, ..., X, be a random sample from N(0,0%). • Find a sufficient statistic for o? • Show that the maximum likelihood estimator for o? is a function of the sufficient statistic.
Please solve the above 4 questions.
1. Using the extended Euclidean Algorithm, find all solutions of the linear congruence 217x 133 (mod 329), where 0 x < 329 (Eg. if 5n, n 0,. ,6) 24 + 5n, п %3D 0, 1, . .., 6, type 24 + x< 11 2. Find all solutions of the congruence 7x = 5 (mod 11) where 0 (Eg. if 4,7 10, 13, type 4,7,10,13, none. or if there are no solutions, type I 3....
Need help on my practice exam! Thank you
12. Assign formal charges to all the O atoms in the following form for H PO, a. 0 for all oxygen atoms b. 2 for oxygen I, 2 for oxygen II, and 1 for oxygen III c. -1for oxygen 1,0for oxygen II, and-lfor oxygen Ⅲ d. 0 for oxygen I, 0 for oxygen II, and-1 for oxygen III e. 4 for oxygen I, 4 for oxygen II, and 6 for oxygen III...