SOLUTION MANUAL
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Applied Calculus 8th Edition
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By Waner and Costenoble, Chapter 1 to 9
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,Table of contents gf gf
1. Functions And Applications.
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2. Nonlinear Functions And Models.
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3. Introduction To The Derivative.
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4. Techniques Of Differentiation.
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5. Applications Of The Derivative.
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6. The Integra.
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gf 7. Further Integration Techniques And Applications Of The Integral.
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8. Functions Of Several Variables.
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9. Trigonometric Models.
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v
,Chapter 1 gf Functions and Applications gf gf
Solutions Section 1.1 gf gf
Section 1.1 gf
1. Using the table:gf gf a. ƒ(0)
gf 2 b. ƒ(2) gf 05
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2. Using the table:gf gf a. ƒ(
gf g f 1) 4 b. ƒ(1) gf 1
3. Using the table:
gf a. ƒ(2) ƒ(
gf gf gf g f 2) 05 2 gf 25 gf b. ƒ( gf g f 1)ƒ( g f 2) (4)(2) 8
c. 2ƒ( 1) 2(4)
gfgfg f 8 g f
4. Using the table:
gf a. ƒ(1)
gf gf gf ƒ( g f 1) 1 4 5 b. ƒ(1)ƒ(
gf g f 2) ( )(2) 2
c. 3ƒ( 2) 3(2) 6
gf g f
5. From the graph, we estimate:
gf gf gf gf a. ƒ(1)
gf 20 b. ƒ(2)
gf 30
In a similar way, we find:
gf gf c. ƒ(3)
gf gf gf gf 30 d. ƒ(5)
gf 20\\e. ƒ(3) ƒ(2) gf 30 30 0
f. ƒ(3 2) ƒ(1) 20
gf
6. From the graph, we estimate:
gf gf gf gf a. ƒ(1)
gf 20 b. ƒ(2)
gf 10
In a similar way, we find:
gf gf c. ƒ(3)
gf gf gf gf 10 d. ƒ(5) gf 20 \\e. ƒ(3) ƒ(2)
gf gf 10 10 0
f. ƒ(3 2) ƒ(1) 20
gf
7. From the graph, we estimate:
gf gf gf gf a. ƒ(gf g f 1) 0 b. ƒ(1)
gf 3 since the solid dot is on (1 3)
gf gf gf gf gf gf gf
ƒ(3)
In a similar way, we estimate c. ƒ(3) 3 d. Since ƒ(3)
gf gf gf gf gf gf gf gf gf gf 3 and ƒ(1)
gf gf 3 g f
3 1
3
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art.
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3
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3 1
4
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art.
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Applied Calculus 8th Edition
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By Waner and Costenoble, Chapter 1 to 9
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v
,Table of contents gf gf
1. Functions And Applications.
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2. Nonlinear Functions And Models.
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3. Introduction To The Derivative.
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4. Techniques Of Differentiation.
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5. Applications Of The Derivative.
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6. The Integra.
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gf 7. Further Integration Techniques And Applications Of The Integral.
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8. Functions Of Several Variables.
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9. Trigonometric Models.
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v
,Chapter 1 gf Functions and Applications gf gf
Solutions Section 1.1 gf gf
Section 1.1 gf
1. Using the table:gf gf a. ƒ(0)
gf 2 b. ƒ(2) gf 05
gf
2. Using the table:gf gf a. ƒ(
gf g f 1) 4 b. ƒ(1) gf 1
3. Using the table:
gf a. ƒ(2) ƒ(
gf gf gf g f 2) 05 2 gf 25 gf b. ƒ( gf g f 1)ƒ( g f 2) (4)(2) 8
c. 2ƒ( 1) 2(4)
gfgfg f 8 g f
4. Using the table:
gf a. ƒ(1)
gf gf gf ƒ( g f 1) 1 4 5 b. ƒ(1)ƒ(
gf g f 2) ( )(2) 2
c. 3ƒ( 2) 3(2) 6
gf g f
5. From the graph, we estimate:
gf gf gf gf a. ƒ(1)
gf 20 b. ƒ(2)
gf 30
In a similar way, we find:
gf gf c. ƒ(3)
gf gf gf gf 30 d. ƒ(5)
gf 20\\e. ƒ(3) ƒ(2) gf 30 30 0
f. ƒ(3 2) ƒ(1) 20
gf
6. From the graph, we estimate:
gf gf gf gf a. ƒ(1)
gf 20 b. ƒ(2)
gf 10
In a similar way, we find:
gf gf c. ƒ(3)
gf gf gf gf 10 d. ƒ(5) gf 20 \\e. ƒ(3) ƒ(2)
gf gf 10 10 0
f. ƒ(3 2) ƒ(1) 20
gf
7. From the graph, we estimate:
gf gf gf gf a. ƒ(gf g f 1) 0 b. ƒ(1)
gf 3 since the solid dot is on (1 3)
gf gf gf gf gf gf gf
ƒ(3)
In a similar way, we estimate c. ƒ(3) 3 d. Since ƒ(3)
gf gf gf gf gf gf gf gf gf gf 3 and ƒ(1)
gf gf 3 g f
3 1
3
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art.
, 3 ( 3)
3
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3 1
4
©gf2024gfCengagegfLearning.gfAllgfRightsgfReserved.gfMaygfnotgfbegfscanned,gfcopiedgforgfduplicated,gforgfpostedgftogfagfpubliclygfaccessiblegfwebsite,gfingfwholegforgfingfp
art.