Math 21A Homework
11th Edition Assignments
Solutions are provided by Dr. Kouba.
HW #1 ... (Section 2.1) ... p. 75: 1, 2, 3, 5, 24, 26, 27, (See definition of average rate of change, ARC, on page 69.) 30, 32, 33 ... Worksheet 1 ... Solutions
HW #2 ... (Section 2.2) ... p. 83: 7, 15, 18, 20, 23, 26, 27, 31, 34, 39, 50, 51a, 56, 57a, 58 ... Solutions
HW #3 ... (Section 2.4) ... p. 106: 2 (Omit j. and k.), 3, 7, 12, 15, 17b, 23, 24, 26, 27, 29, 32, 33, 34, (Use the Squeeze principle on the next 4 problems.) 43, 45, 47, 49, 54, 58, 63, 64, 74 ... Solutions
HW #4 ... (Section 2.5) ... p. 117: 1, 3, 6, 8, 13, 14, 18, 22, 23, 26, (Use intercepts, vertical asymptotes, horizontal asymptotes, and tilted asymptotes to sketch graphs for each of the the following four problems.) 28, 31, 34, 38, 40, 41 ... Solutions
HW #5 ... (Section 2.6) ... p. 129: (For the first three problems clearly state and give brief reasons where each function is continuous.) 16, 20, 26, 38, 39, 40 ... and I.) Use the IMVT to prove that x^3=x+2 has a solution. ... II.) Use the IMVT to prove that 2+ sin x = x has a solution. ... and ... Worksheet 2 Worksheet 2 ... Solutions
HW #6 ... (Section 2.3) ... Worksheet 3 ... Solutions
HW #7 ... (Section 2.7) ... p. 136: 1, 2, 3, (Use the limit definition of derivative to find all derivatives.) 5, 8, 12, 18, 22, 24, (Find f'(0) or show that it DNE.) 31, 32, 36, 37 ... and ... (Section 3.1) ... p. 152: (Use the limit definition of derivative to find all derivatives.) 6, 11, 13, 27-30, 32a, 40, 42, 43 ... Solutions
HW #8 ... (Section 3.2) ... p. 167: 2, 7, 8, 14, 17, 20, 27, 30, 32, 35, 36, 41a, 43, 45, 48a ... and ... Worksheet 4 ... Solutions
HW #9 ... (Section 3.3) ... p. 177: 1, 4, 7, 10, 12, 15, 20a, 26, 29 ... Solutions