A single$-$paned window in your house is $0\mathrm{.}75$m wide, $1\mathrm{.}5$m tall, and has a thickness of $2\mathrm{.}5$cm$.$ The glass has a thermal conduction constant of $0\mathrm{.}64$ W$/$m$.\backslash$deg C$.$ Assume the inside, middle, and outside temperatures of the glass are $20\backslash$deg C$,35\backslash$deg C and $40\backslash$deg C$,$ respectively. If the temperature across the window changes according to the function T$=$ax$2+$bx$+$c$,$ how much heat is transferred through the window in one hour if heat transfer occurs only in the x direction?