I am to find the quotient using synthetic division: $\frac{x+1}{x-i}$ The solution is provided as $1+\frac{1+i}{x-i}$ I get $2+i$. My working: $$\begin{ar...

I just started my vector calculus course a couple of weeks ago and I understand that the area of a parallelogram is Area = |A x B|, where A and B are posi...

If the perimeter of a the right-angle triangle is six times its smallest side, find the ratios of the three sides. I tried solving it by using the normal ...

I have to prove associativity of the convolution of three functions. I'm having trouble picturing how the variables will look. For periodic functions...

How do I use specifically the chain rule for $x^{\sin(x)}$?

I'm learning about finite automata right now, and struggling with a bit of the math notation. In the explanation here: https://math.stackexchange.com...

I am unable to get the difference between a well ordered set and a totally ordered set ,I have gone through book , it says that if some non-empty subset o...

I did just counted all in gap of every $100$ numbers. Like in $100-200$, there are $10$ nos.($109,118,127, \ldots,181,190$). And then $9$ nos. in $200-300...

Given the Church-Kleene ordinal $\omega^{CK}_1$, the supremum of all recursive ordinals, can we go further and derive $\omega^{CK}_2$, $\omega^{CK}_3$, $\...

The question says to find all the values of $(1+i)^{(1-i)}$ I have trouble figuring out firstly, exactly what values are being looked for. I can toy aroun...