My impression from reading the definition of critical points is that the function has to be defined there, and its derivative at that value has to be eith...

What process do most calculators use to calculate indefinite integrals? My teacher told me that calculators are really good at doing definite integrals, b...

When finding the norm of the vector: Find $\|2w-2y\|$ such that $w=(1/2,3,1)$ and $y=(0,-1,3/2)$. answer: $$\begin{align*} &2(1/2,3,1)= (1,6,2)\\ &...

We have a fair coin. The game ends when we get a head. the payoff is $2^N$ where N is the number of flips until we get the head. What is the expected valu...

Find the area of the region bounded by the curves $y=x^2$ and $y=x$. Find the area of the region bounded by the curves $y=x^2+1$ and $y=2$ I have a ton of...

What will happen to the following matrix if the third row is multiplied by 3? 3 3 3 1 5 6 3 4 5 Also, in general, how does scaling a row of a square matri...

According to my readings, Russell showed that a principle Frege used to reduce Peano arithmetic to logic lead to a contradiction. So, Russell tried to red...

I was sort of finding the roots by doing $x^3-4x>0=x(x^2-4)$ $x = 0, x = -2,x = 2$ for $$x(x-2)(x+2)>0$$ Then I stopped and thought; maybe I shouldn...

The surface area of revolution of $\cos5\theta$ about the polar axis, using $$S=\int 2\pi y ds$$ Where, $$ds=\sqrt {r^2+\left(\frac{dr}{d\theta}\right)^2}...

I know that division by zero is undefined and is also not rational, but I am not sure whether this means it's irrational because it is undefined. Can...