The symmetric difference $A$ △ $B$ of $A$ and $B$ is defined as $(A - B) \cup (B - A)$. (The set of elements that belong to A or B but not both.) (a) Cons...

I'm getting a couple of different answers from different sources, so I'd like to verify something. I misplaced my original notes from my prof, b...

I'm tripping over something elementary: Suppose $f:\mathbb{R^2}\rightarrow X$ is linear, then $f(x+y)=f(x)+f(y)$ for all vectors $x$ and $y$. Now sup...

Integration by $u$ - substitution works alright for me, like in the following integral: $$\int \frac{1}{3x+5}dx\ \ \ \ \ \ \ \ \ \ $$ Making $u$ = $3x+5$ ...

The question I am working on is asking- Use the chain rule to calculate $\frac{\partial F}{\partial s}$ and $\frac{\partial F}{\partial t}$ for the given ...

For example, this question presents the equation $$\omega(n) < \frac{\log n}{\log \log n} + 1.4573 \frac{\log n}{(\log \log n)^{2}},$$ but I'm not...

Prove that $\log_2 3$ is irrational Seemingly simple homework assignment. Was never the best with logarithms, how would I go about proving?

Can I get help on how I can calculate this without a calculator? I know it's the inverse of $sin(1/2)$, but I'm still a little confused on how I...

I would like to know if my understanding about quaternions is correct please: lets say you have a vector in 3d space. You could rotate the x,y and-z frame...

Possible Duplicates: Evaluating $\\int P(\\sin x, \\cos x) \\text{d}x$ Ways to evaluate $\int \sec \theta \, \mathrm d \theta$ Using Mathematica to get th...