Test Bank for Calculus, 9th Edition by Varberg, Purcell, and Rigdon – Verified Chapters
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
1. Give an example of irrational numbers whose product
Il` Il` Il` Il` Il` Il` Il` Il` is irrational and an example whose product
Il` Il` Il` Il` Il` Il`
Il` rational.
Answer: Varies. For the first question, and vfi work, and for the Second question and work.
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
Difficulty: 2 Section: 1 Il` Il` Il`
2. Find a rational number between — and —.
Il` Il` Il` Il` Il` Il` Il`
, 31
Answer: Varie The average is
Il` Il` Il` Il`
Diffculty. Il` Section 2 Il`
3. Change the repeating decimal 1.163636363... to a ratio of two integers.
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
64
Diffeulty: 2 Section: 2 Il` Il` Il`
4. Find the best decimal approximation to
Il` Il` Il` Il` Il` Il` that your calculator allows.
Il` Il` Il` Il`
Answer: Depends on calculator. About —0.0154299.
Il` Il` Il` Il` Il`
Difficulty: 2 Section 2 Il` Il` Il`
6. Find the solution set for the inequality 2.
Il` Il` Il` Il` Il` Il` Il`
Answer: Il`
Dimculty: 1 Section: 3 Il` Il` Il`
7. Find the solution set for the inequality 5t
Il` Il` Il` Il` Il` Il` Il`
Answer: Il` N)
Difficulty: 1 Il` Il` 3
I Questions 841
8. Find the sOlution Set for the inequality 31
Il` Il` Il` Il` Il` Il` Il`
Answer: (—oc, —6) Il` Il`
DiffcuI ty: 1 Section: 3
Il` Il` Il` Il`
9. Find the solution set for the inequality 12—91+20>0. Answer: 4) (5, .
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
Difficulty: 2 Section: 3 Il` Il` Il`
XO. Find the solution set for the inequality (x —
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` 16.
Section: Il`
instructor's Resource Manual Il` Il` Chapter Exam
Il` Il`
, Answer: Il` —3) u Il` Il` .
Difficuity: 2 Section: 3 Il` Il` Il`
11. Find the solution set for the inequality '2 + a —2 < O.
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
Answer; (—2, 1). Il` Il`
Difficulty: 2 Section: 3. Il` Il` Il`
12. Find the solution set for the inequality
Il` Il` Il` Il` Il` Il` Il` —8 4. Il`
Answer•. Il` 4).
Difficulty; 2 Section: 3 Il` Il` Il`
13. Find the solution set for the
Il` Il` Il` Il` Il` Il` — 5) (z — 2) —2.
Il` Il` Il` Il` Il`
Answer: (—30,3JlJ14Ä). Il`
Difficulty: 2 Section: 3 Il` Il` Il`
14. Find the solution set for the inequahty
Il` Il` Il` Il` Il` Il` Il` Answer:
Difficulty: 2 Section: 3 Il` Il` Il`
15. Find the solution set for the inequality
Il` Il` Il` Il` Il` Il`
Answer: Il` 6),
Diffculty 2 Section: 3
Il` Il` Il`
16. Find the solution set for the inequality
Il` Il` Il` Il` Il` Il`
Answer: Il` 41 . Il`
Difficulty: 2 Section: 3 Il` Il` Il`
1 Instructor's Resource Manu
Il` Il`
17. Find the Solution Set for the inequality
Il` Il` Il` Il` Il` Il` Il`
41 -3 Il`
—1) U Il`
2 Section: 3
Il` Il`
3r-2
18, Find the solution Set for the inequality
Il` Il` Il` Il` Il` Il` Il` Il`
Answer: [0, 2) , Il` Il` Il`
842 Chapter Il` Il` Exam Questions Il`
, Ig.Findthesolutio
n
Diffculty. 2 Section: 3 Il` Il` Il` Il` Il` for the
Il`
Il` inequality
Difficulty: 2 Section: 3 Il` Il` Il`
20. Find the solution set for the inequality
Il` Il` Il` Il` Il` Il` Il` 1 | 7.
Il` Il`
Difficulty: 2 Section; 4 Il` Il` Il`
21. Find the solution set for the inequality 110:r+ 171 < 45. Answer: (-
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
7 31 T)14
Il` Il` Il`
Diffculty: 2 Section: 4 Il` Il` Il`
22. Find the solution set for the inequality Il` Il` Il` Il` Il` Il` Il` + 161 < 8.
Il` Il` Il`
Answer 8
-0 Il` Il`
Difficulty: 2 Section: 4 Il` Il` Il`
23. Find the wlution set for the inequality + 171 < 7. Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
Difficulty: 2 Section: 4 Il` Il` Il`
24. Decribe the interval Il` Il` Il` by means of an inequality involving absolute
Il` Il` Il` Il` Il` Il`
values.
Il`
Answer. Il` 5.
Diffculty. 1 Il` Il` 4
Questions 843
25. Describe the interval (O, 6) by means Of an inequality involving absolute values.
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
Answer. Il` 3' < 3, Il` Il`
Section: Il`
instructor's Resource Manual Il` Il` Chapter Exam Il` Il`
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
1. Give an example of irrational numbers whose product
Il` Il` Il` Il` Il` Il` Il` Il` is irrational and an example whose product
Il` Il` Il` Il` Il` Il`
Il` rational.
Answer: Varies. For the first question, and vfi work, and for the Second question and work.
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
Difficulty: 2 Section: 1 Il` Il` Il`
2. Find a rational number between — and —.
Il` Il` Il` Il` Il` Il` Il`
, 31
Answer: Varie The average is
Il` Il` Il` Il`
Diffculty. Il` Section 2 Il`
3. Change the repeating decimal 1.163636363... to a ratio of two integers.
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
64
Diffeulty: 2 Section: 2 Il` Il` Il`
4. Find the best decimal approximation to
Il` Il` Il` Il` Il` Il` that your calculator allows.
Il` Il` Il` Il`
Answer: Depends on calculator. About —0.0154299.
Il` Il` Il` Il` Il`
Difficulty: 2 Section 2 Il` Il` Il`
6. Find the solution set for the inequality 2.
Il` Il` Il` Il` Il` Il` Il`
Answer: Il`
Dimculty: 1 Section: 3 Il` Il` Il`
7. Find the solution set for the inequality 5t
Il` Il` Il` Il` Il` Il` Il`
Answer: Il` N)
Difficulty: 1 Il` Il` 3
I Questions 841
8. Find the sOlution Set for the inequality 31
Il` Il` Il` Il` Il` Il` Il`
Answer: (—oc, —6) Il` Il`
DiffcuI ty: 1 Section: 3
Il` Il` Il` Il`
9. Find the solution set for the inequality 12—91+20>0. Answer: 4) (5, .
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
Difficulty: 2 Section: 3 Il` Il` Il`
XO. Find the solution set for the inequality (x —
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` 16.
Section: Il`
instructor's Resource Manual Il` Il` Chapter Exam
Il` Il`
, Answer: Il` —3) u Il` Il` .
Difficuity: 2 Section: 3 Il` Il` Il`
11. Find the solution set for the inequality '2 + a —2 < O.
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
Answer; (—2, 1). Il` Il`
Difficulty: 2 Section: 3. Il` Il` Il`
12. Find the solution set for the inequality
Il` Il` Il` Il` Il` Il` Il` —8 4. Il`
Answer•. Il` 4).
Difficulty; 2 Section: 3 Il` Il` Il`
13. Find the solution set for the
Il` Il` Il` Il` Il` Il` — 5) (z — 2) —2.
Il` Il` Il` Il` Il`
Answer: (—30,3JlJ14Ä). Il`
Difficulty: 2 Section: 3 Il` Il` Il`
14. Find the solution set for the inequahty
Il` Il` Il` Il` Il` Il` Il` Answer:
Difficulty: 2 Section: 3 Il` Il` Il`
15. Find the solution set for the inequality
Il` Il` Il` Il` Il` Il`
Answer: Il` 6),
Diffculty 2 Section: 3
Il` Il` Il`
16. Find the solution set for the inequality
Il` Il` Il` Il` Il` Il`
Answer: Il` 41 . Il`
Difficulty: 2 Section: 3 Il` Il` Il`
1 Instructor's Resource Manu
Il` Il`
17. Find the Solution Set for the inequality
Il` Il` Il` Il` Il` Il` Il`
41 -3 Il`
—1) U Il`
2 Section: 3
Il` Il`
3r-2
18, Find the solution Set for the inequality
Il` Il` Il` Il` Il` Il` Il` Il`
Answer: [0, 2) , Il` Il` Il`
842 Chapter Il` Il` Exam Questions Il`
, Ig.Findthesolutio
n
Diffculty. 2 Section: 3 Il` Il` Il` Il` Il` for the
Il`
Il` inequality
Difficulty: 2 Section: 3 Il` Il` Il`
20. Find the solution set for the inequality
Il` Il` Il` Il` Il` Il` Il` 1 | 7.
Il` Il`
Difficulty: 2 Section; 4 Il` Il` Il`
21. Find the solution set for the inequality 110:r+ 171 < 45. Answer: (-
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
7 31 T)14
Il` Il` Il`
Diffculty: 2 Section: 4 Il` Il` Il`
22. Find the solution set for the inequality Il` Il` Il` Il` Il` Il` Il` + 161 < 8.
Il` Il` Il`
Answer 8
-0 Il` Il`
Difficulty: 2 Section: 4 Il` Il` Il`
23. Find the wlution set for the inequality + 171 < 7. Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
Difficulty: 2 Section: 4 Il` Il` Il`
24. Decribe the interval Il` Il` Il` by means of an inequality involving absolute
Il` Il` Il` Il` Il` Il`
values.
Il`
Answer. Il` 5.
Diffculty. 1 Il` Il` 4
Questions 843
25. Describe the interval (O, 6) by means Of an inequality involving absolute values.
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
Answer. Il` 3' < 3, Il` Il`
Section: Il`
instructor's Resource Manual Il` Il` Chapter Exam Il` Il`
