I need to prove that: $$1+\tan x \tan 2x = \sec 2x.$$ I started this by making sec 1/cos and using the double angle identity for that and it didn't w...

I'm working on solving inequalities for an assignment. The instructions also request that I draw a 'sign chart' along with each solution. I...

Which of the following bit strings are Walsh-Hadamard (WH) codewords? 00001111 11111111 01011011 01011010 Can somebody explain me what are walsh-hadamard ...

Find a unit vector in the direction of $[1,2,3]$. Are we just trying to find the norm or length of the vector? $\sqrt{(1^2)+(2^2)+(3^3)} = \sqrt{14}$ Than...

"If $a \equiv b \pmod m$ and $a \equiv b \pmod n$ and $\gcd(m,n)=1$, then $a \equiv b \pmod {mn}$ " Is that a true theorem? I can't find it in my tex...

Given an integral $$\int_1^T \frac{f(t)}{t} \, {\rm d}t$$ where $f(t)$ is oscillating and I want to make an estimate I can do the following $$\left|\int_1...

I am in an intro calculus class and I have a problem which I am unsure about. It reads: Water is being poured into a conical reservoir at a rate of pi cub...

What is this function, $f(x) = \frac{1}{\exp(-kx)+1}$, where $k$ is a constant, called?

Let $f'(x) = \sqrt{3x + 4}$ and $g(x)=x^2-1$. Find $h'(x)$, if $h(x) = f(g(x))$. I know that $g'(x) = 2x$, but I don't know how to do ...

I'm having some trouble with this question. I don't really understand what it is asking. $\theta$ and $\alpha$ are acute angles in standard posi...