University:
Carleton College
Course:
MATH 111 | Introduction to Calculus
Academic year:

2024
Views:

493

Pages:

1
Author:

MoonlitMarauder

Honors Pre-Calculus Chapter 2 Even Answers Section 2.1 2. d 4. a 56. 16 feet 60a. $408 , $468, $432 60b. $6.25 60c. $468.75 66. a 6. d 66. See graph 68. See graph 90. symmetry: y-axis; two x-intercepts Section 2.2 2. h 4. a 8. b 92a. show your work to verify 92b. (0, 6) {this is the interval that represents 0 < 𝑥 < 6} 96. The model fits the data 92c. 𝑥 = 2.54 98. discuss in class – answers will vary Section 2.3 56. −2, 0, 1 92b. 5699, 3102 92c. discuss in class – answers will vary 100. 2(𝑥 − 2)(𝑥 − 1)(𝑥 + 2) 102. 5 Section 2.4 24. −2.4 + 17.75𝑖 82. False, the expression equals 1 84. False Section 2.5 8. Zeros ±2, ±𝑖. Two real zeros, they are the same 28. ±𝑖, −3, −3 (𝑥 + 3)2 (𝑥 + 𝑖)(𝑥 − 𝑖) 24. −5 ± 2𝑖, −1 (𝑥 + 1)(𝑥 + 5 + 2𝑖)(𝑥 + 5 − 2𝑖) 66. True Section 2.6 2. Domain: all real numbers except 1; (−∞, 1) U (1, ∞) f approaches −∞ from the left and ∞ from the right of 𝑥 = 1 8. d 10. e 12. f 14a. vertical asymptote 𝑥 = 2; horizontal asymptote 𝑦 = 0 14b. Holes – none 3 16a. vertical asymptote 𝑥 = 2; horizontal asymptote 𝑦 = 1 2 16b. Hole at 𝑥 = −1 44a. The model fits the data very well 44b. $366.8 billion; $332.3 billion; $319.1 billion 44c. 𝑦 ≈ 292.7; as time passes, the national defense outlays approach $292.7 billion 52. −2𝑥 2 +2𝑥+12 𝑥 2 −𝑥−2 Section 2.7 78a. 𝑦 = 20. See graph in class 24. See graph in class 48. See graph in class 50. See graph in class 78b. (0, ∞) 86b. 10 2 3 78c. 16 meters 500 𝑥 86a. Domain: (0, ∞); the model is valid only after the elk have been released 86c. 22 elk, 24 elk, 25 elk 86d. Yes, 27 elk Section 2.8 2. Linear 4. Neither 6. Quadratic 18b. 𝑆 = 117.1𝑡 + 4727; 0.98921 16b. 𝑆 = −3.07𝑡 2 + 131.9𝑡 + 597 16d. 2009 18d. 𝑆 = −3.62𝑡 2 + 182.3𝑡 + 4413; 0.99151 18g. Linear model: 2009; Quadratic model: the number of stations cannot exceed 7000 ALL GRAPHS IN ALL SECTIONS WILL BE SHOWN IN CLASS 18f. Quadratic model 22. True