Pre eclampsia is described by three characteristics except:

Problem 1. (15 pts) Consider the system depicted in the above block diagram, with the input \(u\) and output \(y\). Note that the three blocks marked with “\(s^{-1}\)” are the integrators (i.e., “\(\int\)”).  Identify a set of state variables and derive the state space model of the system. Problem 2. (30 pts) Let \(A=\begin{bmatrix}1& 2\\-3&-4\end{bmatrix}\). (a) (5 pts) Find the eigenvalues of \(A\).  (Hint: they are two integers.) (b) (10 pts) Express \(A^{100}\) as a proper linear combination of \(A\) and the identity matrix \(I\). (c) (10 pts) Use your favorite method to find the analytic expression of \(e^{At}\). (d) (5 pts) Write the solution \(x(t)\) starting from x(0)={“version”:”1.1″,”math”:”x(0)=”}1-1{“version”:”1.1″,”math”:”1-1″} as a linear combination of the modes. Problem 3. (24 pts) Consider the matrix defined below (\(T\) is nonsingular): A=v1v2v3v4⏟T{“version”:”1.1″,”math”:”A=v1v2v3v4⏟T”}-0.5-110-10⏟J{“version”:”1.1″,”math”:”-0.5-110-10⏟J”}w1Tw2Tw3Tw4T⏟T-1{“version”:”1.1″,”math”:”w1Tw2Tw3Tw4T⏟T-1″} First consider the continuous-time LTI system \(\dot x=Ax\). (a) (2 pts) Is the continuous-time system stable, marginally stable, or unstable? Explain why. (b) (4 pts) Find all the modes of the system \(\dot x=Ax\). (c) (6 pts) For each of the following properties, determine if there exists some \(x(0)\neq 0\) so that the resulting solution \(x(t)\) satisfies the property. If yes, find one such \(x(0) \); If no, explain why. (i) \(x(t)\to 0\) (ii) \(x(t)\) is unbounded (iii) \(x(t)\) is bounded and does not converge to \(0\) Next consider the discrete-time LTI system \(x[k+1]=Ax[k] \). (d) (2 pts) Is the discrete-time system stable, marginally stable, or unstable? Explain why. (e) (4 pts) Find all the modes of the system \(x[k+1]=Ax[k] \). (f) (6 pts) For each of the following properties, determine if there exists some \(x[0]\neq 0\) so that the resulting solution \(x[k]\) satisfies the property. If yes, find one such \(x[0] \); If no, explain why. (i) \(x[k]\to 0\) (ii) \(x[k]\) is unbounded (iii) \(x[k]\) is bounded and does not converge to \(0\) Problem 4. (15 pts) Find the fundamental matrix \(\Phi(t)\) of the LTV system \(\dot x(t) = \begin{bmatrix} -\frac{1}{t+2} & e^{t} \\ 0 & -1 \end{bmatrix} x(t)\). Problem 5. (16 pts) Consider a system \(\dot x=Ax\) with \(x\in\mathbb R^3\) and \(A\in\mathbb R^{3\times 3}\).  Suppose the system has a solution x(t)={“version”:”1.1″,”math”:”x(t)=”}e-t+11+te-t(1+t)e-t{“version”:”1.1″,”math”:”e-t+11+te-t(1+t)e-t”}. (a) (5 pts) Find the eigenvalues of \(A\) and their Jordan block sizes. (b) (5 pts) Write the given \(x(t)\) as a linear combination of the modes of the system. (c) (6 pts) Find \(A\) and \(x(0)\) that results in the solution \(x(t)\). Congratulations, you are almost done with Midterm Exam 1.  DO NOT end the Honorlock session until you have submitted your work to Gradescope.  When you have answered all questions:  Use your smartphone to scan your answer sheet and save the scan as a PDF. Make sure your scan is clear and legible.  Submit your PDF to Gradescope as follows: Email your PDF to yourself or save it to the cloud (Google Drive, etc.).  Click this link to go to Gradescope to submit your work: Midterm Exam 1 Return to this window and click the button below to agree to the honor statement. Click Submit Quiz to end the exam.  End the Honorlock session. 

Lolly opens a coffee shop and applies to the U.S.P.T.O. for the trademark “Coffee.” Is she likely to be granted a trademark?

A child learns to fear dogs after being bitten. This fear developed through:

A veteran who has flashbacks and nightmares after combat likely has:

Emily experiences extreme mood swings between intense happiness and deep sadness. Which disorder best fits her symptoms?

Family therapy focuses mainly on:

A person who hears voices that are not present is experiencing:

This is to show you how the exam in Blackboard will look while using HonorLock, the Proctoring Software. You will only be required to use this for the Exam parts in Blackboard, you will not have to use it for the part in ALEKS.  Practice using the Math Editor to work this. Click in the text box below and choose the plus with a circle around it. Choose the Math Editor. It looks like a fancy f(x) and says Math. Solve for x in the triangle. Show the original equation you set up, then solve it. If you need to change something in your answer, click on what you need to change and then click on the Math Editor again. Solve for x in the triangle Final Exam MATH 2312 F23.jpg 2 x   + 3 y = 5

Legal restrictions on competition, control of a physical resource, and economies of scale are examples of _____________________.