Solution manual for Calculus & Its Applications 14th Edition by Larry Goldstein| ISBN;9780134437774|All chapters included

INSTRUCTOR’S
SOLUTIONS MANUAL
BEVERLY FUSFIELD
AP

C ALCULUS & I TS A PPLICATIONS
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FOURTEENTH EDITION

C ALCULUS & I TS A PPLICATIONS ,
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B RIEF V ERSION
FOURTEENTH EDITION
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Larry J. Goldstein
David C. Lay
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David I. Schneider
Nakhlé H. Asmar
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Complete Chapter Solutions Manual
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are included (Ch 0 to 12)
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** Immediate Download
** Swift Response
** All Chapters included

, CONTENTS
Chapter 0 Functions .............................................................................................1
Chapter 1 The Derivative ..................................................................................27
Chapter 2 Applications of the Derivative ..........................................................74
Chapter 3 Techniques of Differentiation .........................................................122
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Chapter 4 The Exponential and Natural Logarithmic Functions .....................148
Chapter 5 Applications of the Exponential and Natural Logarithm
Functions .........................................................................................178
Chapter 6 The Definite Integral .......................................................................194
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Chapter 7 Functions of Several Variables .......................................................227
Chapter 8 The Trigonometric Functions .........................................................264
Chapter 9 Techniques of Integration ...............................................................283
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Chapter 10 Differential Equations .....................................................................323
Chapter 11 Taylor Polynomials and Infinite Series...........................................355
Chapter 12 Probability and Calculus .................................................................377
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TI
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, Chapter 0 Functions
0.1 Functions and Their Graphs 16. h( s ) 
s
1. (1  s )
1 1
1 1
h   2  2

2.  2  1 1
2   3
2
3
3.  3  32 3
h     12  3
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4.
 2  1  3 2  2
a 1 a 1
h(a  1)  
5. 1  (a  1) a  2

6. 17. f ( x)  3 x  2, h  0
f 3  h   3 3  h   2  9  3h  2  3h  11
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 3 f 3  3 3  2  11
7. [2, 3) 8.  1, 
 2
f 3  h   f 3 3h  11  11 3h
9. [–1, 0) 10. [–1, 8)   3
h h h
11. , 3 12.  2,   18. f  x  x 2 , h  0
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f 1  h   1  h   1  2h  h 2
2
13. f ( x)  x 2  3 x
f 1  12  1
f (0)  0 2  3(0)  0
f (5)  5 2  3(5)  25  15  10  2
f 1  h   f 1 1  2h  h  1


h h
f (3)  3 2  3(3)  9  9  0
2h  h 2
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  2h
f (7)  (7) 2  3(7)  49  21  70 h

14. f ( x)  x 3  x 2  x  1 19. a. k  x   x  273
3 2 5933  x  273  x  5660
f (1)  1  1  1  1  0
The boiling point of tungsten is 5660°C.
f (1)  (1) 3  (1) 2  (1)  1  0
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3 2 b. f  x  x  32
1 1 1 1 9 5
f            1  
2 2 2 2 8 9
f  x   5660  32  10220
5
f (a)  a 3  a 2  a  1
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The boiling point of tungsten is 10220°F.
15. f ( x)  x 2  2 x 20. a. f (0) represents the number of laptops sold
2 in 2015.
f (a  1)  (a  1)  2(a  1)
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 (a 2  2a  1)  2a  2  a 2  1 b. f (5)  150  2(5)  5 2
f (a  2)  (a  2) 2  2(a  2)  150  10  25  185
In 2020, the company will sell 185
 (a 2  4a  4)  2a  4  a 2  2a
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laptops.
8x
21. f ( x) 
( x  1)( x  2)
all real numbers such that x ≠ 1, 2 or
, 1  1, 2  2,  



1

, 2 Chapter 0 Functions


1 37. positive 38. negative
22. f (t ) 
t 39. [−1, 3] 40. −1, 5, 9
all real numbers such that t > 0 or 0,  
41. ,  1  5, 9 42.  1, 5  9,  
1
23. g ( x )  43. f 1  .03; f 5  .037
3 x
all real numbers such that x < 3 or  , 3 44. f 6  .03

0, .05
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4 45. 46. t ≈ 3
24. g ( x) 
x ( x  2)
 1
all real numbers such that x ≠ 0, –2 or 47. f ( x)   x    x  2
 2
, 2  2, 0  0,  
 1 25
25. f (3)   3   (3  2) 
 2  2
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No, (3, 12) is not on the graph.
48. f(x) = x(5 + x)(4 – x)
f(–2) = –2(5 + (–2))(4 – (–2)) = –36
No, (–2, 12) is not on the graph.
3x  1
26. 49. g ( x) 
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x2  1
3 1  1 2
g 1   1
1 2
1 2
Yes, 1, 1 is on the graph.

x2  4
50. g ( x) 
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x2
27.
 4 2  4 20 10
g  4   
42 6 3
 1
No,  4,  is not on the graph.
 4
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51. f ( x)  x 3
28. f (a  1)  (a  1) 3
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5
52. f ( x)     x
x
5
f (2  h)   (2  h)
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(2  h)
5  (2  h) 2 1  4h  h 2
 
29. function 30. not a function (2  h) 2h
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31. not a function 32. not a function  x for 0  x  2
53. f ( x)  
33. not a function 34. function 1  x for 2  x  5
35. f 0  1; f 7   1 f (1)  1  1
f (2)  1  2  3
36. f  2  3; f  1  0 f (3)  1  3  4