#1. A square's area increases at a rate of 9.0 cm2/s. At what rate is the length of the side of the square changing when the length of the side is equal to 0.60 cm?
#2. Oil from a car drips on the ground and forms a circle of ever-increasing radius. The radius of the circle changes at a rate of 4.2 cm/s. At what rate is the area of the puddle changing when the radius is equal to 2.5 cm?
#3. A square's area increases at a rate of 4.2 cm2/s. At what rate is the length of the side of the square changing when the length of the side is equal to 0.40 cm?
#4. Oil from a car drips on the ground and forms a circle of ever-increasing radius. The radius of the circle changes at a rate of 3.9 cm/s. At what rate is the area of the puddle changing when the radius is equal to 1.5 cm?
#5. Sand falls from a conveyor belt at a rate of 9.8 m3/min. The height of the pile is always one-fourth of the base diameter. How fast is the height of the pile changing when the pile is 0.46 m high?
#6. A square's area increases at a rate of 0.60 cm2/s. At what rate is the length of the side of the square changing when the length of the side is equal to 5.3 cm?