Sonam K.

# Calculus Question

(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt

in terms of dr/dt.

 (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 37 m?