Minimize $f(x,y)=x^2+x+2y^2+0\mathrm{.}25$ using Powell method. Use $x_1=(-1,-1{)}^T$ as a starting point. The stopping criteria $=0\mathrm{.}001.$ Conduct one iteration only. Tabulate the ten values $($from $A$ to $J$ in the allowed formulas sheets$).$ These values are $f(x_1),{}_1,x_2(cdots,$cdots${)}^T,{}_2,x_3(cdots,$cdots${)}^T,{}_3,f,x^{T}x.$