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- Let $f$ be a function such that $f(2 − 3x) = 4 − x$. Find the value of $\Sigma^{12}_{i=1}f(i)$
- Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a function such that $f(a+b)=f(a)+f(b)$ and that $f(2008)=3012$. WHat is $f(2009)$?
- Calculate the sum $\dfrac{a_0}{ a_1} + \dfrac{a_1}{ a_2} + · · · + \dfrac{a_{2008}}{ a_{2009} }$
- Let $x$ be a real number such that $\csc{x} + \cot{x} = 3$. Evaluate $\csc x − \cot x$
- Let $k$ be a positive real number such that

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**Congratulations to our winners!***Posted on Monday March 01, 2021*

Congratulations to Lukhanyo Maneli and Terence Molepo for winning copies of the Nuts and Bolts book written by Dr. McLean Sibanda! We cannot wait for you to dig in and join us in the book review...

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