please answer both DV/DP and DV/DT.
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a)A Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when the rider is 8 m above ground level?
_______m/min
b)A plane flies horizontally at an altitude of 7 km and passes directly over a tracking telescope on the ground. When the angle of elevation is Ï/6, this angle is decreasing at a rate of Ï/3rad/min. How fast is the plane traveling at that time? (Round your answer to two decimal places.)
______km/min
c)Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the volume is 300 cm3, the pressure is 200 kPa, and the pressure is increasing at a rate of 30 kPa/min. At what rate is the volume decreasing at this instant?
______cm3/min