Exam (elaborations)
Solution Manual For Calculus 5th Edition by James Stewart, Kokoska Chapter 1-13
- Course
- Institution
- Book
Solution Manual For Calculus 5th Edition by James Stewart, Kokoska Chapter 1-13
[Show more]
Connected book
Book Title:
Author(s):
- Edition:
- ISBN:
- Edition:
More summaries for
-
Digital Test Bank - Calculus Concepts and Contexts,Stewart,5e
-
Test Bank For Calculus 5th Edition by James Stewart, Kokoska Chapter 1-13
-
Test Bank For Calculus: Concepts and Contexts - 5th - 2023 All Chapters - 9780357632499
1 review
By: heresymistake • 1 week ago
good
By: solutions • 1 week ago
Reply deleted by the user
Seller
Follow
solutions
Reviews received
Content preview
Solution and Answer Guide: Stewart Kokoska, Calculus: Concepts and Contexts, 5e, 2024, 9780357632499, Chapter 2: Section Concept CheckSolution and Answer Guide
CALCULUS 5TH EDITION JAMES STEWART, KOKOSKA
Chapter 1-13
CHAPTER 1: SECTION 1.1
TABLE OF CONTENTS
End of Section Exercise Solutions.............................................................................................................. 1
END OF SECTION EXERCISE SOLUTIONS
1.1.1
(a) f (1) 3
(b) f (1) 0.2
(c) f ( x) 1 when x = 0 and x = 3.
(d) f ( x) 0 when x ≈ –0.8.
(e) The domain of f is 2 x 4. The range of f is 1 y 3.
(f) f is increasing on the interval 2 x 1 .
1.1.2
(a) f (4) 2; g (3) 4
(b) f ( x) g ( x) when x = –2 and x = 2.
(c) f ( x) 1 when x ≈ –3.4.
(d) f is decreasing on the interval 0 x 4.
(e) The domain of f is 4 x 4. The range of f is 2 y 3.
(f) The domain of g is 4 x 4. The range of g is 0.5 y 4.
1.1.3
© 2024 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1
website, in whole or in part.
,Solution and Answer Guide: Stewart Kokoska, Calculus: Concepts and Contexts, 5e, 2024, 9780357632499, Chapter 2: Section Concept Check
(a) f (2) 12 (b) f (2) 16 (c) f (a) 3a a 2
2
(d) f (a) 3a 2 a 2 (e) f (a 1) 3a 2 5a 4 (f) 2 f ( x) 6a 2 2a 4
(g) f (2a) 12a 2 2a 2 (h) f (a 2 ) 3a 4 a 2 2
(i) f (a) 3a 2 a 2
2
9a 4 6a3 13a 2 4a 4
2
(j) f (a h) 3 a h a h 2 3a 2 3h 2 6ah a h 2
2
1.1.4
f (3 h) f (3) (4 3(3 h) (3 h) 2 ) 4 9 3h 9 6h h2 ) 3h h 2
(3 h)
h h h h
1.1.5
f (a h) f (a) a 3a h 3ah h a
3 2 2 3 3 h 3a 2 3ah h 2
3a 2 3ah h 2
h h h
1.1.6
1 1 a x
f ( x) f (a) x a ax ax ax 1
xa xa xa ax( x a) ax
1.1.7
x 3 1 3 x 3 x 3 2x 2 x 1 x 1
2
f ( x) f (1) x 1 1 1 x 1 x 1 x 1 x 1
1
x 1 x 1 x 1 x 1 x 1 x 1 x 1
1.1.8
x4
The domain of f ( x) is x | x 3,3.
x2 9
1.1.9
2 x3 5
The domain of f ( x) is x | x 3, 2.
x2 x 6
© 2024 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 2
website, in whole or in part.
,Solution and Answer Guide: Stewart Kokoska, Calculus: Concepts and Contexts, 5e, 2024, 9780357632499, Chapter 2: Section Concept Check
1.1.10
The domain of f (t ) 3 2t 1 is all real numbers.
1.1.11
g t 3 t 2 t is defined when 3 t 0 t 3 and 2 t 0 t 2. Thus, the domain is t 2,
or , 2.
1.1.12
1
The domain of h( x) is ,0 5, .
4
x 5x
2
1.1.13
The domain of F ( p) 2 p is 0 p 4.
1.1.14
u 1
The domain of f (u ) is u | u 2, 1.
1
1
u 1
1.1.15
(a) This function shifts the graph of y = |x| down two units and to the left one unit.
(b) This function shifts the graph of y = |x| down two units
(c) This function reflects the graph of y = |x| about the x-axis, shifts it up 3 units and then to the left 2
units.
(d) This function reflects the graph of y = |x| about the x-axis and then shifts it up 4 units.
(e) This function reflects the graph of y = |x| about the x-axis, shifts it up 2 units then four units to the
left.
(f) This function is a parabola that opens up with vertex at (0, 5). It is not a transformation of y = |x|.
1.1.16
(a) g f x g x 2 1 10 x 2 1
(b) f g 4 f 10 4 402 1 1601
(c) g g 1 g 10 1 10 10 100
© 2024 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 3
website, in whole or in part.
, Solution and Answer Guide: Stewart Kokoska, Calculus: Concepts and Contexts, 5e, 2024, 9780357632499, Chapter 2: Section Concept Check
(d)
f g f 2 f g 22 1 f 10 5 f 50 502 1 2501
1 1 1 1
(e)
f g x f 10 x 10 x 1 100 x 2 1
2
1.1.17
The domain of h( x) 4 x is 2 x 2 , and the range is
2
0 y 2. The graph is the top half of a circle of radius 2 with center at
the origin.
1.1.18
The domain of f ( x) 1.6 x 2.4 is all real numbers.
1.1.19
t 2 1
The domain of g (t ) is t | t 1 .
t 1
1.1.20
x 1
f ( x)
The domain of x 2 1 is x | x 1,1 .
© 2024 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 4
website, in whole or in part.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller solutions. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for CA$24.43. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
73243 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now