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Review for Final Semester 2 Calculus Larson
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1.E11. B21. B31. B 2. E12. C22. A32. A 3. C13. E23. B33. D 4. C14. D24. A34. B 5. E15. D25. D35. A 6. B16. E26. C36. A 7. A17. B27. C37. E 8. E18. C28. B38. B 9. D19. C29. A 10. C20. C30. C
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1.E 2. E 3. C 4. C 5. E 6. B 7. A 8. E 9. D 10. C 11. B 12. C 13. E 14. D 15. D 16. E 17. B 18. C
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1. E2. E 3. C 4. C
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5. E set v(t) = 0 7. A inverse trig formula 6. B implicit differentiation 8. E
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10. C ¼ If Degree num= degree dem. Then divide leading coef. 9. D 11. B ½ If Degree num= degree dem. Then divide leading coef. 12. C
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13. E
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17. B average value
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19. C find y’’<0 2 – +
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26. C 24. A
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29. A
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4 + – Concave down when y’’ is negative… for x > 4 y’’
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Final – things to know… Derivative of 1) trig, 2) a^u and e^x, 3) ln, 4) inverse trig, 5) x^n (power rule) … all with chain rule, Product rule, quotient rule Slope and Equation of tangent line Increasing / decreasing Concavity Point of inflection Implicit differentiation Relative max/min Particle at rest Definite and indefinite Integrals with 1) trig, 2) absolute value, 3) a^u and e^x, 4) 1/x, 5) inverse trig, 6) x^n (power rule) … all with u-substitution Average value area Limit – L’Hospital’s Rule Exponential grow/decay
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