ONLY DO PART D PLEASE

$5-6.$ An approximate solution to the point kinetics equations for a single $($average$)$ group of delayed neutrons is

$\frac{P(t)}{P(0)}=\frac{}{-}{e}^{\frac{t}{-}}-\frac{}{-}{e}^{-(-)t{l}^{**}}$

for $$ at least $50!in$ from prompt critical. Consider a typical LWR system with parameters ${}_{\text{e}\text{f}\text{f}}=0\mathrm{.}0070,l^{**}=3{10}^{-5}s,$ and $=0\mathrm{.}084s^{-1}.$

a$.$ Plot $P\frac{t}{P}(0)$ and $log[P\frac{t}{P}(0)]$ for $=0\mathrm{.}05$ on a linear time scale up to $t=10s.$

b$.$ Repeat $($a$)$ for a logarithmic time scale.

c$.$ Using only the above results, estimate the fractional increase in power associated with the prompt jump and estimate the magnitude of the asymptotic period. $($Hint: note the effect of each of the two terms in the equation.$)$

d$.$ Repeat the plots and period calculation for $=1\mathrm{.}5.$