DieselShip's Online Content Library

Q4. a) A tyre has a slow puncture causing the tyre pressure to drop.

The pressure in the tyre, P units, t hours after inflation to P0 units is given by:

P = P₀e^-kt, Where k is a constant.

Given that the tyre was inflated to a pressure of 40 units and that after 32 hours it had dropped to 15 units, determine the length of time it would have taken for the pressure to have dropped from 40 units to 30 units.

b) Solve for x in the following equation:

e^x - e^{- x} = 3