I know this might seem very simple, but I can't seem to isolate x. $$\frac{1}{x} = \frac{1}{a} + \frac{1}{b} $$ Please show me the steps to solving it.

Currently following a discrete mathematics course. I'm facing an issue, I need to write an algorithm of $O(n)$ complexity. Here's what it needs ...

I have to find the slope of the tangent line to the parabola $y=4x - x^2$ at the point (1,3), using defintion one which is $$\frac{f(x)-f(a)}{x-a}.$$ To m...

I'm having a hard time trying to understand the following derivation, from G.B. Whitham's book Linear and Nonlinear Waves, 1999 (Chap. 13, p. 46...

Assume we have 2-dim data $(x,y): {(a_1,b_1),...,(a_n,b_n)}$; where $X, Y$ are random variables. The conditional expectation is $E(X|Y=b_j)=\sum_{i}a_iP(X...

Let $f:\mathbb{N}\to\mathbb{R}$ such that $f(n)=p$ (where $p$ is the $n$th prime number). My doubt is whether this is a function and hence a sequence. I g...

Stuck, help please, I am really new to this. I opened the 2-norm and multiplied by $n$, then I am thinking to square both sides. The problem is that I do ...

Is it true that the monomial $4x^4$ has a degree of $4$ because of the exponent? Also, I think $-2x$ has a degree of $1$ because it has an exponent of $1$...

I have the set $A = \left \{1, 6, 0 \right \}$ and the relation $R = \left \{(1,6), (6,1), (1,0), (0,6), (6,1) \right \}$ Is that relation transitive? If ...

i've just finished Chapter 4 of "a first course in probability 8th edition" which deals with defining Discrete Random Variables, calculating the Expe...