Question 334463: Ripples. A pebble is dropped into a calm pond, causing ripples in the form of concentric circles. The radius (in feet) of the outer ripple is given by r(t)=.6t, where t is the time in seconds after the pebble strikes the water. The area of the circle is given by the function A(r) =π * r^2. Find and interpret (A◦r)(t).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A pebble is dropped into a calm pond, causing ripples in the form of concentric circles. The radius (in feet) of the outer ripple is given by r(t)=.6t, where t is the time in seconds after the pebble strikes the water. The area of the circle is given by the function A(r) =π * r^2. Find and interpret (A◦r)(t).
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(A◦r)(t) = A[0.6t] = (pi)*(0.6t)^2
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Interpret: (A◦r)(t) gives the area of the circle when the
radius is 0.6t, where t is the time in seconds after the peblle
strikes the water.
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Cheers,
Stan H.
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