Thanks for all the help to my beginner's questions. This time, I have a question regarding practical use of geometry. Say I have a cylinder of radius...

My question is whether $x/x$ is always equal to $1$. I am mostly intersted in real numbers and particularly wonder whether $x/x$ is defined at $x=0$. On o...

Could someone please explain to me the definition of a prime ideal and a proper ideal. I honestly do not understand this concept. If possible please expla...

Is it generally true that $|\cos(z)|\leq1$, $|\sin(z)|\leq1$ $\forall z \in \mathbb{C}$? I think I'm missing something here (I think it does not hold...

Is someone able to explain to me exactly what the "odefun" called by the "ode45" ODE solver in MATLAB is supposed to do? My understanding is that you repr...

Determine whether the difference of the following two series is convergent or not and Prove your answer$$ \sum_{n=1}^\infty \frac{1}{n} $$ and $$\sum_{n=1...

Finding the zeros for a state space model is easy. Just convert the SS to TF and then find the roots of numerators from the transfer function. But it'...

I want to calculate the limit $\displaystyle{\lim_{x\rightarrow 0}\frac{x^2\cos \left (\frac{1}{x}\right )}{\sin x}}$. I have done the following: It holds...

my linear algebr textbook defines a linear transformation/map as one that satisfies: i. T(u+v)=T(u) +T(v). ii. T(cu) = cT(u) However, what is traditionall...

Given the ODE $\frac{dy}{dt} = f(t,y)$ and the function $f(y) = -y^3$, with the initial condition $y(0)=1$, I want to use the backward Euler Method with $...