Problems
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- Revenue of Sand Blasting Bolts
- Determine the rate of change of the surface area of a cylinder with respect to its radius.
- Determine the rate of change of the area of a square with respect to the length of its sides.
- Determine the rate of change of the area of an equilateral triangle with respect to the length of a side.
- ACME Soap Company Sales Revenue Growth
- Automotive Repair Shop Growth
- Suppose that your distance from home on a Sunday afternoon drive was given by the formula $D(t)=-7.7t^3+3.1t^2+24.6t$ where $D$ is the distance in miles and $t$ is the number of hours driven. Determine your speed during your two hour trip.
- Find the average rate of change of $f(x)=x^2$ between $-2$ and $2$. Find the instantaneous rate of change at both of those points.
- Determine the rate of change of the volume of a sphere with respect to its radius.
- Determine the rate of change of the surface area of a sphere with respect to its radius.
- Determine the rate of change of the circumference of a circle with respect to its radius.
- Determine the rate of change of the area of a circle with respect to its radius.
