TEST BANK FOR CALCULUS 8TH EDITION VARBERG_compressed.

TEST BANK FOR CALCULUS 8TH EDITION BY VARBERG
n n n n n n n



 

,1 Preliminaries

1,n Thensumn ofn an rationaln numbern andn ann irrationaln numbern mustn ben_
Answer:n irrationalnDiff
iculty:n 2 Section:


2. Given ann examplen ofn irrationaln numbersn whosen productn isn irrationaln andn ann examplen whose
productn isnrational
Answer:n Varies.n Fornthenfirstnquestion,n'2nandn /3nwork,nandn fornthensecondnquestion
2 aad VS ork.
n n n


Difficulty:n n 2 Section:n n 1


3. F.nindn anration numbern between 3
;na n' z
Answer:n Varies.n Then averasenisn Z.
Difficulty:n n 1 Sectionn2

4. Changenthenrepeatingndecimaln 1.163636363...n tonanrationofntwonintegers.
64
Answer: z
Difficulty:n 2 Section:n 2

959 -53
n

5. Findn then bestn decimaln approximationnt _[7gj5n 'Oatnyourn calculatorn allows.

Answer:nDependsnonncalculator.n Aboutn -

0.0154299.nDifficulty:n 2 Sectionn2


6. Findnthensolutionnsetnforntheninequalityn2zrnI1n<4n-nI.

Answer:n (-5,0c).
Difficulty:n n 1 Section:n n 3


7. Findn thensolutionn setn forn then inequalityn 5r IIn<n15zn-n22.

«n()
Difficulty:n n 1 Section:n n 3




Instructor'snResourcenManual Chapter n n I Examn Questions 841
n

,n
8.n Findn thensolutionnsetn forn then inequalityn 3rn-n10n>5n+2.
Answer:n (-oc.n-6)

Difficulty:n 1 Section:n 3

9. Findnthensolutionnsetnforntheninequalityn z --
n



9zn+n20n>n0.nAnswer:n (-0c,n4)u(5,00).
n



Difficulty:n 2 Section:n 3

10. Findnthensolutionnsetnforntheninequalityn(rn-

1)n > 16. Answer: (-o0, -3]u[5,o0).
n n n n



Difficulty:n 2 Section:n 3

11. Findnthensolutionnsetnforntheninequalityn n+rn-2n<n0 r
Answer:n (-2,1).
Difficulty:n 2 Section:n 3.

r
12. Findn thensolutionnsetn forn then inequalityn n--rn--8n<n4.
Answer:n (-3,4).
Difficulty:n 2 Section:n 3

13. Findnthensolutonnsetnforn theninequalityn (rn-5)(r-2) -2.
Answer:n n (--x,3]u[4,c).
Difficulty:n 2 Section:n 3

14. Findn n then n solutionn n setn n forn n then n inequalitt'g2
-4
Answer:n (-oc,4)u[9,oo).
Difficulty:n 2 Section:n 3


15. Findn then solutionnsetn forn then inequityn =T,<0. I-
n



Answer:n (-1.6).
Difficulty:n 2 Section.n 3


16. Findnthensolutionnsetnforntheninequalityn
I+5n
go.
Answer:n (-5,4].
Difficulty:2 Section:n 3




842 Chaptern n 1 Examn Questions Instructor'snResourcenManual

, 17. Findnthensolutionnsetnforntheninequalitynt}5n0.
4rn3

A»er.n «-s.-De(7.e)
Difficulty:n 2 Section:n 3

18. Findnthensolutionnsetnforntheninequai
r-2
? z1
Answer:n [0,2).
Difficulty:n 2 Section:n 3


19. Fadn densotut,onn setn tornueninequaieyn z-who.
+In




are(-3).
Difficulty:n 2 Section:n 3

20. Findn thensolutionn setn forn then inequalityn [3rn +n 1/<n 7.

a[-{a]
Difficulty:n 2 Section:n 4

21. Findn thensolutionnsetn forn then inequalityn [Orn+n17]n <n45.

(-3)
Difficulty:n 2 Section:n 4

22. Findn thensolutionn setn forn then inequalityn[rn+n16]n <n8.

Aren (-s-5;)
Difficulty:n 2 Section:n 4

23. Findn thensolutionn setn fornthen inequalityn [Srn+n17]n <n 7.

a(--)
Difficulty:n 2 Section:n 4

24. Describen then intervaln [--5,5]n byn meansn ofn ann inequalityn involvingn absoluten values.
Answer:n [r]n < 5.
n


Difficulty:n 1 Section:n 4




Instructor's Resource Manual Chapter 1 Exam Questions 843