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RATES: 2.1 Q:1 A) A stone dropped into a still pond sends out a circular ripple whose...

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Basic Math

RATES: 2.1 Q:1

A) A stone dropped into a still pond sends out a circular ripplewhose radius increases at a constant rate of 2.3 ft/s.

How rapidly is the area enclosed by the ripple increasing whenthe radius is 2 feet?

The area is increasing at

B) Oil spilled from a ruptured tanker spreads in a circle whosearea increases at a constant rate of 8 mi^2/hr. How rapidly isradius of the spill increasing when the area is 5 mi^2?

The radius is increasing at

C) A 15 ft ladder leans against a wall. The bottom of the ladderslides away from the wall at a rate of 2ft/sec

How fast is ladder sliding down the wall when the base of theladder is 66 ft away from the wall?

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