I was doing my math homework when this question came. There's an isosceles triangle with its base length which equals 13, and the other sides' l...

Find the critical point of $$ f(x,y) = 3x^3 + 3y^3 + x^3y^3 $$ To do this, I know that I need to set $$f_y = 0, f_x = 0 $$ So $$f_x= 9x^2 + 3x^2y^3$$ $$f_...

I first convert everything to radians about a unit circle. $\frac{\pi}{6}$ angle from the center, $\frac\pi2$ right angle, $\frac\pi3$ angle remains. Hypo...

The mean and standard deviation of a normal distribution is given(mean=18 and standard deviation=2.5). We have to find the value of k for which P(X<k)=...

I have drawn a circle by doing this in Matlab: syms x; ezplot(cos(x),sin(x)) I get the tangent point at which I want my tangent to be by taking $x = \cos(...

I've recently come across the Infinite Monkey Theorem which loosely states that if you gave a monkey a typewriter and an infinite amount of time, it ...

I'm given the following parametrization of a parallelogram $(x,y,z)=(1,1,1)+s\cdot(2,-1,-1)+t\cdot(-1,3,2),s\in[0,1],t\in[0,1]$ I'm now asked to...

Here is the theorem about the integration of two-forms in Edwards' "Advanced Calculus" The definitions of "charts" in this theorem are given here. Wh...

I am trying to understand whether the set is finite, countable, or uncountable. $$\{x \in\Bbb Q \mid 1<x<2 \} \qquad\text{is countable. }$$ but i do...

I (sort of) understand what Taylor series do, they approximate a function that is infinitely differentiable. Well, first of all, what does infinitely diff...