Q$5.$ For the nominal values $=3\mathrm{.}75,=4\mathrm{.}24,$ and with $()=()=0\mathrm{.}005,$ bound the

errors in calculating the following expressions:

a$)^2^2+$

b$)$ sqrt$(^2+^2)$

c$)$ sin$()$ cos$()$ cos$()$

d$)()^2^(2$x$+*$y$^2)$