Homework
Below is a list additional homework problems from the textbook. Some are very similar to Webwork problems. More importantly, they are VERY indicative of exam questions. Though they are not collected, working through these problems is one of the best ways to learn the material.
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Section
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Course Homework
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Topic
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5.7
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1, 3, 4, 5, 7, 13, 15, 17, 19, 29, 35, 41, 43, 51, 56, 57, 67,71, 73, 76, 81, 87, 93,95
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Substitution
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5.8
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7, 9, 11, 12,14, 15, 20,25, 35, 39,40, 46, 47, 49, 53, 59, 68
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Inverse Trig. Integrals
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6.1
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3, 5,6, 7,9,18, 21, 31,35, 43, 47, 54
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Area between curves
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6.2
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1b, 2b, 3, 5, 6,11, 13, 23, 25,27, 29, 33,45, 49
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Volumes, Averages
(no flow rates) |
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6.3
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1, 3, 6, 7, 9, 11, 15, 17, 19, 27, 30, 33, 35, 36, 39, 45, 46, 51
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Volumes of Revolution
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6.4
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1, 3, 5, 7, 9, 21, 23, 35, 37, 39, 41, 44, 47, 48
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Volumes via Shells
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6.5
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11, 13, 15, 17, 19, 20, 21
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Work and Tanks
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7.1
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1, 2, 5, 6, 9, 11, 13, 19, 23, 26, 35, 37, 39, 41, 43, 45, 49, 51, 55, 65, 66, 75,
79, 80
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Integration by Parts
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Midterm 1
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7.2
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1, 2, 3, 5, 9, 15, 17, 23, 24, 29, 31, 35, 37, 43, 44, 45, 46, 47, 49, 53, 55, 59,
61
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Trigonometric Integrals
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7.3
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1, 3, 6, 7, 11, 12, 15, 16, 17, 19, 20, 23, 25, 29, 37, 39, 43, 45
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Trigonometric substitutions
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7.5
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1, 2, 5, 7, 11, 13, 17, 22, 31, 34, 35, 36, 37, 47, 48, 49, 50, 51
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Partial Fractions
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7.6
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4, 11, 13, 15, 17, 19, 21, 23, 27 (u=e^t), 29, 31, 37, 43, 51
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Integration
Strategies |
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7.7
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1, 2, 5, 11, 12, 13, 17, 20, 21, 25, 27, 31, 33, 37(ibp), 41, 43, 55, 61, 63, 67,
69
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Improper Integrals
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8.1
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1, 3, 5, 7, 10, 17 (implicit diff to get y'), 23, 35, 36, 37, 39 (perfect square under
radical), 41
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Arclength, Surface area
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8.2
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1d, 4, 5, 6, 7, 9, 12, 14, 17
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Fluid Pressure
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Midterm 2
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10.1
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15, 16, 17, 21, 23, 25, 35, 39, 40 (take logs), 43, 45, 51, 55, 57, 61, 63, 65
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Sequences
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10.2
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1, 3, 5, 11, 12, 13, 17, 18, 21, 23, 25, 27, 29, 31, 43
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Summing Series
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10.3
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1, 3, 9, 10, 11, 15, 16, 24, 25, 31, 39, 41, 43, 45
47 (L'Hopital), 49, 51, 55, 59, 63 (b_n=1/(n*ln(n)), 69 (b_n=1/n), 75, 77 |
Series Convergence
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10.4
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3, 5, 6, 7, 9 (n>(ln(n))^2), 12, 13, 19, 22, 23, 24, 27, 30
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Abs. & Cond. Convergence
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10.5
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1, 3, 5, 6, 9, 13, 17, 19, 27, 29, 31, 36, 37, 39, 41, 43, 44, 45, 47, 49, 51, 52,
53, 54, 57, 58, 61
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Ratio/Root tests
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10.6
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1, 3, 5, 7, 9, 12, 15, 19, 21, 23, 27, 29, 33, 35, 41, 45, 47a, 52
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Power series
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10.7
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1, 3-15(odd), 19, 21, 27(e^z,z=sin(x)), 29-35(odd), 32, 41, 49, 51, 53, 55, 57, 59,
65, 67, 69, 83, 85
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Taylor series
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Midterm 3
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Fourier Series
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11.1
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7, 9, 11, 13, 19, 23, 25, 26, 27, 29, 30, 31, 35, 43, 45, 49, 51, 53, 55, 57, 63
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Parametric Equations
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11.2
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1, 3, 4, 7, 9(hard), 12, 15, 17, 21
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Arclength, Surface Area, speed
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11.3
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3, 5, 11, 13, 15, 17-20, 23, 26, 29, 31, 39
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Polar Coordinates
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11.4
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1, 3, 5, 7, 9, 11, 13, 19, 25, 27, 28, 31
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Area/Arclength in Polar
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Final
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