The pressure of a fluid flowing through a closed system, P, after t seconds can be modeled by the function P(t) = 100 + 30 sin (12 pi/5 t). Answer parts (a) through (c) below.
(a) In the interval [0, 1], determine the times at which the pressure of the fluid is 100 mmHg. The solution set is {}.
(b) In the interval [0, 1], determine the times at which the pressure of the fluid is 130 mmHg. The solution set is {}.
(c) In the interval [0, 1], determine the times at which the pressure of the fluid is between 100 and 105 mmHg. Interval endpoints are rounded to the nearest hundredth.
A. (0, 0.21) U(0.42, 0.44) U (0.81, 0.83)
B. (0, 0.02)U(0.39, 0.42)U(0.83, 0.86)
C. (0, 0.83)U(0.86, 1)
D. (0, 0.22)
E. (0.02, 0.21) U (0.42, 0.44)U(0.86, 1)
F. (0, 0.21)