4 1 3 4 marks a if a is the area of a circle of radius r and the circl
4. (1+3 = 4 marks)
(a) If A is the area of a circle of 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 ship and spreads across the surface of the sea in
a circular pattern. If the radius of the oil spill increases at a constant rate of 1 metre/second,
how fast is the area of the spill increasing when the radius is 30 metres?
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