**Question: **One of Santa’s elves is licking a spherical lollipop. (The volume of a sphere is \[\frac{4}{3}\pi {{r}^{3}}\] ). The radius is decreasing at a rate of 2mm/hour. At what rate is the volume of the lollipop changing when the radius is 10 mm?

## Calculus: Calculus, General Integration – #28819

**Question: **Integrate the following functions:

(a) \(f\left( x \right)=2{{x}^{3}}-3{{x}^{2}}+1\) between 0 and 1

(b) \(f\left( x \right)=6{{x}^{2}}+18x\) between -3 and 0

**Question: **Integrate the following functions:

(a) \(f\left( x \right)=2{{x}^{3}}-3{{x}^{2}}+1\) between 0 and 1

(b) \(f\left( x \right)=6{{x}^{2}}+18x\) between -3 and 0