4

0 <t < 31 The Laplace transform ofthe given function f(t) = {$i sin(t) % < tA) c(f()) =e++5+7 1 B) L(f(t) = -e#_ 82 + 1 30: 1 C) c(f(t)) = -e 82 + 1 D) c(f...

Question

0 <t < 31 The Laplace transform ofthe given function f(t) = {$i sin(t) % < tA) c(f()) =e++5+7 1 B) L(f(t) = -e#_ 82 + 1 30: 1 C) c(f(t)) = -e 82 + 1 D) c(f(t)) =-e-# 82 + 1

0 <t < 31 The Laplace transform ofthe given function f(t) = {$i sin(t) % < t A) c(f()) =e++5+7 1 B) L(f(t) = -e#_ 82 + 1 30: 1 C) c(f(t)) = -e 82 + 1 D) c(f(t)) =-e-# 82 + 1



Answers

In each part, find the Laplace transform. (a) $f(t)=t, s>0$ (b) $f(t)=t^{2}, s>0$ (c) $f(t)=\left\{\begin{array}{ll}0, & t<3 \\ 1, & t \geq 3\end{array}, s>0\right.$

Hi. Today we're discussing the black last transform off three functions. What's common to all the function is that they're equal to each of the tea. Accepts asked financially many points, which means that all into girls of thumb are going to be equal in particular. This means that the lack last transform of any of the three functions given is gonna be equal to the lap. Last transform off U to the T, which is equal to one over X minus one when we're looking at the end of US lack last transformer malfunction. We're actually looking for the continuous function. Who's like last transformers? One of ass minus one. So the actual act last transformer is gonna be to the tea or the third function Give him because it's the only continuous function. Yeah,

Okay, so I got the periodic function, which is defined as being eat the T between zero and one and its periodic with period. Big T is equal to one. So what is the LaPlace transform while from theorem 10.3 point three, the plaice transformers 1/1, minus E to the minus. Ask times period multiplied by the integral from zero to the period of each of the minus esti times by the function. So this becomes a very simple into girl. Andi, integrating this. We get minus this between zero and one. So evaluated at one. This is eat zero. So it's just one my minus one over us, minus one. And then that's plus because it's minus minus. Plus one over asked, minus one times. Sorry. Okay. So, yeah, we're evaluating T is equal to one and t Z zero. Right? So this is gonna be that and then minus, But then that's gonna be a plus. One over Asked, minus one. And that's it. Okay, so this is the answer to our problem. Okay. If we wish, we can combine it into a single common denominator. Okay? That's it.

Hello and Welcome to Probleble 24 of Chapter six, Section 3 you're asked to find the applause transform the given function. And this function is a peaceful dysfunction which means we can rewrite this in terms of heavy sites. So I'm gonna rewrite this um simply it's U sub one of t zef of two. And we're asked to find the laplace transform of Fft. and from chapter 6.3 We know that um you subsea of T tom's F of T minus C is equal. We'll do like this little post transfer of that is equal to eat the minus C. S times capital F. Of S. And then in this case we have a subsidy and it might not be so obvious but we do have an F F T minus C which is just one. So in this case we'll have a particular place transfer will have E to the minus S times little post transform of one, which is just one of us. So capital Abbas of the main function is equal to E to the -1 over us. And that concludes our problem


Similar Solved Questions

5 answers
Dfewater 1 Cotouulen compicte1 1 Jnorg Entiro the following reiction V Robry 1 hi
Dfewater 1 Cotouulen compicte 1 1 Jnorg Entiro the following reiction V Robry 1 hi...
5 answers
Exercise 7.1.13 Find the eigenvalues and eigenvectors of the matrix2 -I ~4 10 3One eigenvalue is -3.
Exercise 7.1.13 Find the eigenvalues and eigenvectors of the matrix 2 -I ~4 10 3 One eigenvalue is -3....
5 answers
Let X1, X25 be sample from a normal distribution having a variance of 100. Find the rejection region for a test at level & = 10 of Ho: pl 0 versus Ha: A = 1.5. What is the power of the test? Repeat for & = .01.
Let X1, X25 be sample from a normal distribution having a variance of 100. Find the rejection region for a test at level & = 10 of Ho: pl 0 versus Ha: A = 1.5. What is the power of the test? Repeat for & = .01....
5 answers
Gas? of the the volume what is 8 g 2.65 atmgas ideal If 79.5 mol of an
gas? of the the volume what is 8 g 2.65 atm gas ideal If 79.5 mol of an...
5 answers
Iin(2'-Xt4 5-4) 2t Evaluate lim 42 using table method.HC)
Iin(2'-Xt4 5-4) 2t Evaluate lim 42 using table method. HC)...
1 answers
Using problem $10,$ write $\mathbf{A} \cdot(\mathbf{B} \times \mathbf{A})$ in tensor notation and show that it is $=0$
Using problem $10,$ write $\mathbf{A} \cdot(\mathbf{B} \times \mathbf{A})$ in tensor notation and show that it is $=0$...
5 answers
Rx) = %- X2 3 absolute maximum valueabsolute minimum valueIocal maximum value(s) Iocal minimum value(s) Need Holp? Readht
Rx) = %- X2 3 absolute maximum value absolute minimum value Iocal maximum value(s) Iocal minimum value(s) Need Holp? Readht...
5 answers
A particle starts from x = 0 with no initial velocity and receives aacceleration of 𝑎 = √(𝑣^2 + 16), where a and v are expressed in feet/s^2 and feet/s, respectively. Determine (a) the position of the particle in v = 33 ft / s b) the speed and acceleration of the particle when x = 33 feet.
A particle starts from x = 0 with no initial velocity and receives a acceleration of 𝑎 = √(𝑣^2 + 16), where a and v are expressed in feet/s^2 and feet/s, respectively. Determine (a) the position of the particle in v = 33 ft / s b) the speed and acceleration of the particle whe...
5 answers
Use this online Aulo Lojn Schiedule Bencrate schedule far the option you picked_ Yau May use the assumed tax faleand that (ees are NOT part = the loan Ibox uncheckedl; What pertentage af the total interest paid off after % the term has eljpsed? What percentage the total interest paid off after % of the term has elapsed?
Use this online Aulo Lojn Schiedule Bencrate schedule far the option you picked_ Yau May use the assumed tax faleand that (ees are NOT part = the loan Ibox uncheckedl; What pertentage af the total interest paid off after % the term has eljpsed? What percentage the total interest paid off after % of ...
5 answers
In Exercises 1-6, set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the r-axis.1. y =-r+ 12. y = 4 5 x223. y = Vx4. yV9X2
In Exercises 1-6, set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the r-axis. 1. y =-r+ 1 2. y = 4 5 x2 2 3. y = Vx 4. y V9 X 2...
5 answers
Set up the definite integral for the volume of the region bound by the curves and revolved about the indicated axis by the indicated method: Do not simplify or evaluate the integral: Use desmos.com to graph the curves=1_%, x = 0about the line x = 3by disks or washers
Set up the definite integral for the volume of the region bound by the curves and revolved about the indicated axis by the indicated method: Do not simplify or evaluate the integral: Use desmos.com to graph the curves =1_%, x = 0 about the line x = 3by disks or washers...
5 answers
Assume that Xis normally distributed with mean of 70 and variance of 9,then compute P(60 < X < 75)
Assume that Xis normally distributed with mean of 70 and variance of 9,then compute P(60 < X < 75)...

-- 0.070226--