Computer science question don't use any AI I need solution very fast pls

$u(x,y)=x^{\text{'}\text{'}}{y}^{\text{'}}$ and $p_{x}x+p,y=1,$ respectively, where $p$ r is the price of good $x,p_r$ is the price of good $y,$ and $\frac{?}{?}$ is the consumer's income.

b$)$ Derive the consumer's indirect utility function, $u^{\text{'}}(p_n,p,h)$

c$)$ Calculate the partial derivatives, del$\frac{u^{**}}{d}el{P}_{**},$del$\frac{u^{**}}{d}e\frac{l}{?},$ and the ratio $\frac{-(hat(-))\frac{u^{**}}{d}el{p}_p}{(hat(delu))\frac{u^{**}}{a}},$ Verify that this term in the ordinary demand function from part a $($Roy$\text{'}$s identity$).$

d$)$ Minimize the expenditure level necessary to achieve some arbitrary utility target $u$ and solve the first$-$order conditions for the compensated $($or Hicksian$)$ demand functions, $x^{\text{'}}(p_s,p_y,u^{**})$ and $y^{\text{'}}(p_s,p_y,u^{**}).$

e$)$ Calculate the value of hat$\frac{({)}^{\text{'}}}{h}at(hat(p)),$ and hat$\frac{(x{)}^{\text{'}}}{h}at(hat(c{)}_p),$ and show that $x$ and $y$ are net substitutes. Explain with the use of a diagram how $x$ and $y$ can be net substitutes but not gross substitutes.

f$)$ Derive the expenditure function, e $(($:$p,p,p,u^p$