March 2011
Intermediate to advanced
829 pages
25h 44m
English
Content preview from Technical Mathematics, Sixth Edition
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D.4. CHAPTER 4
Exercise 1
1. Is a function
3. Not a function
5. Not a function
7. Yes
9. Explicit
11. Implicit
13. x is independent; y is dependent.
15. x and y are independent; w is dependent
17. x and y are independent; z is dependent
19. y = 2x + 4
21. y = (2 − 5x)/2
23. 6.
25. −21
27. 12.5
29. − 5
31. 2160 ft; 4450 ft; 7540 ft
33. 0.21 in; 0.44 in
35. 64.7 W; 144 W; 257 W
Exercise 2
1. y = x3
3. y = x + 2x2
5. y = (2/3)(x − 4)
7.
9. P = RI2
11. s = 2.25 + 0.65 w dollars
13. 2a2 + 4
15. 5a + 5b + 1
17. 20
19. −52
21. x = (y − 3)/5
23. x = 5/(5y + 1)
25.
27. e = PL/aE
29. x2 + 2
31. (x − 4)2
33. −77
35. −125
37. y = (x + 15)/14
39.
41.
43. y = −x − 18
45. Domain = −10, −7, 0, 5, 10 Range = 3, 7, 10, 20
47. x ≥ 7; y ≥ 0
49. x ≠ 0; all y
51. x < 1; y > 0
53. x ≥ 1; y ≥ 0
Review Problems
1. (a) Is a function (b) Not a function (c) Not a function
3. S = 4πr2
5. (a) Explicit; y independent, w dependent
7. w = (3 − x2 − y2)/2
9. 7x2
11. 6
13. 28
15. 13/90
17. y is 7 less than 5 times the cube of x.
19.
21. y = 8 −x
23. q[f(x)] = 25x2 + 5x ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.