Homework

Math 45

Spring 2017

Dr. Wilson

1. 1/23 p42: 15, 27, 41; p49: 21, 23, 27; p60: 17, 21, 29, 47, 57, 61, 67; p72: 59, 61, 63, 65, 67, 75, 81.

2. 1/25 p84: 81, 87, 89, 91; pp94-95: 15, 19, 35, 43, 67, 73, 87, 91, 95, 99, 105, 115; pp423-424: 37, 39, 41, 61, 63, 65; pp434-435: 25, 29, 43, 47, 49, 51, 53, 59, 761, 63, 65, 69, 75.

3. p479: 43, 53, 59, 79; p492: 27, 43, 51; pp402-503: 29, 33, 35, 39, 41, 51, 53, 67, 71, 79, 81.

4. pp453-454: 13, 29, 35, 49. 53. 57, 59; p561: 39, 43, 51, 53, 87; p570: 21, 31, 33, 35, 43, 49, 51, 57, 59, 61.

5. p580: 31, 37, 41, 49, 51; p589: 29, 31, 35, 39, 51, 53, 55, 57; p598: 17, 21, 27, 31, 37, 41, 49, 53, 55, 59.

6. p128: 35, 39, 41, 53, 61, 63,67, 69, 83, 85; p159: 19, 21; pp170-171: 27, 29, 31, 41.

7. pp148-149: 49, 51, 53, 63, 73; pp607-608: 23, 41, 53, 59, 61, 63, 65, 67; pp617-618: 23, 25, 27.

8. p529: 27, 33, 35, 43, 51, 57, 59; pp607-608: 27, 45, 47, 79, 87.

9. pp905-906: 51, 55, 61, 65, 81, 85; pp386-387: 33, 41, 49, 61, 119; pp397-398: 25, 29, 49, 55, 57, 61, 69, 89, 97.

10. p906: 63, 73, 75, 79; p928: 45, 55.

11. p917: 15, 17, 21, 23, 61, 63; P 928: 43, 73.

12. p928: 83, 85, 87.

13. p205: 17, 19; p217: 41, 43, 49, 51, 53, 57, 61, 63, 65.

14. p244: 37, 39, 43, 45, 47; p255: 11, 13, 15, 51, 53, 55; pp265-266: 13, 17, 19,23, 29, 33, 37, 41, 43.

15: p266-267: 73, 77; p943: 63, 65, 67, 69, 71, 73.

16. p943: 43, 45, 47, 49, 51, 53.

17. p955: 15, 17, 21, 27, 33, 45.

18. pp1008-1010: 23, 25, 27, 45, 49, 51.

19. pp1019-1020: 37, 39, 41, 51; pp1033-1034: 21, 23, 25, 29, 31, 33, 39, 45, 61, 63, 73, 75.

20. p1041: 15, 17, 19, 27, 35; p1054: 39, 41, 43, 47, 51, 57, 61, 67, 69, 71, 73, 75, 77, 87, 91.

21. p1066: 25, 29, 33, 53, 77, 101.

22. pp1222-1223: 25, 27, 37, 47, 49, 51, 57, 61, 65, 69. Write out Pascal's triangle to the 16th row.

23. 1. Evaluate 1 + (1/2) + (1/2)2 + (1/2)3 + . . . + (1/2)n + . . .
      2. Use the binomial theorem to compute √18. (Hint: √18 = (16 + 2)½)

24. Use infinite sums to compute e3.

25. Use infinite sums to compute ln(10). (Hint: use the fact that 10 = 23(1.25), so ln(10) = ln(1.25) + 3ln(2). Use ln(2) = 0.693147)

26. p981: 13, 15, 17, 129, 37, 39, 41, 43; p994: 35, 39, 43, 61, 63.

27. Use the cubic formula to solve   x3 - 3x + 2 = 0.   And check.