Rewrite the integral $$\int_0^3 \int_0^{9-y^2} \int_\frac{y}3^1 f(x,y,z) dx dz dy $$ as an interated integral in the order dy dz dx. I have trouble visual...

We have a circular lamina and a circular wire, of the same radius. The centre of mass in both bodies is the centre of the circle, right? So far, no argume...

I'm a software engineering student, so I don't have probability theory in my career, but I hear people near my circle talk about stochastic proc...

I have seen a definition of orthogonality between two vectors something like this: $$<\vec{u}, \vec{v}> = u^T \cdot v = 0$$ I am wondering what is t...

Given that $y=\arctan(x^2)$ find $\ \dfrac{d^2y}{dx^2}$. I got $$\frac{dy}{dx}=\frac{2x}{1+x^4}.$$ Using low d high minus high d low over low squared, I g...

I just read this whole article: http://web.maths.unsw.edu.au/~norman/papers/SetTheory.pdf which is also discussed over here: Infinite sets don't exist...

I have seen the answer to this question and this one. My $7$th grade son has this question on his homework: How do you know an exponential expression will...

I am trying to find the derivative of $f(x)= xe^x \csc x$, and I am not too sure how to even start. Is it two terms or three? $xe^x$ and $\csc x$ or is it...

I have been having trouble understanding the translation of a graph. I understand the 'rule in the sense that the '$+$' shifts to the left ...

This is an exercise I didn't solve from the group of exercises present on Velleman's site that should be solved using Proof Designer (the little...