1. A person's blood pressure varies sinusoidally with each heartbeat. Maxi- mum pressure is when the heart contracts, and is called systolic pressure. Minimum pressure is when the heart relaxes, and is called diastolic pressure. Blood pressure is measured in millimeters of mercury (mmHg). Now, suppose that at a time t seconds after the start of a blood pressure measurement, a person's blood pressure is given by P(t) = 18sin((3/2)mt) + 100mmHg. (a) What is the person's systolic pressure? (b) What is the person's diastolic pressure? (c) What is the person's number of heartbeats per minute? (d) Write down a function of the form Acos (B(t-C))+D that is identical to P(t). (e) Find the rate at which blood pressure is changing at t = 2 seconds in mmHg per second.