January 16, 2017

Homework Help: Calculus

Posted by Craig on Tuesday, November 25, 2008 at 7:54pm.

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 spherical hot air balloon expands as the air inside the balloon is heated. The radius of the balloon in feet is modeled by a twice-differentiable function of r of time t, where t is measured in minutes. For 0<t<12, the graph of r is concave down. The table above give selected values of the rate of change, r'(t), of the radius of the balloon over the time interval 0<t<12. The radius of the balloon is 30ft when t=5.

a)est. radius of balloon when t=5.4 using tan line approximated at t=5. Why?

b)Find rate of change of the volume of the balloon w/ respect to time when t=5. what is the units of measure?

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