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1. Two humans are fleeing from a zombie. Alice is riding her bicycle
same point. How
hour and Bruce is running east at 7 miles per hour, starting from the
fast is the distance between Alice and Bruce increasing after two hours?
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/min. At what rate is the radius
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2. A spherical balloon is being inflated at the rate of 5 in
i1creasing when the radius of the balloon is 5 inches? (You may wish to use one of these
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the surface
3. The side length of a cube is increasing at the rate of 2 cm/s. How fast is
area of the cube increasing when the length of each side is 8 cm?
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4. Water fills a conical cup of radius 2 cm and height 8 cm in deep at the rate of 6 cm
How fast is the depth of the water changing when it is 5 cm deep? (Recall the the volume
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