I have the following model: $$ q_e=\dfrac{K_s\ {C_e}^\beta}{1+a_s\ {C_e}^\beta} $$ Its linearized form is: $$ \beta\ln(C_e)=-\ln\left(\dfrac{K_s}{q_e}\rig...

I understand how to use the compound angle formula when solving $\sin(\pi/12)$. However I dont understand how I can use a compound angle formula to show $...

So I'm having a hard time grasping how a relation can be both antisymmetric and symmetric, or neither. Are my examples correct? symmetric & antis...

I've read the proof of formula for arc length . I wonder why the function has to have continuous derivative (According to the Stewart Calculus book)....

I've been looking for a definition of this term in everyday words but I can't come across one, the use of the word is in the context of Isometrics.

Given a measure $\mu$ on $(X,M)$, define $\mu_0$ on $M$ by $$\mu_0(E) = \sup\{\mu(F): F\subset E \ \text{and} \ \mu(F) < \infty\}$$ a.) $\mu_0$ is a se...

Intuitively, one can think of non-planar graphs as having a "two-dimensional hole" (Edit: this is both unclear and not entirely, if at all, correct, see c...

I'm reading How To Prove it by Daniel J. Velleman, and I came across the following example which sounds odd to me. Either John isn't stupid and ...

Find a subgroup of $M_2(R)$, the group of $2 \times 2$ matrices with real entries under addition, called $H$, if for all $A,B$ in $M_2(R)$, $A-B$ is an el...

Find the Taylor series expansion of $f(x)=\sqrt{6x-x^2} $ about $x = 3$. Looking through my notes, I think this could be solved with the binomial theorem....