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P (t) = 90 + 15 sin(144t).
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suppose Person A's blood pressure at time t (in minutes) is given by the function:P (t) = 90 + 15 sin(144πt).
(a) Find the average pressure, the amplitude and the period T of this particular function.
(b) Find the maximum and minimum values of P (t) in the period [0, T ].
(c) Find when P (t) achieves its maximum and minimum in the period [0, T ].
(d) Graph the function y = P(t) for t ∈ [0,2T].