100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
Official© Solutions Manual to Accompany Finite Mathematics and Calculus with Applications,Lial,9e R517,47   Add to cart
Quickly navigate to
Preview
  2.  
  3. Online School
  4.  
  5. Lial,9e_sm

Class notes

Official© Solutions Manual to Accompany Finite Mathematics and Calculus with Applications,Lial,9e
 39 views  0 purchase
  • Course
  • Lial,9e_sm
  • Institution
  • Online School
  • Book
  • Finite Mathematics and Calculus with Applications

No need to worry about solving textbook exercises anymore with the solutions manual for Finite Mathematics and Calculus with Applications,Lial,9e. Buy the solutions manual now and download it rightaway.

Preview 4 out of 1282  pages

Document information

  • July 21, 2024
  • 1282
  • 2023/2024
  • Class notes
  • Lial
  • All classes

Subjects

  • textbook solutions manual
  • textbook answers
  • end of chapter solutions
  • solutions manual

Connected book

book image

Book Title:

Author(s):

  • Edition:
  • ISBN:
  • Edition:

More summaries for

  • Download the official test bank for Finite Mathematics and Calculus with Applications,Lial,9e
  • Rise Above with the 2024 [Finite Mathematics and Calculus with Applications,Lial,9e] Test Bank
  • MAT1501 EXAM PACK 2023
All for this textbook (5)

Written for

  • Online School
  • Lial,9e_sm
All documents for this subject (1)

Seller

avatar-seller
TestBank4Textbooks

Reviews received

Content preview

Copyright © 2012 Pearson Education, Inc. Publishing as Addison-Wesley. 1 Chapter R ALGEBRA REFERENCE R.1 Polynomials Your Turn 1 22
22
23( 4 5) 4(3 5 7)
31 2 1 5 1 2 2 0 2 8
98 1 3xx xx
xx x x
xx-- - --
=-- - ++
=- + + Your Turn 2 2
22
32 2
32(3 2)(4 2 5)
(3 )(4 2 5) (2)(4 2 5)
12 6 15 8 4 10
12 2 19 10+- -
=- - + - -=- - + - -=+ - -yy y
yy y y y
yy y yyyy y R.1 Exercises 1. 22
22
2
2(2 6 11) ( 3 7 2)
26 1 1 37 2
(2 3) (7 6) (11 2)
9xx xx
xx xx
xx
xx-++ -+-
=- + -+ -=- +- +-=- + + 2. 22
22
22
22
2(4 3 8 ) ( 2 6 2 )
(4 3 8 ) (2 6 2 )
43 8 26 2
(4 2 ) (3 6 ) ( 8 2 )
63 1 0yy yy
yy y y
yy yy
yy y y
yy--+ - --
=- - + +- + +=- - + - + +=- - +- + + +
=- + + 3. 22
2
2
22
26(2 4 3) 4( 7 3)
(1 2 2 4 1 8 )
( 4 28 12)
(1 2 4 )
( 24 28 ) (18 12)
16 4 6qq qq
qq
qq
qq
qq
qq-+ - + - + -
=- - +
+- + -
=- -
+- + + -
=- + + 4. 22
22
22
22(3 4 2) 3 ( 4 5)
(6 8 4) (3 12 15)
(6 3 ) (8 12 ) (4 15)94 1 9++- - +-
=+ + +- +=++ -+ +=- +rr rr
rr r rrr rr
rr 5. 22
22
2(0.613 4.215 0.892) 0.47(2 3 5)
0.613 4.215 0.892 0.94
1.41 2.35
0.327 2.805 1.458-+- - +
=- + -
+-
=- - -xx x x
xx x
x
xx 6. 22
22
22
20.5(5 3.2 6) (1.7 2 1.5)
(2.5 1.6 3) ( 1.7 2 1.5)
(2.5 1.7 ) (1.6 2 ) ( 3 1.5)0.8 3.6 1.5+- - - -
=+ - + - + +=-+ + + - +=+ -rr r r
rr r rrr r r
rr 7. 2
2
329( 2 3 1 )
9( 2 ) 9( 3) 9(1 )18 27 9mm m
mm mm m
mm m-+ -
=- - - -=- - + 8. 34 26 ( 2 5 6) 12 30 36x x x xxx-++ = - + + 9. 22
22(3 2 )(3 5 )
(3 )(3 ) (3 )(5 ) ( 2 )(3 ) ( 2 )(5 )
91 56 1 099 1 0-+
=++ - + -=+--=+-ty ty
tt t y yt y y
tt y t y ytt yy 10. 22
22(9 )(2 )
(9 )(2 ) (9 )( ) ( )(2 ) ( )( )
18 9 2
18 7+-
=+ - + + -=- + -=- -kq kq
kk k q qk qq
kk q k q qkk q q 11. 2
2(2 3 )(2 3 )
(2)(2) (2)(3 ) ( 3 )(2) ( 3 )(3 )
4 66949-+
=+ + - + -=+ - -=-xx
xx x x
xxx
x 12. 2
2(6 5)(6 5)
( 6 ) 6 )( 6 ) ( 5 )( 5 ) ( 6 )( 5 ) ( 5 )
36 30 30 2536 25+-
=+ - + + -= -+-=-mm
mm m m
mm mm 2 Chapter R ALGEBRA REFERENCE Copyright © 2012 Pearson Education, Inc. Publishing as Addison-Wesley. 13. 21 31
58 52
23 21 1 355 52 8 5
11
82æö æö÷÷ çç++÷÷ çç ÷÷÷÷ ççèø èø
æö æö æö æö æö æö÷÷ ÷÷ ÷÷çç çç çç=++÷÷ ÷÷ ÷÷çç çç çç÷÷ ÷÷ ÷÷÷÷ ÷÷ ÷÷çç çç ççèø èø èø èø èø èø
æö æö÷÷çç+÷÷çç÷÷÷÷ççèø èøyz yz
yy yz zy
z z 22
22
226131
25 5 40 16
68 3 1
25 40 40 16
61 1 1
25 40 16yy zy zz
yy z z
yy z z=+ ++
æö÷ ç =+ + + ÷ ç ÷÷ çèø
=++ 14. 32 51
43 43
35 31 25
44 43 34
21
33æö æö÷÷ çç-+÷÷ çç ÷÷÷÷ ççèø èø
æö æöæö æöæ ö æö÷÷ ÷÷ ÷÷çç çç ç ç=++ -÷÷ ÷÷ ÷÷çç çç ç ç÷÷ ÷÷ ÷÷÷÷ ÷÷ ÷÷çç çç ç çèø èøèø èøè ø èø
æö æ ö÷÷çç+-÷÷çç÷÷÷÷ççèø è ørs rs
rr rs sr
ss 22
221 5 152
16 4 6 9
15 7 2
16 12 9rr s r s s
rr s s=+ - -=- - 15. 2
2
22
322
3(3 1)(9 3 1)
(3 1)(9 ) (3 1)(3 ) (3 1)(1)
3 ( 9)1 ( 9) 3 ( 3 )
1(3 ) 3 (1) 1(1)
27 9 9 3 3 1
27 1-+ +
=- +- +-
=- +
-+-
=- + - + -
=-pp p
pp pp p
pp p pp
pp
pppp pp 16. 2
2
2
32 2
32(3 2)(5 4)
(3 )(5 ) (3 )( ) (3 )( 4)
(2)(5 ) (2)( ) (2)( 4)
15 3 12 10 2 8
15 13 10 8pp p
pp p p p
pp
pp pppppp++ -
=+ + -
++ + -
=+ - ++ -=+- - 17. 2
22
32 2
3(2 1)(4 2 1)
2 (4 2 1) 1(4 2 1)
84 2 42 1
81mm m
mm m m m
mmm mmm+- +
=- + + - +=-+ +- +=+ 18. 32
32
32
43 2 32
43 2(2 ) ( 1 2 3 1 )
(12 ) ( 3 ) ( ) (1)
2 ( 1 2 )2 ( 3 )2 ( )2 ( 1 )
12 3 24 6
22
12 21 5 3 2+- + +
=+ - + +
++ - + +
=- + + +-
++
=+- + +kk k k
kk k k k k k
kk k
kk k k kk
k
kk k k 19. 22
2
22 2() ( 3 2 )
( 3) ( 2) ( ) ( 3) ( 2)
() ( 3 ) ( 2 ) ()
32 32 3
2
32 2 3++ - -
=+ - + - ++ -
+-+ +- +-
=-- +-- +
--
=+ +---xyz x y z
xx x y x z yx y y
yz z x z y zz
x x y x zx yyy zx z
yz z
x xy xz y yz z 20. 2
22
22 2(23 ) ( 22 )
( 2) ( 2) () 2( 2) 2( 2)
2 ( )3 ( 2 )3 ( 2 )3 ( )
22 42 6 6
32
22 5 48 3+- -+
=+ - + + + -
+- - - -
=-+ ++ - +
-+- +
=+ - -+ -rs t rs t
rr r s r t sr s s
stt rt st t
rr s r t r s s t r t s t
tr t s t t
rr s r t ss t t 21. 2
2
2
32232(1 ) (2 ) (3 )
[ ( 2) 1( 2)]( 3)
[2 2 ] ( 3 )[3 2 ] ( 3 )
(3 ) 3 (3 ) 2 (3 )
339 2 661 1 6+++
=+ + + +=+ + + +=+ + +
=+ ++ + +
= +++ + +=+ + +xx x
xx x xxx x xxx x
xx x x xxxxx xxx x 22. 2
2
2
32 232(1 ) ( 2 ) (3 )
[ ( 2) ( 1)( 2)]( 3)
(2 2 ) ( 3 )
(2 ) ( 3 )
(3 )(3 ) ( 2 ) (3 )
33 2 6
25 6-+-
=+ + - + -=+ - --=+ --
=- + - + - -
=- +--+=- -+xx x
xx x x
xx x xxx x
xx x x xxx xx xxxx 23. 2
2
2(2 )(2 ) (2 )
(2 ) 2 (2 )
224
44xx x
xx xxx xxx+= + +
=+ ++=+++=++ Section R.2 3 Copyright © 2012 Pearson Education, Inc. Publishing as Addison-Wesley. 24. 2
22
22(2 4 ) (2 4 )(2 4 )
2( 2 4) 4( 2 4)
4881 641 61 6ab ab ab
aa b ba baa b a bbaa b b-= - -
=- --=--+=- + 25. 3
22
22(2 )
[( 2 )( 2 )]( 2 )
(224 ) ( 2 )
(44 ) ( 2 )-
=- - -=--+ -=-+ -xy
xy xy xy
xx y x y y x yxx y y x y 22
22
32 22 23
32 23(44 )
(44 ) ( 2 )
44 28 8
61 28=-+
+-+ -
=- + - + -
=- + -xx y y x
xx y y y
xx y x yx y x yyxx yx yy 26. 32
22
32 2 2
23
32 2 3(3 ) (3 )(3 )
(3 )(9 6 )
27 18 3 9
6
27 27 9xy xy xy
xy x x yy
xx y x y x y
xy y
xx y x y y+=+ +
=+ ++=+ ++
++
=+ ++ R.2 Factoring Your Turn 1 Factor 43 244 1 8 .z zz++ 43 2
22 2 2
2244 1 8
( 2 )2 ( 2 )2 ( 2 )9
(2 )(2 2 9)zz z
zz zzzzz z++
=⋅ +⋅ +⋅
=+ + Your Turn 2 Factor 22654 .aa b b+- 22654 ( 2) ( 3 4 )aa b b a b a b+-=- + R.2 Exercises 1. 32 2 2
271 4 7 7 2
7( 2 )aa a a a
aa+= ⋅ + ⋅
=+ 2. 32 2
232 49 3 3 8 3 3
3( 8 3 )yy y y y y y y
yy y+ +=⋅+⋅+⋅
=+ + 3. 42 3 22
22 2 2
2213 39 26
13 13 3 13 2
13 ( 3 2 )pq pq pq
pqp q p q p p q q
pq pq
p q-+
=⋅ -⋅ +⋅
=- + 4. 432 2
22 2 2 2
22 260 120 50
10 6 10 12 10 5
10 (6 12 5 )-+
=⋅ -⋅+⋅
=- +mm n m n
mm m m n mn
mm m n n 5. 251 4 (7 ) ( 2 ) mm m m--=- + since ( 7)(2) 14-= - and 7 2 5.-+ = - 6. 245 (5 ) (1 ) xx xx+- =+ - since 5( 1) 5-= - and 1 5 4.-+ = 7. 292 0 (4 ) (5 ) zz z z++=+ + since 4 5 20⋅= and 4 5 9.+= 8. 287 (7 ) ( 1 ) bb b b-+ =- - since (7 ) (1 ) 7--= and 7 ( 1) 8.-+- = - 9. 2265() ( 5 ) aa b ba b a b-+= -- since 2() ( 5 ) 5bb b-- = and ( 5 ) 6 . bb b-+- = - 10. 2223 5 ( 5 ) ( 7 ) s st t s t s t+- = - + since 2(5 ) ( 7 ) 3 5tt t-= - and 7( 5 ) 2 .tt t+- = 11. 2242 1 ( 3 ) ( 7 ) yy z zy z y z-- = + - since 2(3 )( 7 ) 21z zz-= - and 3 ( 7 ) 4 . z zz+- = - 12. 234 7xx+- The possible factors of 3 x2 are 3 x and x and the possible factors of –7 are –7 and 1, or 7 and –1. Try various combinations until one works. 234 7 ( 3 7 ) ( 1 )xx x x+- = + - 13. 231 0 7aa++ The possible factors of 3 a2 are 3 a and a and the possible factors of 7 are 7 and 1. Try various combinations until one works. 231 0 7 ( 1 ) ( 3 7 )aa aa++ = + + 14. 215 2 (5 2)(3 1)yy y y+-= + - 15. 2221 13 2 (7 2 )(3 )++ = + +mm n n m n m n 16. 226 48 120 6( 8 20)
6( 10)( 2)aa a a
aa--= - -
=- + 17. 32 231 2 9 3 ( 4 3 )
3( 1 ) ( 3 )mm m m m m
mm m++ = + +
=+ + 18. 2241 0 6 2 ( 25 3 )
2(2 3)( 1)aa a a
aa++ = + +
=+ + 4 Chapter R ALGEBRA REFERENCE Copyright © 2012 Pearson Education, Inc. Publishing as Addison-Wesley. 19. 432 2
22 2
224 10 4
2( 1 2 5 2)
2( 4 ) ( 3 2 )aa b a b
aa a bb
aab a b+-
=+ -
=- + 20. 43 2 2
22 2
224 36 60
12 (2 3 5 )
12 ( )(2 5 )xx y x y
xx x y y
xx y x y+-
=+ -
=- + 21. 22 264 8
(8 ) (8 )xx
xx-=-
=+ - 22. 22 292 5 ( 3 ) ( 5 )
(3 5)(3 5)mm
mm-= -
=+ - 23. 22
2210 160 10( 16)
10( 4 )
10( 4)( 4)xx
x
xx-= -
=-
=+- 24. 296 4x+ is the sum of two perfect squares. It cannot be factored. It is prime. 25. 22 2 2 2
214 49 2 7 7
(7 )z zy y z zy y
zy++ = + ⋅ +
=+ 26. 22 2 2
210 25 2 5 (5 )
(5 )s st t s st t
st-+ = - ⋅ +
=- 27. 22 2
292 4 1 6 ( 3 ) 2 3 4 4
(3 4)pp p p
p-+ = - ⋅ ⋅ +
=- 28. 33 3
22
2216 6
( 6)[( ) ( )(6) (6) ]
(6 ) ( 63 6 )aa
aa a
aa a-= -
=- + +
=- ++ 29. 33 3 3
2227 64 (3 ) (4 )
(3 4 )(9 12 16 )rsr s
rs r r s s-=-
=- + + 30. 33
33
23 375 3( 125)
3( 5 )
3( 5)( 5 25)mm
m
mm m+= +
=+
=+ - + 31. 44 2 2 2 2
22 22
22() ()
() ()() ( ) ( )xy x y
xy xy
xy x y x y-= -
=+ -
=+ + - 32. 44 2 22 2
22 22
222 2
2216 81 (4 ) (9 )
(4 9 )(4 9 )
(4 9 )[(2 ) (3 ) ](4 9 )(2 3 )(2 3 )ab a b
ab abab a bab a b a b-= -
=+ -=+ -=+ + - R.3 Rational Expressions Your Turn 1 Write in lowest terms 2
256.
27 3zz
zz++
++ 2
256 (3 ) (2 )
(3 ) ( 21 ) 27 3
2
21zz z z
zz zz
z
z++ + +=++ ++
+=+ Your Turn 2 Perform each of the following operations. (a) 22
2256 2 1
25 3 2 3
2)( 3) (2 1)( 1)
(2 1)( 3) ( 3)( 1)
(2 ) (3 )zz z z
zz z z
zz z z
zz zz
zz++ - -⋅
-- +-
(+ + + -=⋅+- +-
++=(2 1)z+ (1 )z-
(2 1)z+(3 ) (3 )zz-+ (1 )z-
2
3z
z+=- (b) 2235
32 4
35
( 2)( 1) ( 2)( 2)
3( 2 )
(2 ) (1 ) (2 )
5( 1 )
(2 ) (2 ) (1 )-+
++ -
-=+++ -+
--=⋅++ -
++⋅-+ +aa
aa a
aa
aa aa
aa
aa a
aa
aa a 22
2
2(5 6 ) ( 55 )
(2 ) (2 ) (1 )
66
(2 ) (2 ) (1 )
6( 1)
(2 ) (2 ) (1 )-++ +=-++
+=-++
+=-++aa aa
aaa
a
aaa
a
aaa R.3 Exercises 1. 255
35 5 7 7vv v v
vv⋅⋅==⋅⋅ 2. 3
225 5 5 5
25 2 10p ppp p
pp p⋅⋅⋅⋅==⋅⋅⋅

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

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

Quick and easy check-out

You can quickly pay through EFT, credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

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 this summary from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller TestBank4Textbooks. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy this summary for R517,47. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

83100 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy summaries for 14 years now

Start selling
R517,47
  • (0)
  Buy now