The Number E and the Natural Exponential Function Worksheet with Answer Key

What's on the worksheet

1. Write each as a single power of e and find its value to four decimal places.
   e^{0.5} \cdot e^{1.3}\left(e^{0.4}\right)^{3}\dfrac{e^{5}}{e^{2.2}}\dfrac{1}{e^{0.8}}\sqrt{e^{5}}
2. Word problem: two research teams' models of zebra mussels in a lake.
3. Find the effective annual rate for each account, to three decimal places.
4. Compare two sequences that approach e from below and from above.
5. Find a tangent line to e to the x at a point and where it meets the x-axis.
6. Word problem: light reaching depths of clear seawater near a reef.