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 2 cm/s. How fast is the area of the spill increasing when the radius is 30 cm?
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Step 1: Given that the radius of the oil spill is increasing at a constant rate of 2 cm/s, we need to find the rate at which the area of the spill is increasing when the radius is 30 cm. Show more…
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Suppose oil spills from 4 ruptured tankers 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 30 m?
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(a) If $A$ is the area of a circle with radius $r$ and the circle expands as time passes, find $d A / d t$ in terms of $d r / d t$ . (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 $1 \mathrm{m} / \mathrm{s},$ how fast is the area of the spill increasing when the radius is 30 $\mathrm{m} ?$
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