A $13m$ beam has a pin located at the left end and a roller $9m$ from the pin. The beam carries a distributed load that starts at $0k\frac{N}{m}$ from the pin and increases to $3k\frac{N}{m}$ at $7m.$ There is a uniformly distributed load of $1\mathrm{.}4k\frac{N}{m}$ from the roller to the right end of the beam. The beam also carries a distributed load that is $1\mathrm{.}4k\frac{N}{m}$ on the roller and increases to $3k\frac{N}{m}$ at $2m$ to the left of the roller. A final load of $7kN$ is located at the right end of the beam at an $34$ angel from the $x$ axis. Find the support reactions for the beam.