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A list of assigned problems for various topics in calculus ii, including inverse functions, exponential functions, logarithmic functions, trigonometric functions, sequences, and series. Students are expected to solve these problems to deepen their understanding of these concepts.
Typology: Assignments
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page Assigned Problems 7.1 Inverse Functions 391 # 5, 6, 12, 13, 14, 17, 19, 23, 25, 31, 37, 39, 41 7.2 Exponential Functions & Their Derivatives 402 # 7, 9, 25, 27, 31, 33, 37, 39, 51, 54, 55, 61, 73 - 81 odd, 89 7.3 Logarithmic Functions 409 # 3, 5, 9, 13, 17, 23, 25, 26, 45, 49, 53, 68 7.4 Derivatives of Logarithmic Functions 419 # 3, 5, 9, 11, 17, 27, 41, 45, 47, 55, 69 - 79 odd, 87 7.2* The Natural Logarithmic Function 428 # 1, 5, 7, 11, 13 - 15, 17, 21, 25, 35, 59, 63 - 71 odd, 79 7.3* The Natural Exponential Function 435 # 5, 6, 17, 27, 29, 33, 35, 39, 41, 53, 56, 57, 63, 75 - 83 odd, 91 7.4* General Logarithmic & Exponential Functions 445 # 7, 9, 23, 25, 31, 35, 37, 45, 47, 49 7.6 Inverse Trigonometric Functions 461 # 1 - 7 odd, 11, 13, 23, 25, 29, 39, 43, 45, 59 - 69 odd 7.8 Indeterminate Forms and L'Hospital's Rule 478 # 5, 7, 11, 15, 21, 25, 27, 31, 47, 49, 57 - 63 odd 8.1 Integration by Parts 493 # 3 - 9 odd, 17, 23 - 29 odd, 44, 47 8.2 Trigonometric Integrals 501 # 1, 3, 7, 9, 13, 15, 21, 25, 27, 35, 36, 56 8.3 Trigonometric Substitution 508 # 1 - 9 odd, 10, 17 - 25 odd 8.4 Integration of Rational Fctns by Partial Fractions 517 # 1 - 19 odd, 25, 31, 39, 43, 45 - 47 8.5 Strategy for Integration 524 # 3, 5, 9, 11, 17, 18, 29, 37, 38, 41, 42, 49, 54, 58, 59, 73 8.8 Improper Integrals 551 # 1, 5, 9, 11, 15, 20, 21, 25 - 31 odd, 35, 49, 52, 54, 55, 57, 63 9.1 Arc Length 566 # 1, 2, 7, 9, 13, 15, 17 9.2 Area of a Surface of Revolution 573 # 1 - 5, 7, 13, 15, 25 12.1 Sequences 720 # 3 - 13 odd, 17 - 37 odd, 59, 62 12.2 Series 730 # 9 - 29 odd, 32, 35, 37, 47, 49, 51, 59, 73 12.3 The Integral Test & Estimates of Sums 739 # 3 - 7, 11, 15, 17, 19, 23, 27, 29, 33, 42 12.4 The Comparison Tests 745 # 3 - 31 odd 12.5 Alternating Series 749 # 3 - 15 odd, 19, 23, 25, 27, 31 12.6 Absolute Convergence & the Ratio and Root Tests 755 # 3, 5, 7, 8, 9, 11, 12, 13, 16 - 21, 23, 31 12.7 Strategy for Testing Series 758 # 1, 6, 8, 9, 16, 19, 23 - 28, 30, 31, 33, 34, 35, 37 12.8 Power Series 763 # 3 - 9, 11, 13, 15 - 21, 23, 25, 27, 30, 33 12.9 Representations of Functions as Power Series 769 # 3, 5, 7, 9, 13, 15, 25, 27, 37 12.10 Taylor & Maclaurin Series 782 # 6, 9, 15, 17, 19, 29, 30, 31, 33, 43, 47, 49, 51, 55, 57, 63, 65, 67 12.11 Applications of Taylor Polynomials 791 # 3, 5, 7, 8, 15, 17, 21, 25 - 27 11.1 Curves Defined by Parametric Equations 662 # 1, 2, 3, 5 - 15 odd 11.2 Calculus with Parametric Curves 672 # 1 - 8, 17, 31, 33, 34, 37 - 43 odd 11.3 Polar Coordinates 683 # 1 - 9 odd, 15 - 23 odd, 31, 33, 37
page Assigned Problems Ch. 7 Inverse Functions: 483 # 3, 11 - 35 odd, 41, 47, 63, 65, 69 - 77 odd, Exponential, Logarithmic & Inverse Trig Fctns 92 - 103, 115 Ch. 8 Techniques of Integration 554 # 1, 3, 5, 6, 7, 11, 12, 15, 17, 19, 22, 23, 26, 33, 41, 43, 44, 45, 47, 49, 62 Ch. 9 Further Applications of Integration 598 # 1, 2, 3, 4 Ch. 12 Infinite Sequences and Series 795 # 1 - 7 odd, 11 - 21, 23, 25, 27, 28, 30, 31, 34 35, 36, 40 - 45, 47 - 51, 55, 56, 57, 59 Ch. 11 Parametric Equations and Polar Coordinates 706 # 2, 5, 7, 9, 17, 19, 21, 23, 35, 37, 41
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