$2-$ Consider the following network:

a$.$ Feed$-$forward the network and get the output $[$y$1$ y$2$ y$3].$

b$.$ Calculate the loss function

c$.$ In backpropagation, calculate the new weights of $w9$ and $w1,$ considering that the learning rate $=0\mathrm{.}5.$

x$1=0\mathrm{.}2,$ w$1=0\mathrm{.}16,$ y$1=1\_$w$9=0\mathrm{.}05$ x$2=0\mathrm{.}1$ x$3=0\mathrm{.}3112-0\mathrm{.}02$: w$5=0\mathrm{.}16$ w$3=0\mathrm{.}63\backslash$ X w$6=0\mathrm{.}25$: W$4=0\mathrm{.}36$ w$7=0\mathrm{.}22-$ w$11=0\mathrm{.}11$ w$10=0\mathrm{.}43$: y$2=0$ w$13=0\mathrm{.}72$ w$12=0\mathrm{.}79$; $22$ w$14=0\mathrm{.}91$ w$8=0\mathrm{.}29$: y$3=0$