JUST THE ANSWER QUESTION 2 The result for the following expression (Ⓡe-3t 8(t-2)dt = ? is...
answer 1,2,3,4 thank you. HW4.5: Problem 1 Previous Problem Problem List Next Problem 1 point) Evaluate each of the integrals (here &(t) is the Dirac delta function) (60-3)dt (2)cos(3t)S(t -2) dt- (3)/eTst cos(4t)(t - 3) dt - c0 sin()(t - 5) dt- HW4.5: Problem 1 Previous Problem Problem List Next Problem 1 point) Evaluate each of the integrals (here &(t) is the Dirac delta function) (60-3)dt (2)cos(3t)S(t -2) dt- (3)/eTst cos(4t)(t - 3) dt - c0 sin()(t - 5) dt-
Simplify the following expression. (2 +t+ 7) dt LO х d S (2+2 +++7) dt = dx 5
Problem 2. Evaluate the following integrals: a) (t+1)8(t-1)dt b) ſ exp(-+)$(t + 2)dt c) Itsin() 062 – 1)dt
Consider the following differential equation for A = 4 and B = 4: y''(t) + Ay'(t) + By(t) = 1u(t) + -1t u(t) where u(t) is the unit step function. Assume initial conditions: y'(0) = -4 y(0) = 2 Solve this differential equation to obtain an answer of the form shown below. Enter the value for the coefficient c3. Please enter your answer as a number in decimal format (not a fraction). y(t) = co0(t) + Ga(t) + c2 ta(t)...
use MATLAB Q1. Find the Laplace Transform: f(t)=8t?cos(3t+45) syms t use symbolic expression theta-45*pi/180 change 45 degree to a real number f-8 t 2*cos (3*t+theta); 8 this is the function pretty (f) 8print this functiont F-laplace (f);8 run Laplace Transform% F-simple (F); 8simplify or shorten the result pretty (F) print the result
dan Multiplication by t. 8. Find the following Laplace transforms using the formula L[t"f(t)] = (-1)", (a) [t3e-36] (b) C[(t + 2)2e'] (c) C[t(3 sin 2t - 2 cos 2t)] (d) L[tsin t] (e) C[t cosh 3t) (1) [(t-1)(t - 2) sin 3t] (g) [t3 cost] 9. Applying L[t"f(t)] = (-1)", , calculate (a) Sºte-3t sin t dt (b) Scºt?e-t cost dt recimento e contato Llegarsim 225 (-1)" IEC d'Fs) dsh
4. (1 mark) Find the numerical value of each integral. a) x)-8(+3)-28(40)]d b) x(t) ?..J(3t-2n) dt. as (1 mark) Find the signal energy of the following signals a) x(t)u(t)-u(10- t) b) x(t) rect(t)cos(2nt)
If z=sin(x/y) , x=3t , y=5−t^2 dz/dt using the chain rule. Assume the variables are restricted to domains on which the functions are defined. dz/dt=
(1 point) Evaluate the following: b.(3+e 2)8(t - 9) dt- (3 + e 2t)<s(t) dt-
Consider the problem minimize 1[r(-)] = 2 / r,(t)2 dt subject to the conditions r(0) - r(T)0 and the constraint 0 r(t)2 dt 1. = Suppose that r : [0, π] R is a C2 function that! solves the above Let y : [0, π] R be any other C2 function such that y(0) Define problem a(s): (r(t) + sy(t))2 dt and a(s) a. Explain why a(0) 1 and i'(0) 0. b. Show that i'(0)= | z'(t) y' (t) dt-X...