Chapter 6 Exam – Box answers



AP Calculus Name:_________________________

Unit 6 Exam Review Date:__________ Period:__________

Find the derivative of:

1. y = ln([pic])

2. y = [pic]

3. y = [pic]

4. y = [pic]

5. y = [pic]

6. y = [pic]

7. [pic]

8. y = [pic]

9. y = arcsin 12x

10. y = arctan [pic]

11. Suppose that a cup of soup cooled from 99° to 74° after 10 minutes in a room where the temperature was set at 20°. Use Newton’s law of cooling to determine how much longer it will take the soup to cool to 35°

12. A radioactive element decays proportionally to the amount present. One half of the original amount remains after 5700 years. If 20,000 grams were present initially, how much will be left after 1000 years?

Find the integral of:

13. [pic]

14. [pic]

15. [pic]

16. [pic]

17. [pic]

18. [pic]

19. [pic]

20. Prove [pic]

Evaluate

21. sec(arcsin [pic])

Solve the Differential Equation

22. [pic]

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download