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]
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