### Fundamentals of Mathematics

goals
If $\displaystyle \left ( p\wedge \sim r \right )\Rightarrow \left ( q\vee r \right )$ is false and $q$ and $r$ are both false, then $p$ is
"The reciprocal of focal length $f$ is equal to the sum of reciprocals of the object distance $u$ and the image distance $v$".
Make $v$ the subject of formula, obtained above
$\left [ p\wedge (\sim q) \right ]\wedge \left [ (\sim p)\vee q \right ]$ is
The conjunction of statement: "Mumbai is a city, it is not the capital city."
Using PMI, prove that ${3^{2n + 2}} - 8n - 9$ is divisible by $64$.