Tuesday

July 22, 2014

July 22, 2014

Posted by **Erica** on Tuesday, October 3, 2006 at 12:18pm.

Ok, your first function give S(r) or surface area as a function of the radius. You second function r(t)=(2/3)t^3 gives the radius as a function of time. If you compose the function to get

S(r(t)) = 4*pi*((2/3)t^3)^2

you have the surface area as a function of time alone. You can write it as

S(t) = something you can simplify.

**Related Questions**

calculus - You are letting the air out of a hot air balloon at a steady rate. ...

physics - A ball is released from a hot air balloon moving downward with a ...

physics - A ball is released from a hot air balloon moving downward with a ...

physics - A ball is released from a hot air balloon moving downward with a ...

physics - A ball is released from a hot air balloon moving downward with a ...

Calculus - t: 0 2 5 7 11 12 r'(t): 5.7 4.0 2.0 1.2 0.6 0.5 The volume of a ...

calculus - a spherical balloon filled with gas has a leak that permits the gas ...

physics - You are in a hot-air balloon that ascends at a constant velocity of 2....

math - direct variation the surface area of a sphere varies directly as the ...

science - You are a maker of hot air balloons and wish to construct a balloon ...