Related rates Part A:
1. Consider a right triangle with hypotenuse of (fixed) length46 cm and variable legs of lengths x and y,respectively. If the leg of length x increases at the rateof 6 cm/min, at what rate is y changing when x = 5 cm?(Round your answer to three decimal places.)
2. Water is flowing into a vertical cylindrical tank of diameter8 m at the rate of 5 m3/min. Find the rate at which thedepth of the water is rising. (Round your answer to three decimalplaces.)
3. A gas is said to be compressed adiabatically if there is nogain or loss of heat. When such a gas is diatomic (has two atomsper molecule), it satisfies the equation PV 1.4 = k,where k is a constant, P is the pressure, andV is the volume. At a given instant, the pressure is 23kg/cm2, the volume is 35 cm3, and the volumeis decreasing at the rate of 6 cm3/min. At what rate isthe pressure changing?
