Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

zepdrixBest ResponseYou've already chosen the best response.0
Hmm interesting :O Ok let's get it plugged into the formula correctly, and see if we can figure this out. \[\huge \mathscr{L}\left[e^{(t1)^2}\right] =\int\limits_0^{\infty}e^{(t1)^2}e^{st}\;dt\]
 11 months ago

zepdrixBest ResponseYou've already chosen the best response.0
Hmm this one is a bit tricky. Let's first combine the exponentials using rules of exponents.\[\huge \int\limits\limits_0^{\infty}e^{(t1)^2st}\;dt\]
 11 months ago

zepdrixBest ResponseYou've already chosen the best response.0
Hmmm I can't quite get a handle on this one... You can combine the st into the equation and complete the square, I'm not really sure that gets us anywhere though.. hmmm @Mertsj @phi Maybe one of these smarty pants can help us.
 11 months ago

zepdrixBest ResponseYou've already chosen the best response.0
As far as the 0 to infinity question goes... The Laplace Transform transforms us from one domain to another. Notice how the variable changes from t to s? There are many applications I'm sure, but one way we can think of it is going from the time domain to frequency. If you think of starting with time, we can't really integrate before time t=0. It doesn't have a nice interpretation, at least not in most cases. So we're just integrating over the entire domain of t, and it spits out a function of something else.
 11 months ago

zepdrixBest ResponseYou've already chosen the best response.0
Let's look at the exponent a minute, maybe we can get somewhere with this.\[\large (t1)^2st \qquad = \qquad t^22t+1st\]Which by combining the t terms, gives us,\[\large t^2(s+2)t+1\] From here.... I guess we could maybe complete the square and see if it takes us anywhere :\ It doesn't look like it will though.. hmmm
 11 months ago

zepdrixBest ResponseYou've already chosen the best response.0
Yah the site gets a lot of visitors.. slows down sometimes :(
 11 months ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.