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Brief Calculus-An Applied Approach 9e Larson Solution Manual Latest updated and reviewed

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Brief Calculus-An Applied Approach 9e Larson Solution Manual Latest updated and reviewedChapter 1 Functions, Graphs, and Limits...............................................................1 Chapter 2 Differentiation.......................................................................................66 Chapter 3 Applications of the Derivative ...........................................................145 Chapter 4 Exponential and Logarithmic Functions ...........................................247 Chapter 5 Integration and Its Applications.........................................................309 Chapter 6 Techniques of Integration ..................................................................367 Chapter 7 Functions of Several Variables ..........................................................416 Chapter 8 Trigonometric Functions....................................................................497 Chapter 9 Probability and Calculus ....................................................................548 Chapter 10 Series and Taylor Polynomials ..........................................................580 Chapter 11 Differential Equations ........................................................................646 Appendix A Precalculus Review ............................................................................683 Appendix B Alternate Introduction to the Fundamental Theorem of Calculus..........................................................................................700 Checkpoints .............................................................................................................704 Tech Tutors .............................................................................................................757 Section A.1 The Real Number Line and Order 1. Because 14 0.25 , = it is rational. 2. Because 3678 1 − =− 3678 , it is rational. 3. Because π is irrational, 32π is irrational. 4. Because 2 is irrational, 32 1 − is irrational. 5. Because 4.3451 has a repeating decimal expansion, it is rational. 6. 22 7 is rational. 7. Because 3 64 4, = it is rational. 8. Because 0.8177 has a repeating decimal expansion, it is rational. 9. Because 60 is not the cube of a rational number, 3 60 is irrational. 10. Because e is irrational, 2e is irrational. 11. 12 5 5 12 0 5 12 x xx − > >> (a) Yes, if x = 3, then 15 5 3 x = = is greater than 12 5 . (b) No, if 3, x = − then 15 5 3 x =− =− is not greater than 12 5 . (c) Yes, if 52, x = then 5 25 x = = 2 10 is greater than 12 24 5 10. = 12. 1 3 3 3 2 30 32x xx x x x + < + < + < < − (a) No, if x = 0, then x is not less than 3. 2 − (b) No, if 4, x = then x is not less than 3. 2 − (c) Yes, if 4, x = − then x is less than 3. 2 − 13. 2 0 2 4 0 28 2 10 xxx < − < < − < < < (a) Yes, if x = 4, then 2 10. x < < (b) No, if 10, x = then x is not less than 10. (c) No, if 0, x = then x is not greater than 2. 14. 3 1 1 2 23 2 5 1 5 1 or 1 5 xx x x x − −< ≤ −< − ≤ − <− ≤− >≥ ≤< (a) No, if 0, x = then x is not greater than or equal to 1. (b) Yes, if 1, x = then 1 5. x ≤ < (c) No, if 5, x = then x is not less than 5. 15. 5 7 55 75 12 x x x − ≥ − +≥+ ≥ 16. ( ) 1 1( ) 2 2 32 2 3 2 3 xxx >>> 17. ( ) 1 1 ( ) 2 2 12 4 12 4 12 1 2 2 1 2 1 2 1 x x x x xx xxx + < + − −< − − < − < − < − 18. ( ) ( ) 1 1 2 2 2 73 2 77 37 2 4 2 4 2 x x xxx + < + −<− < − < − < − x 10 12 14 16 1 2 0 −1 −2 x − 21 −6 −4 −2

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