The pressure P in pounds per square foot in a pipe varies ov

The pressure P (in pounds per square foot), in a pipe varies over time. Six times an hour, the pressure oscillates from a low of 40 to a high of 240 and then back to a low of 40. The pressure at time t=0 is 40. Let the function P=f(t) denote the pressure in pipe at time t minutes. Find a possible formula for the function P=f(t) described above.

Solution

f(t) = (100 lb/ft^2)*cos(12*pi*t) + (140 lb/ft^2)
where \"t\" is measured in hours.

this is the possible formula for the function P=f(t)