Calculus – 8th Edition (Varberg, Purcell & Rigdon) | Complete Test Bank with Answers – Chapters 1–13

TEST BANK FOR CALCULUS 8TH EDITION BY VARBERG
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,1 Preliminaries

1, The sum of a rational number and an irrational number must be _
Answer: irrational
Difficulty: 2 Section:


2. Give an example of irrational numbers whose product is irrational and an example whose
product is rational
Answer: Varies. For the first question, '2 and /3 work, and for the second question
2 aad VS ork.
Difficulty: 2 Section: 1


3. F. ind a ration number between 3
; a n' z
Answer: Varies. The averase is Z.
Difficulty: 1 Section 2

4. Change the repeating decimal 1.163636363... to a ratio of two integers.
64
Answer: z
Difficulty: 2 Section: 2

959 -53
5. Find the best decimal approximation t _[7gj5 'Oat your calculator allows.

Answer: Depends on calculator. About -0.0154299.

Difficulty: 2 Section 2


6. Find the solution set for the inequality 2zr I1 <4 - I.
Answer: (-5,0c).
Difficulty: 1 Section: 3


7. Find the solution set for the inequality 5r II < 15z - 22.

« ()
Difficulty: 1 Section: 3




Instructor's Resource Manual Chapter I Exam Questions 841

,8. Find the solution set for the inequality 3r - 10 >5 +2.
Answer: (-oc. -6)

Difficulty: 1 Section: 3

9. Find the solution set for the inequality z -- 9z + 20 > 0.
Answer: (-0c, 4)u(5,00).
Difficulty: 2 Section: 3

10. Find the solution set for the inequality (r -1) > 16.
Answer: (-o0, -3]u[5,o0).
Difficulty: 2 Section: 3

11. Find the solution set for the inequality r +r -2 < 0
Answer: (-2,1).
Difficulty: 2 Section: 3.

12. Find the solution set for the inequality r --r --8 < 4.
Answer: (-3,4).
Difficulty: 2 Section: 3

13. Find the soluton set for the inequality (r -5)(r-2) -2.
Answer: (--x,3]u[4,c).
Difficulty: 2 Section: 3

14. Find the solution set for the inequalitt'g2
-4
Answer: (-oc,4)u[9,oo).
Difficulty: 2 Section: 3


15. Find the solution set for the inequity =T, <0.
I-

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


16. Find the solution set for the inequality
I+5
go.
Answer: (-5,4].
Difficulty:2 Section: 3




842 Chapter 1 Exam Questions Instructor's Resource Manual

, 17. Find the solution set for the inequality t}5 0.
4r 3

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

18. Find the solution set for the inequai ?
r-2
z1
Answer: [0,2).
Difficulty: 2 Section: 3


19. Fad de sotut,on set tor ue inequaiey z-who.
+I

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

20. Find the solution set for the inequality [3r + 1/< 7.

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

21. Find the solution set for the inequality [Or + 17] < 45.

(-3)
Difficulty: 2 Section: 4

22. Find the solution set for the inequality [r + 16] < 8.

Are (-s-5;)
Difficulty: 2 Section: 4

23. Find the solution set for the inequality [Sr + 17] < 7.

a(--)
Difficulty: 2 Section: 4

24. Describe the interval [--5,5] by means of an inequality involving absolute values.
Answer: [r] < 5.
Difficulty: 1 Section: 4




Instructor's Resource Manual Chapter 1 Exam Questions 843