Find the 12th term of the sequence given by the rule $t_n=4n-2$. Is the answer $44$, or $48$, or $50$, or $46$? I am trying to help my daughter. Please he...

The Mandelbrot set is defined as follows: given the function f(z, c) = z2 + c, a number z in the complex plane is in the Mandelbrot set if and only if the...

I would like to obtain the magnitude of a complex number of this form: $$z = \frac{1}{\sqrt{\alpha + i \beta}}$$ By a simple test on WolframAlpha it shoul...

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...

I was reading about variations of the nim game where 2 players remove matches from a pile of matchsticks. In this variation players can remove $1,3$ or $4...

A pretty basic question but I cannot find it either here or on the net. The usual definition of restriction of a function $f : X \to Y$, to a set $X'...

Salutations, I have been trying to approach an ODE with trigonometric functions that I found interesting: $$y'+x\sin(2y)=xe^{-x^2}\cos^2(y)$$ I tried...

I want to find all points of intersection of the parametric curves $$C_1:\begin{cases} x = t+1 \\ y = t^2 \\ \end{cases} $$ and $$C_2:\begin{cases} x = ...

I have this Calculus 1 question as a homework and I was wondering how it is possible to prove that f'(0)=0 as the solution says. I just can't se...

I don't think I fully understand the question. If I knew f(x) I would use the chain rule or product rule, but since I don't, how do I know what ...