Engine oil at $30\backslash$deg C flows over a $12$m$\backslash$times $2$m long flat plate whose temperature is $80\backslash$deg C with a velocity of $3\mathrm{.}0($m$)/($s$).$

Determine

$($a$)$ the local heat transfer coefficient at x$=6$m$,(7$p$)$

$($b$)$ the local friction coefficient at x$=6$m$,(3$p$)$

$($c$)$ the average heat transfer coefficient, $(4$p$)$

$($d$)$ the average friction coefficient, $(3$p$)$

$($e$)$ the velocity boundary layer thickness at x$=12$m$,(2$p$)$

$($f$)$ the total drag force acting on the plate, in N$,(3$p$)$

$($g$)$ the rate of heat transfer from the entire plate, in kW $,$ and $(3$p$)$

Note: Give numerical answers with three significant digits at least.