could you explain in depth on how to do this laplacd transformation Freeze hace a>0 Calculate...
e Let f(t) be a function on [0, 0). The Laplace transform off is the function F defined by the integral F(s) = s e -stf(t)dt. Use this definition to determine the Laplace transform of the following function. 0 0<t<3 f(t)= 4, 3<t e 6-35 s-1 4 The Laplace transform of f(t) is F(s) = + e - 3s for all positive s# 2 and F(s) = 3+2 e -6 2-S S otherwise. (Type exact answers.)
1.The following function does not have a Laplace transformation 2.The Laplace transformation for () is 3.If f(s). g(s) represent the Laplace transformations for f(t). g(t) respectively, then the transform of h(t)= () is h(s)= PS: D is for none of the above Please justify answer Thanks in advance 1. La siguiente funcion NO tiene transformada de Laplace a. f(t) = eta b. g(t) = sin 4t c. h(t) = 21 d. ninguna de las anteriores 2. La transformada de Laplace...
0<t<T when Tt< 2 t 2T sin t when 2. Calculate the Laplace transform of the periodic function f(t) 0 f(t-2) when -7s 3. Calculate the inverse Laplace transform of G(s) 3-4e-5 + $2+2s+17 4. Use the Laplace transform to solve each initial value problem: 4y"+ y u2m(t)sin(t/2) y(0)=0 &(0 =0 (a) 0 and /(0) 2 "+4y+13y = 4to(t-T) if y(0) (b) 5. Use the convolution to write a solution of each initial value problem. y"+6y'+10y g(t) 1 y(0) 0...
2. Calculate the Laplace inverse transform using Matlab and simplify their results, and also solve them manually. [20pts] F(s)= 6/s -1/(s-8) + 4/(s-3) H(s)=19/(s+2) -1/(3s-5) + 7/(s5) F(s)= 6s/(s2+25) + 3/(s2+25) G(s)= 8/(3s2+12) + 3/(s2-49)
true ir false. PLEASE answer asap! 1. If () is defined for t > 0, then its Laplace transform is given by S e rt)ds 2 c(cos 2t) - .. 3. с{:} = 4 4. (6e-ге) = 5. (ut – 3) + 2 (t – 5)) = " + 2 но оо оо оо wo oo o o o o 6. If (6) had period 4, then then c{f() = -le-stf(t) dt 7. г-1 А) = 3t?
Page 3 Name (please print) III (10) When solving this problem show all the steps needed to transform the expressions into ones that can be found in the table and indicate the entry of the table used in each step. a) Find the Laplace transform F(s) of the function (3-24 + 5e") sin(Tt) b) Find the inverse Laplace transform f(t) of the function F(s) = 9 32 +8-20 S()--'{F(s) 1. i Table of Laplace Transforms F(x) = {/0) (1)-2-(F) F(s)-...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. Question 1: a) Show from first principles that the Laplace transform of the function f(n)=1, 120 is f(s) = Make a note of any conditions imposed on the transform variable "s" to ensure the transform exists. (8 Marks) b) Find, using the appropriate theorem, the Laplace transform of a function f(t); b) f(t) = t.sin(56) OR ii) f(t) = 5 sin 2(t - 3). H(t...
(b) The signal f(t) is shown in the figure below 3 2 f(t) _ 0 I 1 -4 -3 -2 -1 0 1 2 3 4 5 6 7 t and is given by 21 (1) + 3A (132), where A is the triangle function defined as 10-{ It a It <a It > a 0 Write the Fourier transform F [A(t)] (s) of f(t) exploiting the fact that FA(t)](s) = sinc-(s) where sin(TTS) sinc(s) ITS and the theorem for...
Problem #5 Calculate the Laplace Transform of f(t) if 1 + 2 e-t/2 + 5 cos(t/3) + 6 sin(t/4). f(t)s hen obtain the positive value of the parameter of the Laplace Transform for which the value of the transforn sequal to 1, round-off the number you have just found to three figures and present it below (20 points): (your numerical result for the value of the parameter must be written here)
Only #23,27,33,41 step by step neatly please In Problems 5-21 through 5-30, determine the inverse Laplace transforms of the functions given using Table 5-1 (and Table 5-2, if appropriate). 5-21 V(s) = 5+ 3 3 4 5-22 1(s) = 2 + + SS 5-23 32 F(S) = 2 + 64 SYE 6-24 10s 1(s) = 2 + 25 5-25 V(s) = Os + 15 8² +9 delta In Problems 5-31 through 5-48, determine the inverse transforms of the functions giv...