Homework Statement
Let g(x)= (2/3)*(x+1/(x^2)) and consider the sequence defined by pn= g(pn-1) where n≥1
a) Determine the values of p0 \in [1,2] for which the sequence {pn} from 0 to infinity converges.
b) For the cases where {pn} converges (if any), what is the rate of convergence...
I am struggling to understand interpolating polynomials and their errors. I have a problem off of a study guide here:
http://terminus.sdsu.edu/SDSU/Math541_f2012/Resources/studyguide-mt01.pdf
I understand that the composite simpsons rule is only exact for polynomials up to order 3, with error...
Homework Statement
Find the impulse response of a system with transfer function H(S) = (s+3)/(s^2+2s+1)
or H(S)=(s+3)/[(s+1)^2]
Homework Equations
Poles are s1=s2=-1
y = Ae^st + Be^st
The Attempt at a Solution
In my notes I do not have an answer for the case when there is...
My teacher actually said that using the rectangle function was the correct method of doing it, but didn't elaborate. All he said was set x(t) = sin(t)*rect(t/2pi)
Homework Statement
Find the Fourier transform of the following signal JUST by using the FT table and the FT properties
x(t) = sin(t) -pi<=t<=pi
0 otherwise
NOTE: I am using CONVOLVED WITH as a substitute for * (the real convolution operator) because I cannot express...
Homework Statement
y''-6y+9y=2 y(0)=y'(0)=0
*Note* Professor will NOT allow use of partial fractions, so please don't use it.Homework Equations
Laplace transform table
Y=[y'(0)+sy(0)+ay(0)+R]/[(s^2)+as+b]The Attempt at a Solution
Y=L(2)/(s-3)^2
L(2)=2/s
Y=(2/s)[1/(s-3)^2]...