When writing out the final answer in $\ln$ form, why is it necessary to put absolute brackets? How does it affect the answer? I have this answer of $-3\ln...

given : $x^2+6x+2y-8=0$ at $x = 3$ $y = \frac{17}{2}$ $y' = 0 = m_T$ I was able to find the equation of the tangent line which is $y=\frac{17}{2}$ by...

If we have a Graph with Euler Circuit can we the consider it as a special Euler Path that start and end in the same Node? I am asking because the Conditio...

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Prove that every Cauchy sequence in $\mathbb{R}$ converges. proof: Let $A_n$ be a closed and bounded sequence. Then there exists an interval $[a_1,b_1]$ s...

If I know that, in a rhombicosidodecahedron, at every vertex one triangle, one pentagon, and two squares meet, then how can I compute the number of faces ...

My teacher ask a question to me. Question is: Determine in how many ways can be rearranged the letters of the word ECEHUCDE so that the consonants and vow...

Let's say we had a $n$th degree polynomial equation $a_{n}x^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+\cdots+a_2x^2+a_1x+a_0=0$, with $a$ being real coefficien...

If every element of set $A$ is an element of set $B$ then we say that $A$ is subset of $B$. $A$ is said to be proper subset if $A$ does not equal $B$. My ...

What does this mean in English: $\bigcup\mathcal{P}A = A$ ? I assume it has something to do with unions and powersets but I don't understand the mean...