I know the independent concept and multiplication rules. Example Flip Coin 5 times flip, how many times success of Head? Ans : $\frac{1}{2} \cdot \frac{1}...

I have seen a lot of exercises where they solve a triple integral using spherical coordinates. But I'm confused about the limits that one should use....

Let X~U(a,b) with a and b in the real line, such that b>a with X's pdf given by $$f_X(x)=\frac{1}{b-a}\mathbb{1}(a<x< b)$$ Show the median of X...

Here is a recent "tricky problem" that is making the rounds on FB: BEDMAS is explained here in a video, with this being the upshot: Everyone understands t...

Mostly I encounter textbooks named Analysis, Mathematical Analysis,... But recently, i encountered a book named A Course In Modern Analysis. Please explai...

I have the following question: Given the Euler-Cauchy equation $$x^2\frac{d^2y}{dx^2}-3x\frac{dy}{dx}-5y=x^5$$ Solve the associated homogeneous equation b...

The constraints of this question is related to a programming problem, but I must get the math right in order for it to be applied to code. The actual prob...

Find all irreducible monic polynomials in $\mathbb{Z}/(2)[x]$ with degree equal or less than $5$. This is what I tried: It's evident that $x,x+1$ are...

Show using a proper theorem that the set {2, 3, 4, 8, 9, 16, 27, 32, 64, 81, … } is a countable set. Im lost, this is for school, but there is a huge lang...

In the "Calculus 6th edition" by Edwards and Penney, in the chapter of Transcendental functions, there is an interesting question about special limit that...