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Problem 209

For the following exercises, explain the notation in words. The volume \(f(t)\) of a tank of gasoline, in gallons, \(t\) minutes after noon. $$f^{\prime}(30)=-20$$

Problem 210

For the following exercises, explain the notation in words. The volume \(f(t)\) of a tank of gasoline, in gallons, \(t\) minutes after noon. $$f(30)=0$$

Problem 211

For the following exercises, explain the notation in words. The volume \(f(t)\) of a tank of gasoline, in gallons, \(t\) minutes after noon. $$f^{\prime}(200)=30$$

Problem 212

For the following exercises, explain the notation in words. The volume \(f(t)\) of a tank of gasoline, in gallons, \(t\) minutes after noon. $$f(240)=500$$

Problem 213

For the following exercises, explain the functions in words. The height, \(s\), of a projectile after \(t\) seconds is given by \(s(t)=-16 t^{2}+80 t\). $$s(2)=96$$

Problem 214

For the following exercises, explain the functions in words. The height, \(s\), of a projectile after \(t\) seconds is given by \(s(t)=-16 t^{2}+80 t\). $$s^{\prime}(2)=16$$

Problem 215

For the following exercises, explain the functions in words. The height, \(s\), of a projectile after \(t\) seconds is given by \(s(t)=-16 t^{2}+80 t\). $$s(3)=96$$

Problem 216

For the following exercises, explain the functions in words. The height, \(s\), of a projectile after \(t\) seconds is given by \(s(t)=-16 t^{2}+80 t\). $$s^{\prime}(3)=-16$$

Problem 217

For the following exercises, explain the functions in words. The height, \(s\), of a projectile after \(t\) seconds is given by \(s(t)=-16 t^{2}+80 t\). $$s(0)=0, s(5)=0$$

Problem 218

For the following exercises, the volume \(V\) of a sphere with respect to its radius \(r\) is given by \(V=\frac{4}{3} \pi r^{3}\). Find the average rate of change of \(V\) as \(r\) changes from 1 \(\mathrm{cm}\) to 2 \(\mathrm{cm} .\)

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