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(b) (2 pts) (t) is given as r(t) e sin(t) Find X(jw). Show that X(jw) = 25 + (w- 1)225(w+1)2 (c) (4 pts) x(t) is given as x(t)-π inc(t) cos(nt). Find X(jw) (d) (4 pts) 2(t) is given as 2(t) e Áil+ 3) + e' ỗ(t-3). Find X (jw). Simplify the answer as (e) (4 pts) 2(t) is given as r(t) = rect(2(t )) reetgehj)). Hint: use Fourier Transform pair: sine(t)艹rect( ) much as possible Find X(jw). Simplify the answer...
FIND THE GENERAL SOLUTION Need ALL 4. Differential Equations class 13. x(t) E) (1) 2) st) 14. 7'(t) = ( 1 5 0 15. 7'(t) = ( 2 1 32 0 -20 x(t) - 1 16. 7'(t) = 3 0 2 1 -10 | z(t) -2 -1
PLEASE EXPLAIN a) O X(t) = 10 + 3t2, y(t) = 4, t€ (-7,-3] b) O x(t) = 12, y(t) = 13 + 3t +4, + € [49,9] c) O x(t) = t, y(t) = 40 + 372 +4, t € (-7, -3] d) O x(t) = 46 + 372 +4, y(t) = t, te [-10,3] e) O x(t) = tó +372 +4, y(t) = t, te[-7, -3]
9, X = 3, 4, 5, and 7; compute Σ, (ΣΧ), and ΣΧ2 10. X EX --3, 0, 1, and 2; compute Σ(X-1), and D3-3 11. X-3,4,5, and 7; Y-1,0,1, and 2 compute ΣΧΥ and (DIP X-3, 4, 5, and 7; Ys-1,0,1, and 2; compute ΣΧ'ya and Σ(X-2)(Y-3) 's 4, 5, 6, and 9; Y -1,-1, 1, and 2; compute ΣΥ2 and Σ(X-5)(Y+ 1) 12. 13.
Name For cadh e position v time graphs below illustrates the position of freo falling objectas. graph, determine the a initial height, h,; b. initial vclocity, v c. maximum height, d. final velocity, v, of the trip, e. total time of the trip. The acceleration of all object is -10 m/s? r(m) Position versus Time 140 120 100 80 G0 40 20 t(s) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 eight,h, n...
Find the instantaneous frequency of the next signal at t = 4. (a) x(t) = 10 cos[20xt+10 sin(t/4)) (b) x(t) = 262719) () X(t)=10[cos(2nt) cos(atº/4) + sin(24t) sin( nt/ 4)] Suppose that the information signal is as shown in the following figure. When each modulating this signal using 100KHz as the carrier frequency, find the frequency shift and phase shift when FM is modulated with 5,=10. What is the maximum frequency shift and maximum phase shift? 0.5+ -0.5 ost Suppose...
4. Let x E C1 (0,T]; R), T > 0 satisfy _ cos(t)x(t)H(t) + sin(t)2(t) = 0 for all t E (0,T). (a) Show that this defines a FODE for at least one T>0. 1 mark 2 mark (c) Find the potential and conclude (briefly) what is the solution space for the FODE for (b) Transform (possibly inverting) the DE into an exact DE. T. 2 mark 4. Let x E C1 (0,T]; R), T > 0 satisfy _ cos(t)x(t)H(t)...
I have solved the questions (a) to (c). Could you please help me with questions (d),(e),(f)? Thank you! 4. Suppose that(x,y), ,(XN,Yv) denotes a random sample. Let Si-a+bX, T, e+ dy, where a, b, c and d are constants. Let X = Σ x, and with the analogous expressions for Y, S, T. Let ớXY = N- ρχ Y-σχ Y/(σχσΥ), with the analogous expressions for S, T. = NT Σ(X,-X)2, . Σ(X,-X)(X-Y), and let (a) Show that σ = b20%...
ME EKSOL MGM101H C Get Homework Hel b a m weblogin idpzUni T Top Hat x + - 0 Question 7 Homework – Unanswered - Due in 15 hours Fill in the Blanks Price Quantity Demanded Elasticity of Demand $11 $9 --- 3 5 $7 Demand Schedule for Comic Books Total % Change in % Change in Expenditure Price Quantity [Box 1] [Box 2] [Box 3] [Box 4] Box 5] [Box 6] [Box 71 [Box 8] [Box 9] [Box 10]...
10 sin 2t if 0 <t< 4. (a) Let r(t) if t > T Show that the Laplace transform of r(t) is L(r) 20(1 - e - e-78) 32 + 4 (b) Find the inverse Laplace transform of each of the following functions: s – 3 S2 + 2s + 2 20 ii. (52 + 4)(52 + 25 + 2) 20e-S ini. (s2 + 4)(52 + 25 + 2) (c) Solve the following initial value problem for a damped mass-spring...