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Differential Equations, Chain Rule, and Rate of Change

1. A ladder 10 feet long rests against a vertical wall. If the top of the ladder slides down at a rate of 1 ft/sec how fast is the bottom of the ladder sliding away when the bottom of the ladder is 8 ft away from the wall?

2. Two people start from the same point. One runs west at 13 km/hr and the other walks north at 2 km/hr. How fast is the distance between the people changing after 10 minutes?

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