In: Math
RATES: 2.1 Q:1
A) A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 2.3 ft/s.
How rapidly is the area enclosed by the ripple increasing when the radius is 2 feet?
The area is increasing at
B) Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 8 mi^2/hr. How rapidly is radius 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 ladder slides away from the wall at a rate of 2ft/sec
How fast is ladder sliding down the wall when the base of the ladder is 66 ft away from the wall?