2 uF 10 kQ U2 U1 0 3 H U2 U1 7 H 10 uF 2 H U2 U1 0 Define for given systems Ordinary Differential...
(1 point) 0 Given v 3 find the linear combination for v in the subspace W spanned by 0 0 3 3 and 114 , u2 = , из- 4 4 Note that ul , u2 , u3 and 14 are orthogonal. u1+ 7 U2 ll4 (1 point) 0 Given v 3 find the linear combination for v in the subspace W spanned by 0 0 3 3 and 114 , u2 = , из- 4 4 Note that ul...
Partial Differential Equations. Show using the energy arguments that the solutions to this boundary value problem are unique. i.e. u1=u2. u(r, 0) a(0,t) = f(t), a(L, t) = h(t) u(r, 0) a(0,t) = f(t), a(L, t) = h(t)
3) RLC Parallel Circu its: Differential Equations and Laplace U2 U1 TOPEN 0 TCLOSE 0 CL1 R1 0.15H C1 2E-8F 1 10E-3 2 J 10E-3 Att-0, U1 closes and U2 opens. 3.1: What is the intial (t-0+) current through the capacitor? What is the inital (t-0+) voltage across the capacitor? 3.2: What is the DC steady state current though the capacitor as t goes to infinity? 3.3: Find the current through the CAPACITOR as a function of time for R...
Exercise 3 Consider open subsets U1 and U2 of the unit cicle Sl given by Ui = U2 = {(cosa, sin a): a € (0,27)} {(cosa, sin a) : a € (-7, 7)} Define functions 41U 42 : U2R R given by 41 (cosa, sin a) = a given by 42 (cosa, sin a) = a Prove that A = {(U1,41),(U2,42)} is a smooth atlas for S.
3. Let U1, U2,. be a sequence of independent Ber(p) random variables. Define Xo 0 and Xn+1-Xn +2Un-1, 1,2,.. (a) Show that X, n 0,1,2, is a Markov chain, and give its transition graph. (b) Find EX and Var(X) c)Give P(X
0.02 uF, 15. (TCO 7) For the circuit shown below, R1-10 KQ, R2 = 10 ??, R3 = 10 KQ, determine the values of 1) geometric center frequency: 2) the Q factor; and 3) the Bandwidth C1 C2 = 0.02 uF C1 k. K3 Figure 9-18, page 443 in textbook (Points 10) Spellchecker
1- 2- 3- 1 (10 points) Show that {u1, U2, U3} is an orthogonal basis for R3. Then express x as a linear 3 4 combination of the u's. u -3 U2 = 0 ,u3 5 6 -2 2 -1 (10 points) Suppose a vector y is orthogonal to vectors u and v. Prove that y is orthogonal to the vector 4u - 3v. 10. (2 points each) True or False: ( ) Eigenvalues must be nonzero scalars. ( )...
Only need the last question 5 thanks! 3) RLC Parallel Circuits: Differential Equations and Laplace U2 U1 TOPEN 0 TCLOSE 0 L1 R1 0.15H C1 2E-8F 11 10E-3 2 10E-3 At t 0, U1 closes and U2 opens. 3.1: What is the intial (t-0+) current through the capacitor? What is the initial (t=0+) voltage across the capacitor? 3.2: What is the DC steady state current though the capacitor ast goes to infinity? 3.3: Find the current through the CAPACITOR as...
(1 point) -1 -4 a. Given that V1 [ 2] and U2 --10 are eigenvectors of the matrix _2] determine the corresponding eigenvalues. 4 11 = 12 = = -4x b. Find the solution to the linear system of differential equations x' y' satisfying the initial conditions x(0) = -3 and y(0) = 4. 4x – 2y x(t) = y(t) =
The state variable model of the two tanks process is given by the equations r1 10 01 r1o 2 0-1 lu Tank 1 Tank 2 Explain the differential equations for the tanks Draw the block diagram for the system model * .Modify the block diagram to realize the system model by first order transfer functions: 1+Ts Determine the controllability and observability of the system model Design a full-state feedback with the eigen values λ-λ2--2 of the closed loop system Design...