A large dairy cooperative has three lines for packaging blocks of cheese. The packaging equipment is subject to random faults […]

Babies with a particular congenital disorder are born in a large maternity hospital at a rate of two per four-week

A group of individuals contains ten people with blood group O, five with group A and five with group B.

An athlete conceals two performance enhancing tablets in a bottle containing eight vitamin tablets that are similar in appearance. If

Locate the global maximum point on the curve $y=xe^{-x^2}$.

Find the inflexion point on $y=e^{-x^2}$.

Prove that $1 + x < e^x < \frac{1}{1-x}$ for all $x\in(0,1)$.

Prove that $e^a (b-a) < e^b – e^a < e^b(b-a)$ for all $a<b$ in $\mathbb{R}$.

Consider the non-zero real-valued function $exp$ on the reals such that $exp(a+b)=exp(a)exp(b)$ and $exp'(a)=exp(a)$ for all real values of $a$

Where does the following converge $\int_{1}^{\infty} e^{-\alpha x} dx$?