The relation between the slope of isothemal curve and slope of adiabatic curve

The slope of isothermal and adiabatic curves are related as

The slopes of isothermal and adiabatic curves are related as

The slope of an isothermal curve is always

Find the relation between the slopes of marginal revenue curve and the average revenue curve, for the demand function p = a - bx

If the slope for isotherm is X and the slope for adiabat is Y then

If the slope for isotherm is X and the slope for adiabat is Y then

Slope of an isothermal curve is always

ab and bc curves in the figure represent an isothermal and an adiabatic process respectively. Show that at the point b the ratio of the slopes of isothermal and adiabatic curves is equal to C_P/C_V .