Problem 3. (25 points) Two signals are multiplied as follows yf(t) clt) 2? where c(t) is the impulse train, c(t) = ??(t-k, with T = (a) (15 points) Let the spectrum of x(t) be sec. 3000 x(o) -1000 1000 Sketch the spectrum of y(t), Y(a). Can x(0) be recovered from y(t) using lowpass filtering? Why or why not? (b) (10 points) Repeat part (a) if the spectrum of x(0) is Ar(o) 2000 2000 and cu) remains the same. Can x(t)...
Let G be the following grammar: 1. S T 2. T O 3. T T 4. O V = E i [ E ] 5. V i 6. V i 7. E ( E) 8. E Construct the LR(0) DFA for this grammar a) b) Construct the LR(0) parsing table. Is it LR(o)? Why and why not?
Let G be the following grammar: 1. S T 2. T O 3. T T 4. O V = E i [ E...
8. Using Minitab to illustrate the Central Limit Theorem (CLT), the CLT tells us about the sampling distribution of the sample mean. With Minitab we can easily "sample" from a population with known properties (4,0 , shape). a. Our population consists of integer values X from 1 through 8, all equally likely P(x) = 1/8; x = 1, 2, 3, 4, 5, 6, 7, 8 o = 2.29 Using methods from the beginning of Chapter 4 in the textbook, find...
differential equations
Problem 2 Solve y"+y= ſt/2, if 0 <t<6, if t > 6 y(0) = 6, 7(0) = 8
find i0+. i'0+ and DE for t>0
0.25 7= 2 Bulesa o uc-ov
6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0<x<a, 0<t (2') u(0,y, t)-gi(v), u(a,y,t)-89(v) 0 <y<b, o<t (3) Show that the steady-state solution involves the potential equation, and indicate how to solve it.
6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0
Define the linear transformation T by T(x) - Ax. Find ker(T), nullity(T), range(T), and rank(T). 7-5 1 -1 (a) ker(T) (0.0) 0 (c) range() O R3 (6s, 6t, s - t): s, t are any real number) O (s, t, s-6): s, t are any real number) O ((s, t, o): s, t are any real number) (d) rank(T) 2 Need Help? Read It Talk to a Tutor Suomit Answer Save gssPracice Another Version Practice Another Version
Define the linear...
Find the laplace transform of g(t) | t', 0< t<2 7, 2< t 2 C(s): -25 + )e-23 fe + 2 c(s): -25 25=e - 23 + e(܊ -(;)c co)- .+ )e-23 C(o)= - + + $)e +;e-23 -25
Find the equation for Velt) for t>o. t=0 (1) 26 Vi (6) 42 9A 5F it=0 t=ot RAH + +
(2) Let De = {1, 0, 02, 03, 04, 0%, 7, OT, O2T, 07,041, 0 T} where o = 1 2 3 4 5 6 2 3 4 5 6 1 and T = 2 3 4 5 6 6 5 4 3 2 so that De is the dihedral group of degree 6. (i) (2 marks) Calculate to. (ii) (2 marks) Give two elements of De that have order 3. No explanation required. (iii) (4 marks) Give two subgroups...