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Thu 2 Sep, 2004 06:01 pm
Hi, can someone please help me solve this problem? I can't type the symbol pi so i just typed it as PI. Thanks
You are standing on a bridge over a calm pond and drop a pebble, causing ripples of concentric circles in the water. The radius (in feet) of the outer ripples is given by r(t) = 0.6t, where t is time in seconds after the pebble hits the water. The area of a circle is give by the function A(r) = PIr squared. Find an equation for the composite function A(r(t)). What is the input and output of this composite function?
Substituting .6t for r in PIr^2 yields:
A(r(t)) = PI*.36t^2
A(r(t))=A(0.6t)=Pi(0.6t)^2=Pi*0.36*t^2
Input would be time (t) and output Area in square feet
Rap
Wow thanks guys! That was fast. I need that by tomorrow.
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