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2.1 The ranges of 0 and $ as given by eq. (2.17) are not the only...
1. Consider the system described by: *(t) - 6 m (0) + veu(t): y(t) = 01 (1) 60 = {1, 1421 a) Find the state transition matrix and the impulse response matrix of the system. b) Determine whether the system is (i) completely state controllable, (ii) differentially control- lable, (iii) instantaneously controllable, (iv) stabilizable at time to = 0. c) Repeat part (b) for to = 1. d) Determine whether the system is (i) observable, (ii) differentially observable, (iii) instanta-...
1. Given i(t) Cut) Figure 2.1: Step voltage applied to a series RLC circuit. (a) Verify that the differential equation for v(t) is found as dt2 L dt LC LC (b) If v(0)-5 V and i(0)-OA. find the voltage response, u(t), for t >0 when v, 5V, R#330 n, L-100 mil, C., 0.1uF (c) Now suppose we replace the 5 V source in our circuit with a squarewave as shown below: w(t) Figure 2.2 From the response of v(t) that...
Solve the given initial value problem using the method of Laplace transforms. y'' + 3y' +2y = tu(t-3); y(0) = 0, y'(0) = 1 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Solve the given initial value problem. y(t) = | Properties of Laplace Transforms L{f+g} = £{f} + L{g} L{cf} = CL{f} for any constant £{e atf(t)} (s) = L{f}(s-a) L{f'}(s) = sL{f}(s) – f(0) L{f''}(s) =...
complete answers please... thanks! ♥️ 3. According to statistical theory, if any measurement of a given quantity has a deviation greater than 3e, a from the mean of that quantity, it is very unlikely that it is statistical variation, but rather is more likely to be a mistake. Cakulate the value of 3al Do any of your measurements of length have a deviation from the mean greater than that value? If so, calculate how many times larger than f De...
Q1) Consider an LTI system with frequency response (u) given by (a) Find the impulse response h(0) for this system. [Hint: In case of polynomial over pohnomial frequency domain representation, we analyce the denominator and use partial fraction expansion to write H() in the form Then we notice that each of these fraction terms is the Fourier of an exponentiol multiplied by a unit step as per the Table J (b) What is the output y(t) from the system if...
please do questions g and h... ONLY G AND H The three spin operators for an electron (which is a spin-1/2 particle) are $. - 1 (1 :). $=(: ;), $- (-). Suppose the electron is pinned in space but is subject to a magnetic field B = (0,0,B), so that its Hamiltonian H = -1B-S = - BS. Suppose an initial state of the electron is prepared so that (0)) = (?) a. Show that (0)) is a unit...
Given image Sorting Algorithm handout – the column on the far left contains an input array of 24 strings to be sorted or shuffled; the column on the far right contains the strings in sorted order. Each of the other numbered columns contains the contents at some intermediate step during one of the 6 sorting algorithms we have studied: Input SKIP SKIP 1 2 3 4 5 6 Sorted 0 left hash left flow byte byte lifo byte byte ...
Decode the string 0111101110111110000 using the given Huffman code. 0 0 I 10 с. 10 T 10 D R Rickets Rode Ο Ο Ο Ο Rocks O Rocket Is there an Euler cycle in this graph? to 2 6 d 15 C 2 3 No O Yes Is (a, b, e, f, a) 2 b be d is 5 4 3 I @ A cycle A simple path O O A simple cycle What is the shortest path and its...
6. Given orthogonal cutting, a = -5 degree , t=0.2mm .r = 0.4, w = 4mm Find a. tc, b. 0 C. B d. e. 8 7. Given orthogonal cutting, a = 20 degree , S =50,000 lb/in2, t0 =0.015 inch, v= 100 ft/min, w = 0.15 in, r = 0.5. Find a. 0, b. Fs, C. Fc, and Ft. d. F 8. Given the same as the previous problem except a = 20 degree andr =0.35 Find a. 0,...
PLEASE ANSWER ALL! SHOWS STEPS 2. (a) Prove by using the definition of convergence only, without using limit theo- (b) Prove by using the definition of continuity, or by using the є_ó property, that 3. Let f be a twice differentiable function defined on the closed interval [0, 1]. Suppose rems, that if (S) is a sequence converging to s, then lim, 10 2 f (x) is a continuous function on R r,s,t e [0,1] are defined so that r...