$3\mathrm{.}10$ A rectangle $0\mathrm{.}5m1m$ has both the $1$ m sides and one $0\mathrm{.}5$ m side at $200C.$ The other side is having a temperature distribution given by $T=200+400sin(\frac{x}{0\mathrm{.}5})$ where $x$ is in $m$

and $T$ in $C.$ Locate the $y$ values at $x=0\mathrm{.}5m$ at which the temperatures will be $300,400,500C.$ Also locate the values of $x$ for $y=1m$ at which these temperatures occur.