1. Find an angle between 0 and 2𝜋 that is coterminal with the given angle: − 16𝜋/5 Remember to show your work for credit

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1. Find an angle between 0 and 2𝜋 that is coterminal with the given angle: − 16𝜋/5 Remember to show your work for credit!
2. The radius of each wheel of a car is 15 inches. If the wheels are turning at the rate of 3 revolutions per second, how fast is the car moving in miles per hour?
3. The arm and blade of a windshield wiper have a total length of 30 inches from the pivot point. If the blade section is 24 inches long and the wiper sweeps out an angle of 140°, how much window area can the blade clean?
5. Determine algebraically whether the function 𝑓(𝑥) = 𝑥sin^3𝑥 is even, odd, or neither. Work shown must support (prove) your answer! The Guess & Check method will not receive any credit, even if correct.
7. A person’s blood pressure, 𝑃, varies with the cycle of their heartbeat. The pressure (in units mmHg) at time 𝑡 seconds for a particular person may be modeled by the function: 𝑷(𝒕) = 20cos(2𝜋t) + 𝟏00 mmHg, 𝑡 ≥ 0 . According to this model, which of the following statements is TRUE? (Hint: Think of this problem in terms of transformations of a graph. In fact, actually graphing it will help you answer the question!)
(a) The maximum pressure is 100 mmHg.
(b) The pressure goes through one complete cycle in 2 seconds.
(c) The amplitude of the pressure function is 120 mmHg.
(d) The pressure will reach a maximum value at time 𝑡 = 1 second.
(e) Both statements (b) and (d) are accurate.