I'm running this simulation where you roll a die in R and record the result. Part of the code I got from my professor says cumulative.sums = cumsum(r...

I know this is a dumb question but I can't get the answer to another follow up question, What is the square root of 1? If the square root of 1 is its...

I'm having trouble understanding strong induction proofs I understand how to do ordinary induction proofs and I understand that strong induction proo...

I have a right trapezoid as follows; We have $h$, $b$ and $a$. For any $n$, I need to divide total area of trapezoid into equal parts. I have to find a ge...

I would like to show that the Circle group $SO(2)$ is a topological group under multiplication. The requirements are $\alpha$) The group operation is cont...

I have a histogram, and I want to estimate the parameters of the underlying distribution. Here is the data I've taken from the graph: $$ \begin{array...

The region $D$ is bounded below by $z=2\sqrt{x^2+y^2}$ and above by $x^2+y^2+z^2=5$ My task is to calculate $$\iiint_D e^{{(x^2+y^2+z^2)}^{3/2}}dV.$$ I tr...

Find the streamlines, particle paths and streaklines when $$u=xe^{2t-z}, \, \, \, v=ye^{2t-z}, \, \, \, w=ze^{2t-z}$$ What is the track of the particle pa...

As per this article: https://stackoverflow.com/questions/4317414/polynomial-time-and-exponential-time we know that exponential is worse than polynomial in...

The matrix $A = \begin{bmatrix}9&-1\\1&7\end{bmatrix}$ has one eigenvalue of multiplicity 2. Find this eigenvalue and the dimension of the eigensp...