Boyle’s Law states that when a sample of gas is compressedat a constant temperature, the pressure P and volume Vsatisfy the equation PV= C , where  C is a constant.Suppose that at a certain instant the volume is 600 cm3 , thepressure is 150 kPa, and the pressure is increasing at a rateof 20 kPa/min. At what rate is the volume decreasing atthis instant?

4. A rectangular box has sides of length x cm, y cm and z cm. Sides x and z are expanding at rates of 3 mm/s and 5 mm/s respectively and side y is contracting at a rate of 2 mm/s. Determine the rate of change of volume when x is 3 cm, y is 1.5 cm and z is 6 cm. [1.35 cm³/s]

3. Water is leaking from a trough at the rate of 0.8 L/s. The trough has a trapezoidal cross section, where the width at the bottom is 55 cm, at the top is 85 cm, and the height is 25 cm. The length of the trough is 3 m. Find the rate at which the height is changing when the depth of water is 11 cm.

5. A dock sits above the water. A rope is attached to a pulley on the edge of the dock. The pulley is located 5ft vertically above the water on the dock. The other end of the rope is attached to a float floating on the water. The rope is pulled in at a constant rate of 3 ft/s. How fast is the float traveling on the surface of the water (towards the dock) at the moment when the boat is 12ft from the dock? Hint: The edge of the dock, down to the water, then over to the float, makes a triangle. d山T06 NOV 10 PACES 18 MacBook Air DII