Notes, Tests & Practice Work


Sample Problems

The following are practice problems taken from the course textbook (unless otherwise stated). These have been chosen to help you practice your skills and prepare for the tests. It is strongly recommended that you do these problems as the course progresses, as it is very easy to fall behind in this material.

 

Practice Materials & Notes

The following are collected examples, and extended notes, intended to assist you in the progress of the course.

These will be useful in studying for the term tests, so make sure you go through them at or before the point where they are mentioned during the course.

Practice Problems - From 8th ed. ONLY

7th Edition Problems are Linked HERE

Section 7.5

3,7,11,45,73

Section 7.8

14[ans. 1-1/e],17,24[ans. 1],29,31,32[ans. Pi/2] ,37,53,57,58[ans. p>1, 1/(p-1)]

Chap. 7 Review

7, 11, 15, 45

Appendix E

38,41,47(use induction)

Section 11.1

9, 15, 17, 29, 33, 35, 39, 41, 49, 73, 77, 80 [b) ans. 2], 81

Section 11.2

15, 17, 19, 23, 25, 37, 42[ans. diverge], 45, 47, 57, 59, 67

Section 11.3

23, 24[ans. converge], 29, 37(a,c,d), 40[ans. n>e100]

Section 11.4

3, 5, 7, 9, 13, 15, 21, 25

Section 11.5

3-13(odd only) 23, 25

Section 11.6

3, 5,9, 23, 25, 29, 31,43

Section 11.7

1, 7, 13, 19, 21

Section 11.8

3, 5, 11, 15, 17, 23, 27, 29, 30[ans. a) conv. b) div. c) conv. d) div.]

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Section 11.9

5, 7, 9, 13, 15, 25, 40[ans. a) 1/(1-x)2,b) x/(1-x)2, 2, c) 2x2/(1-x)3, 4, 2]

Section 11.10

11, 13, 15, 23, 31, 47, 53, 55, 73

Section 11.11

9, 15, 25, 27

Section 8.2

1(a),9,12,13,15,16[ans. 6Pi/5],27

Section 8.3

1, 3, 5, 9, 13, 15

Section 9.1

3, 4[a) ans. ±5/2], 9, 11, 13, 15

Section 9.3

9, 15, 19, 20[ans. 1+exp(x2/2)], 29, 39, 45

Section 3.8

3, 9, 11, 14[ans. y=5*exp(2x)], 17

Section 9.5

7-15(odd only), 29, 33

Section 10.1

1, 3, 7, 11, 15, 19, 24 [ans. a)III b)I c)IV d)II], 25

Section 10.2

7, 11, 19, 33, 41, 43, 51, 61

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Section 10.3

3, 5, 7, 11, 17, 19, 21, 25, 29, 31, 37, 54 [ans. a)VI b)III c)II d)IV e)V f)I ], 63

Section 14.1

9, 11, 13, 15, 19, 23-31(odd only), 32 [ans.a)III b)I c)IV d)V e)VI f)II], 45, 47, 49, 53, 61 [ans. C II],62 [ans. A IV],63 [ans. F I], 64 [ans. E III],65 [ans. B VI],66 [ans. D V]

Section 14.2

5-17 (odd only), 29, 31, 33, 37

Section 14.3

5, 6, 7, 10[ans. fx(2,1)~+3,fy(2,1)~-2], 11, 15-35,(odd only), 47, 49, 51, 53, 59, 65, 67, 75, 77, 81

Section 14.4

1, 3, 5, 11, 13, 19, 21, 27, 31, 33

Section 14.5

3-13(odd only), 14, 23, 25, 27, 29, 35, 49, 51

Section 14.6

15, 19, 21, 29, 31, 33, 39

Section 15.1

1,3,7,9,11,15, 17, 19, 21, 32, 33, 37, 39, 47

Section 15.2

7, 9, 11, 15, 22, 23, 45-53(odd only), 61

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