Ch1_even_ans - Answers to Even-Numbered Exercises Exercises 1.1 2(a 2(b 1(c f(2 = 1/2 4 x = 1 and x = 3 10(a graph(b lim r(t = 0.05 lim r(t = 0.10

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Unformatted text preview: Answers to Even-Numbered Exercises Exercises 1.1 2. (a) 2 (b) 1 (c) f (2) = 1/2 4. x = 1 and x = 3 10. (a) graph (b) lim r(t) = 0.05, lim r(t) = 0.10 t8- t8+ (c) all t except t = 8 and t = 16 12. 3 16. limit does not exist 20. 2 30. -6 32. 1 6 40. 0 46. 1 Exercises 1.2 2. (a) 0 (b) + (c) - (d) 0 (e) f (0) = -1, f (1) = 0 8. + 14. + 20. 1/4 32. 200 44. No vertical asymptote. Horizontal asymptote y = 1. Always positve except at x = 0. Graph approaches y = 1 from below. Exercises 1.3 4. -1, 4, 8 1 6. 1,6 8. 1 10. graph 22. (a) f (1) = 1, f (2) = 4, f (3) = 6, f (4) = 2, f (5) = (b) discontinuous at x = 4 28. continuous everywhere 30. c = 12 38. -1/4 42. f takes the value 2 twice and 3 once. 46. No. No; because the function is not continuous. 48. 4, they lies in: (0.5,1) (1,1.5) (2.5,3) and (3.5,4) 50. (a) and (d) 5, 2 ...
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This note was uploaded on 03/02/2012 for the course MATH 10250 taught by Professor Himonas during the Fall '08 term at Notre Dame.

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Ch1_even_ans - Answers to Even-Numbered Exercises Exercises 1.1 2(a 2(b 1(c f(2 = 1/2 4 x = 1 and x = 3 10(a graph(b lim r(t = 0.05 lim r(t = 0.10

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