For the two dimensional beam shown below determine the elastic curve, $v(x),$ for the region $A$ to $B$ and

the rotation at point B$,{}_B,$ given: $E=29000$ksi,$I=150k{n}^4,M_0=30$kip$-in,P_0=1$kip,$L=120kn.$

Simplify your answer using engineering notation to two decimal places, i$.$e$.3\mathrm{.}45$e$-06$ or $-1\mathrm{.}75e+01.$

Be sure to give the answers in the form shown below:

$v(x)=a_3{x}^3+a_2{x}^2+a_{1}x+a_0$

$a_3=$

$a_2=$

$a_1=$

$a_0=$