7.2.2 The Natural Base, e − Worksheet
Example 1: Graph. 1. f ( x ) = e x − 4
2. f ( x ) = − e x
3. f ( x ) = 4 − e x
4. f ( x ) = e 1 − x
Example 2: Simplify. 5. ln e 1
x 3
−
6. ln e x − y
7.
8. e ln 2 x
9. e 3ln x
e In
Example 3: 10. Emma receives $7750 and invests it in an account that earns 4% interest compounded continuously. What is the total amount of her investment after 5 years?
Example 4: 11. Technetium-99m, a radioisotope used to image the skeleton and the heart muscle, has a half-life of about 6 hours. Find the decay constant. Use the decay function N ( t ) = N 0 e − kt to determine the amount of a 250 mg dose that remains after 24 hours.
135
Made with FlippingBook - Share PDF online