Section # | Solution | . | Assignment | Content of Assignment | Description / Hints |
Sec. 1.1 | . | . | H1 | 2, 8, 28, 30, 45, 50, 56, 64, 65 | equations and models (p.21) |
Sec. 1.2 | . | . | H1 | 1, 6, 7, 8, 9 | functions and curve fitting (p.34) |
Sec. 1.3 | . | . | H1 | 3, 31, 59, 63, 65, 66 | manipulating functions and their graphs (p.46) |
Sec. 7.1a | . | . | H2 | 1, 2, 11, 17, 21, 22, 23, 25 | inverse functions (p.391) |
Sec. 7.6a | . | . | H2 | 1, 2, 10, 11 | inverse trig functions (p.461) |
Sec. 7.2a | . | . | H3 | 1, 2, 10, 17 | exponential functions (p.402) |
Sec. 7.3a | . | . | H4 | 1, 2, 8, 11, 17, 27, 28 | logarithmic functions (p.409) |
Sec. 7.7a | c2.4.10 | . | H5 | 1, 3, 7, 11, 13, 26 | hyperbolic functions (p.468),(hint: for 26 see Example 3 p.466-467) |
Sec. 2.2 | . | . | H6 | 2, 6, 14, 25, 26, 27, 40 | limits (p.74) |
Sec. 2.3 | . | . | H7 | 3, 4, 5, 6, 10, 13, 17, 19, 25, 26, 27, 37, 58, 61 | limit laws (p.84), (hint: for 19 need to factor out an (x+2) in the denominator) |
Sec. 2.4 | . | . | H7 | 15, 19, 24, 44 | technical limits (p.96) |
Sec. 2.5 | . | . | H8 | 1, 2, 4, 6, 32, 40, 42, 45, 48, 55 | continuity (p.106) |
Sec. 3.1 | . | . | H9 | 4, 6, 10, 14, 16, 32, 33 | definition of derivative at a point, tangent lines (p.121) |
Sec. 3.2 | . | . | H10 | 3, 41 | derivative as a function (p.131) |
Sec. 3.3 | . | . | H11 | 23, 25, 27, 35, 43, 49, 57 | level-1 derivatives involving linearity, product, quotient rules (p.144) |
Sec. 3.3 | . | . | H12 | 61, 71, 79, 83, 85, 96 | level-2 derivatives plus concepts (p.144) |
Sec. 3.4 | . | . | H13 | 1, 3, 5, 7, 11, 15 | derivatives of sine and cosine and their products, reciprocals etc... (p.154) |
Sec. 3.5 | . | . | H14 | 1, 3, 5, 7, 9, 13, 15, 17, 23, 25 | level-1 chain rule for composite functions (p.160) |
Sec. 3.5 | . | . | H15 | 41, 43, 48, 59, 87 | level-2 questions on chain rule (p.160) |
Sec. 3.6 | . | . | H16 | 5, 7, 13, 23, 45, 53 | implicit differentiation and some (p.169) |
Sec. 7.2b | . | . | H17 | 31, 33, 37, 39, 43, 49 | derivatives involving exponential functions (p.402) |
Sec. 7.4a | . | . | H18 | 3, 7, 11, 13, 17, 25 | level-1 derivatives of logarithms (p.419) |
Sec. 7.6b | . | . | H19 | 19, 29, 31 | derivatives of inverse trig functions (p.461) |
Sec. 3.8 | . | . | H20 | 1, 15, 43 | related rates (p.186) |
Sec. 3.9 | . | . | H20 | 1, 11, 19 | linearizations and differentials (p.191) |
Sec. 4.1 | . | . | H21 | 29, 31, 33, 35, 45, 72 | extreme values (p.211) |
Sec. 4.2 | . | . | H21 | 1, 5, 11 | Rolle's Theorem, Mean Value Theorem (p.219) |
Sec. 4.3 | . | . | H22 | 7, 9, 11, 13, 29, 40, 53 (please use sign charts to organize your arguments for these problems) | derivatives and shape of graphs (p.227) |
Sec. 4.7 | . | . | H23 | 5, 19, 21, 23, 43, 71 | optimization (p.262) |
Sec. 7.6c | . | . | H23 | 47 | optimization (p.461) |
Sec. 4.5 | . | . | H24 | 9, 13, 42 | the big picture (p.248) |
Sec. 4.4 | . | . | H25 | 3, 7, 9, 11, 19, 22, 25, 29(hint, use Eqn 2 of pg 129) | limits at infinity (p.240), algebra and/or logic will resolve the indeterminancy. |
Sec. 5.1 | . | . | H26 | 3, 15 | the area problem (p.298) |
Sec. 5.2 | . | . | H26 | 21 | definition and properties of the definite integral (p.310) |
Sec. 4.9 | . | . | H27 | 1, 3, 5, 7, 9, 11, 13, 15, 17, 41, 45 | antiderivatives (p.279) |
Sec. 5.3 | . | . | H28 | 15, 19, 21, 23, 25, 27 | Fundamental Theorem of Calculus (FTC)(p.321) |
Sec. 5.3 | . | . | H29 | 29, 31, 33, 37, 45, 69, 71, 73 | Fundamental Theorem of Calculus (FTC)(p.321) |
Sec. 5.5 | . | . | H30 | 1, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 | u-substitution (p.338) |
Sec. 5.5 | . | . | H31 | 35, 37, 39, 41, 43, 45, 47, 49 | u-substitution (p.338) |
Sec. 5.5 | . | . | H32 | 59, 63, 64, 65, 67, 69, 71, 73, 75, 77, 79, 81 | u-substitution (p.338) |
Sec. 7.2d | . | . | H33 | 73, 77, 79, 81 | integrals involving exponential function, some problems need u-substitution technique here. (p.404) |
Sec. 7.4c | . | . | H34 | 69, 71, 73, 79 | integrals that yield logarithms, some problems need u-substitution technique here. (p.421) |
Sec. 7.6d | . | . | H35 | 63, 65, 69, 71 | integrals that yield inverse trig. functions, some problems need u-substitution here. (p.462) |
Sec. 6.1 | . | . | H37 | 5, 7, 9, 11, 13, 19, 21, 29, 49 | areas bounded by curves (p.352) |
Sec. 5.4 | . | . | H36 | 41, 48, 52, 55, 57, 67, 69, 71, 72 | indefinite integrals (most general antiderivative), integrals as sums for computing net change (p.329) |
Sec. 6.2 | . | . | H38 | 1, 3, 5, 7, 9, 49, 51, 53, 57, 65, 70 | volumes by the slice (p.362) |
Sec. 6.3 | . | . | H39 | 5, 7, 9, 11, 46 | volumes by the shell (p.368) |
Sec. 7.8 | . | . | H40 | 5, 11, 13, 15, 19, 21, 25, 27, 43 | L'Hopital's Rule (p.478) |
Sec. 7.8 | . | . | H41 | 49, 55, 59, 63, 85, 93, 94 | L'Hopital's Rule (p.478) |