For g=Hf = sin (f), use a Taylor expansion to determine the range of input for which the operator is approximately linear within 10 %
The taylor series from 0 to 1 , the linearization, is the most appropriate equation
The Attempt at a Solution...
Linearize the system operator illustrated below by applying a Taylor series expansion.
f(t) ----> e^f(t) -----> g(t)
I only find the general form of a taylor series relevant.
g(x)= sum (0,infinity) of [f^n*(a)*(x-a)^n]/n!
The system is...
Hello, I had this problem to do for statistics. I am pretty sure I did the first two parts correct. The third, I am not so sure about. I'd appreciate and guidance.
A player of a video game is confronted with a series of four opponents and an 80% probability of defeating each opponent. Assume...
My new basis of thought is that the a(n) Fourier coefficient can only be positive 6/npi... is this correct... if figure when you add the negative term, the coefficient becomes zero again. At no point can it be negative.
Correct me if I am wrong.
Can anyone help me out with this?
Find the steady state periodic solution of the following differential equation.
x''+10x= F(t), where F(t) is the even function of period 4 such that
F(t)=3 if 0<t<1 , F(t)=-3 if 1<t<2.
Im basically just having a problem findind the general Fourier...
Hello, i was wondering if someone can help me along with solving this differential equation.
I believe you use substitution. Right now I am setting my substitution to
v=(x+2y), but then when i follow through with my work, it doesn't simplify down to a seperable or first order...