(a) If A is the area of a circle with radius r and the cricle expands as time passes, find (dA)/(dt) in terms of ( al )/( di ). (da)/(dt)= ◻ \int (dr)/(dt) the raflus is 27 m ? ◻ (m^(7))/(s)
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If the radius of the oil spill increases at a constant rate of 2 m/s, exactly how fast (in $m^2/s$) is the area of the spill increasing when the radius is 27 m? $\boxed{\phantom{108\pi}} m^2/s$ Show more…
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(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. dA dt = 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 27 m? m2/s
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