Question of the Day

So, I’ve being trying to do an interesting question per day in the hope that others will find the solution interesting or... Read More

[Continues from yesterday] Formally test the equality of the long-run average values for the indices at the two sampling stations, using a... Read More

In a study of the use of macroinvertebrate communities as pollution indicators, the effectiveness of a numerical species diversity index to indicate... Read More

A large dairy cooperative has three lines for packaging blocks of cheese. The packaging equipment is subject to random faults in that,... Read More

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

A group of individuals contains ten people with blood group O, five with group A and five with group B. Give a... Read More

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

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 $x\in(0,1)$.