Calculus AB: Chapter 1 Assignments
First – some general directions:
Copy the original problem.
Read directions carefully. Follow those directions along with any others given with the assignment.
Start each assignment on a new sheet of paper. Label it clearly on the top with the assignment number. Do the problems in order, working from top to bottom.
When directions say “Use a graphing utility...”, your work must include a graph.
All graphs are to be done carefully on graph paper. Axes must be labeled appropriately, using a window reflecting the question under consideration. Do not put work and graphs on separate paper.
Correct notation, including limits, is extremely important.
Round all decimals to at least thousandths. Your book does not do this, but it is mandatory on the AP test, so do it on all assignments.
All homework will be graded for thoroughness and correctness.
Now for the assignments:
1.1 p.47 #1, 3-7, 9
1.2a p.54 #3, 6, 8, 9-18, 20
1.2b p.55 #21-23, 25-27, 54 (inc. a counter-ex.), 60
QUIZ
1.3a p.67 #2-4, 15, 18, 25, 27, 29, 34-37, 41, 43-45, 46, 48
1.3b p.68 #49-53 odd, 57-61 odd, 64, 67, 71, 73, 75, 103, 104, 113, 114
Review
Test 1.1-1.3
1.4a p.78 #2, 3, 7, 9, 11, 14, 15, 16, 19, 21
#7-21: Use a variety of the 3 methods.
1.4b p.79 #25, 27, 29, 35, 37, 43, 47, 56, 59, 63, 76, 85, 86, 98
Defend your answers in 35-47.
#56: Put your calculator in dot mode and use an appropriate window.
1.5a p.88 #1, 3, 5, 8, 11, 14, 23, 24, 27, 32
#22, 24: Do algebraically.
#27, 32: Graph in an appropriate window.
1.5b p.88 #33, 35, 37, 41, 43, 59, 60, 62, 65
#33-43: Justify your answers.
Review
Chapter 1 Test
Calculus AB: Chapter 2 Assignments
2.1a p.103 #1
#5 – Do 3 times, using the 3 different definitions.
#8 - Use the 1st definition at a point.
#17, 21, 23 - Use the general definition.
#35 (Find (with gen. def.), set = slope, solve for (x,y),
write equation.)
#71, 76 - Use the alternate definition at a point.
#79
2.1b p.104 #25, 29, 31,
#41, 48, 49, 52, 60, 81, 82, 85
#91, 95 - Use the alternate definition at a point.
Quiz 2.1
2.2a p.115 #3, 9, 17, 21, 32, 35, 37, 43, 56, 57, 58
2.2b p.116 #67, 75, 85, 92, 93, 94, 95, 96, 106, 113, 115 (inc. graphs)
Quiz 2.2
2.3a p.126 #13, 16, 17, 18, 19, 24, 25 (factor 1st), 29, 37, 39, 41, 51,53
2.3b p.126 #59, 62, 64, 66a, 67a, 71, 75, 81, 87, 93, 96
Test 2.1-2.3
OVER
Velocity and Acceleration Worksheet
2.4a p.137 #9, 13, 25, 27, 31, 33 (inc. graph), 40, 43, 53, 57, 59, 62,66
2.4b p.138 #68, 73, 79, 82, 85, 101, 102, 103
2.5a p.146 #3, 5, 9, 11, 15, 23, 24, 27, 28
2.5b p.146 #30, 31, 38, 41a, 47, 53, 58, 60
Test 2.4-2.5
2.6a p.154 #3, 6, 9a (Explain your answer), 13 (ans. Will be an
expression in terms of x, 15a, 17b, 18
2.6b p.154 #19a, 21b, 22a, 23, 25, 26, 27
2.6c p.155 # 28, 30a, 31, 32, 33, 34, 35, 36, 43, 46c
Quest 2.6
Calculus AB: Chapter 3 Assignments
3.1 p.169 #1, 7, 11, 15, 17, 25, 29, 42, 46, 59, 62
3.2a p.176 #3, 4 (inc. graph), 9, 13, 15, 16, 21, 22, 23, 27, 30
3.2b p.177 #40, 41, 46, 47, 48, 51, 52, 68 (graphs for 47-48
detailed)
Quiz 3.1-3.2
3.3a p.186 #6, 15, 21, 23, 31, 33, 34, 36, 45
(graphs for 33, 45 detailed)
3.3b p.186 #47 (find as usual), 55, 56, 57, 71, 76, 80
3.4a p.195 #15, 17, 25, 27, 36, 37, 39
3.4b p.195 #45, 46, 53, 54, 55, 66, 67
Test 3.1-3.4
3.5a p.205 #3-8 all, #21-43 odd
3.5b p.206 #47, 55, 59, 64, 65, 67, 72
3.6a p.215 #5, 11, 18, 19, 49, 52
3.6b p.215 #34, 37, 39: For these 3, do a complete analysis,
including 1st and 2nd derivatives.
#56, 65
Test 3.5-3.6
3.7a p.223 #2, 5, 19, 23, 27
3.7b p.224 #33, 41, 49, 54, 60
3.9 p.240 #13, 21 (Use tan. line to approximate), 27, 33, 34
Quiz 3.7, 3.9
Calculus AB: Chapter 4 Assignments
4.1a p.255 #21, 27, 33, 37, 41, 47, 51, 61
4.1b p.256 #63, 64, 69, 72, 75, 77, 79, 80
4.2a p.268 #27, 28, 29, 30
Find Upper sums, Lower sums, Actual area
4.2b/4.6
p.269 #64, 65 Use Midpoint Rule & find actual area
p.314 #9, 17 Use Trapezoidal Rule & find actual area
Quiz
4.3 p.278 #15, 25, 31, 35, 37, 44, 47
4.4a p.291 #11, 15, 23, 28, 31, 35, 42
4.4b p.291 #43, 45, 48, 54, 62, 81, 87, 88, 91
4.5a p.304 #13, 17, 25, 31, 35, 45, 49, 51
4.5b p.305 #57, 65, 77, 85, 87
Test Chapter 4
Calculus AB: Chapter 5 Assignments
5.1a p.329 #7-10, 25, 37, 49, 59, 65, 69, 70, 71a, 74a
5.1b p.330 #77, 78, 83, 87, 95, 98, 105a-c (w/ precise graph)
5.2a p.338 #5, 9, 19, 21, 27, 30, 33, 38
5.2b p.339 #49, 51, 53, 61, 63, 68, 71, 74, 87, 91, 93
Quiz
5.3 p.347 #5, 35, 41, 49, 56, 59, 81
Accurate graphs! Use 2 colors when doing
and on same set of axes.
5.4a p.356 #2, 10, 27, 33b, 35, 39, 51, 53, 57, 69
5.4b p.357 #73, 80, 89, 95, 97, 110, 116
Test
5.5a p.366 #19, 20, 39, 40, 41, 43, 47, 55, 79a&c
5.5b p.367 #61, 62, 63, 65, 68, 71, 89, 91, 93, 94
Do 93, 94 all on calculator. Limiting size is
5.6 p.377 #7-15 odd, 19a, 20a, 27, 31, 33, 47, 49, 53, 55
5.7 p.385 #6, 7, 10, 21, 27, 28, 29, 31, 34, 37
Also integrate
Test
Calculus AB
Chapter 6 Assignments
#1 Slope fields Packet Part 1
#2 Slope fields Packet Part 2
#3 6.2a p. 418 #5, 7, 8, 9, 11, 13
#4 6.2b p. 418 #27, 38, 39, 43, 59, 62, 69
#5 Chapter 6 Worksheet
Calculus AB
Chapter 7 Assignments
7.1 p.452 #21, 28, 31, 32, 39, 43
(Do integration for 31, 32 by hand; use fnInt for others.)
7.2a p.463 #5, 10, 11, 16, 17, 21, 22
(Do integration for 17, 21, 22 by hand; use fnInt for others.)
Worksheet #1
Quiz 7.1-7.2a
7.3 p.472 #9, 11, 16, 21, 28, 38
(Do integration for 11, 28 by hand; use fnInt for others.)
Worksheet #2
7.2b p.466 #61, 62, 63a&b
(Use fnInt for all.)
Worksheet #3
Test 7.1-7.3
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