Are you sure the limit applies to the 10 as well? When my professor did this type of problem she only applied the limit to the fractional part. I'm so confused because my professor, the solutions manual, and you are all saying different things so I have no idea what is correct.
How did you get infinity for lim s → ∞ sF(s)? This says it's 25:
http://www.wolframalpha.com/input/?i=lim+as+x-%3Einfinity+%2825x^2%2B45x%29%2F%28x^2%2B6x%2B5%29
I don't see how you got those results though, because my calculator gives lim s → ∞ sF(s) = 25, whereas that's what you got for lim s → 0 sF(s). And for s → 0 sF(s) it gave me 0 as the answer.
Homework Statement
Find f(t) for the function F(s)=(10s^2+85s+95)/(s^2+6s+5) and apply the initial and final value theorems to each transform pair
Homework Equations
Initial value theorem: f(0)=lim s->∞ s(F(s))
Final value theorem: f(∞) = lim s->0 s(F(s))
The Attempt at a Solution...
Homework Statement
Find f(t) for the function F(s)=(10s^2+85s+95)/(s^2+6s+5) and apply the initial and final value theorems to each transform pairHomework Equations
Initial value theorem: f(0)=lim s->∞ s(F(s))
Final value theorem: f(∞) = lim s->0 s(F(s))The Attempt at a Solution
After dividing...
I see what you mean now, but since I only have to go to n=100 I guess I don't have to worry about that here. But I don't know if I'm supposed to change the step size partially into it, or do a separate run of euler's method with a different step size. Since the directions says to use only one...
This problem is 10% of my final grade (and due tomorrow) so I want to make sure I'm doing it correctly. From the directions it says it's supposed to converge, but it doesn't look like it does unless I'm missing something. It converges at around 6.299, with n = 100,000. I also verified it by...
Homework Statement
http://img853.imageshack.us/img853/5578/euler.png Homework Equations
y_(n+1)=y_n+f(x_n,y_n)h
The Attempt at a Solution
With n = 100 and step size h = 0.01, I got y_100 = 3.1515
I don't see how this is right, because the directions imply that it's supposed to be accurate...
Well theorem 3.1.1 is a paragraph long, and not really an equation either. I'm not sure about letting c=-3 though, the only reason I did is because wolfram had it as part of the answer but I don't see how.
Homework Statement
y''-4y=12x
Homework Equations
I don't know
The Attempt at a Solution
http://imageshack.us/a/img7/944/20130207102820.jpg
I'm not sure if I did this right, I'm putting this here to make sure. Please respond within 3 hours if you can because it will be due.
Homework Statement
r(t)=<t^2,lnt,tlnt>
Homework Equations
k= |T '(t)| / |r '(t)|
The Attempt at a Solution
My professor's answer sheet solved the problem using the other method, k(t)=|r '(t) x r ''(t)| / |r '(t)|^3
and that answer ends up being 0.3, while mine is 0.4. I...