I know that fourth angles of Lambert quadrilaterals are acute in hyperbolic geometry and right in Euclidean, but why are fourth angles only able to be obt...

I am having a confusion while solving the problem below. Under ideal conditions, a certain bacteria population is known to double every three hours. Suppo...

If I have an annular sector with inner radius $r_1$ and outer radius $r_2$ and angle $\theta$, how can I calculate its centre of mass?

OK, I am having a real problem with this and I am desperate. I have a set of vectors. {(1,0.-1), (2,5,1), (0,-4,3)} How do I check is this is a basis for ...

The professor of the topology course stated the theorem, without proof, as: Seifert-van Kampen Theorem: I. Let $X=\bigcup_{i=1}^nU_i,$ where $U_i$ are ope...

I was learning about the Trapezoid from Paul's Online Notes (a great resource!). He mentions that "all function evaluations, with the exceptions of t...

I need to be able to find an equation from this graph So far I have this graph with the equation $-1/((x-3)^3)$ I can see from the desired graph that ther...

the equation $y^2=4x+4y$ changes to the form $y^2=4x$ if the origin shifted to (without rotating the axis) $A:(1,2)$ $B:(-1,2)$ $C:(-1,-2)$ $D:(1,-2)$

I'm trying to classify periodic matrices $A(t)$ where its Floquet decomposition has a finite number of harmonies. Let $$\dot{x}_1=A(t)x_1 $$ By Floqu...

I have to introduce affine schemes as topological spaces in a small seminar. Could you suggest me three examples of affine schemes in order to put in evid...