I have seen that $\text{cl}(A\cup B)=\text{cl}(A)\cup \text{cl}(B)$. However I don't see why this is true. I can see the the right to left inclusion,...
Published: Aug 22, 2026
I know formal ways of proving this, but I am doing research on how middle grade students create arguments to support conjectures. I would like to anticipa...
Published: Aug 22, 2026
Part of the surface, S, is: $z=x^2+y^2$ above the disk $ \ x^2+y^2 = 1 \ $ oriented in the $\vec k$ direction. I need to set up an integrated integral to ...
Published: Aug 22, 2026
I'm working on some assignments in my discrete math class for the sum & product combinatorics rules and I'm having trouble understanding the...
Published: Aug 22, 2026
Is the point at $(0,0)$ of the graph $z=x^3 + y^3$ considered a saddle point? I was given that function, and I used the second-order derivative test only ...
Published: Aug 22, 2026
So I know a monic polynomial is one where the coefficient of the leading term is 1, but does that mean the constant 1 is a monic polynomial too? Thanks.
Published: Aug 22, 2026
I have $f(x,y) = xy$ which has the Gradient Vector Field F$(x,y) = (y,x)$ I believe the correct way to draw individual vectors is to map points into the f...
Published: Aug 22, 2026
Might be a silly question, but is there any difference between saying that a something (limit, series and so on) converges to a value and converges agains...
Published: Aug 22, 2026
My question: What is a notation for an empty 0x0 matrix (i.e. the matrix for the only linear map $f:\{0\}\to\{0\}$)? Is it written $()$? How can I disting...
Published: Aug 22, 2026
Find the equation of the line that is tangent to the curve at the point $(0,\sqrt{\frac{\pi}{2}})$. Given your answer in slope-intercept form. I don'...
Published: Aug 22, 2026