Section 3.7

1. $y (x) = - 2 + 3 x$ $y (x) = - 2 + 3 x$
2. $y (x) = 4 - 7 x$ $y (x) = 4 - 7 x$
3. $y (x) = 3 - 2 x^{2}$ $y (x) = 3 - 2 x^{2}$
4. $y (x) = 2 x + 3 x^{2}$ $y (x) = 2 x + 3 x^{2}$
5. $y (x) = 5 - 3 x + x^{2}$ $y (x) = 5 - 3 x + x^{2}$
6. $y (x) = - 10 - 7 x + 2 x^{2}$ $y (x) = - 10 - 7 x + 2 x^{2}$
7. $y (x) = \frac{1}{3} (4 x + 3 x^{2} - 4 x^{3})$ $y (x) = \frac{1}{3} (4 x + 3 x^{2} - 4 x^{3})$
8. $y (x) = 5 + 3 x - x^{3}$ $y (x) = 5 + 3 x - x^{3}$
9. $y (x) = 4 + 3 x + 2 x^{2} + x^{3}$ $y (x) = 4 + 3 x + 2 x^{2} + x^{3}$
10. $y (x) = 17 - 5 x + 3 x^{2} - 2 x^{3}$ $y (x) = 17 - 5 x + 3 x^{2} - 2 x^{3}$
11. $x^{2} + y^{2} - 6 x - 4 y - 12 = 0,$ $x^{2} + y^{2} - 6 x - 4 y - 12 = 0,$ center (3, 2) and radius 5
12. $x^{2} + y^{2} + 6 x - 8 y - 75 = 0$ $x^{2} + y^{2} + 6 x - 8 y - 75 = 0$ , center $(- 3, 4)$ $(- 3, 4)$ and radius 10
13. $x^{2} + y^{2} + 4 x + 4 y - 5 = 0$ $x^{2} + y^{2} + 4 x + 4 y - 5 = 0$ , center $(- 2, - 2)$ $(- 2, - 2)$ and radius $\sqrt{13}$ $\sqrt{13}$
14. $x^{2} + y^{2} - 10 x - 24 y = 0$ $x^{2} + y^{2} - 10 x - 24 y = 0$ , center (5, 12) and radius 13
15. $x^{2} - x y + y^{2} = 25$ $x^{2} - x y + y^{2} = 25$
16. $4 x^{2} - 7 x y + 4 y^{2} = 100$ $4 x^{2} - 7 x y + 4 y^{2} = 100$
17. $100 x^{2} - 199 x y + 100 y^{2} = 100$ $100 x^{2} - 199 x y + 100 y^{2} = 100$
18. $400 x^{2} - 481 x y + 225 y^{2} = 3600$ $400 x^{2} - 481 x y + 225 y^{2} = 3600$
19. $y = 3 + \frac{2}{x}$ $y = 3 + \frac{2}{x}$
20. $y = 10 + \frac{8}{x} - \frac{16}{x^{2}}$ $y = 10 + \frac{8}{x} - \frac{16}{x^{2}}$
21. $x^{2} + y^{2} + z^{2} - 2 x - 4 y - 6 z - 155 = 0,$ $x^{2} + y^{2} + z^{2} - 2 x - 4 y - 6 z - 155 = 0,$ center (1, 2, 3) and radius 13
22. $x^{2} + y^{2} + z^{2} - 10 x + 14 y - 18 z - 521 = 0$ $x^{2} + y^{2} + z^{2} - 10 x + 14 y - 18 z - 521 = 0$ , center $(5, - 7, 9)$ $(5, - 7, 9)$ and radius 26
23. $P (t) = 49.061 - 0.0722 t + 0.00798 t^{2}$ $P (t) = 49.061 - 0.0722 t + 0.00798 t^{2}$
24. $P (t) = 56.590 + 0.30145 t - 0.007375 t^{2}$ $P (t) = 56.590 + 0.30145 t - 0.007375 t^{2}$
25. $P (t) = 62.813 + 1.37915 t - 0.012375 t^{2}$ $P (t) = 62.813 + 1.37915 t - 0.012375 t^{2}$
26. $P (t) = 34.838 + 0.7692 t + 0.0064 t^{2}$ $P (t) = 34.838 + 0.7692 t + 0.0064 t^{2}$
27. $P (t) = 44.678 + 0.850417 t - 0.05105 t^{2} + 0.000983833 t^{3}$ $P (t) = 44.678 + 0.850417 t - 0.05105 t^{2} + 0.000983833 t^{3}$
28. $P (t) = 51.619 + 0.672433 t - 0.019565 t^{2} + 0.000203167 t^{3}$ $P (t) = 51.619 + 0.672433 t - 0.019565 t^{2} + 0.000203167 t^{3}$
29. $P (t) = 54.973 + 0.308667 t + 0.059515 t^{2} - 0.00119817 t^{3}$ $P (t) = 54.973 + 0.308667 t + 0.059515 t^{2} - 0.00119817 t^{3}$
30. $P (t) = 28.053 + 0.592233 t + 0.00907 t^{2} - 0.0000443333 t^{3}$ $P (t) = 28.053 + 0.592233 t + 0.00907 t^{2} - 0.0000443333 t^{3}$
31. $P (t) = 39.478 + 0.209692 t + 0.0564163 t^{2} - 0.00292992 t^{3} + 0.0000391375 t^{4}$ $P (t) = 39.478 + 0.209692 t + 0.0564163 t^{2} - 0.00292992 t^{3} + 0.0000391375 t^{4}$
32. $P (t) = 44.461 + 0.7651 t - 0.000489167 t^{2} - 0.000516 t^{3} + 7.19167 \times 10^{- 6} t^{4}$ $P (t) = 44.461 + 0.7651 t - 0.000489167 t^{2} - 0.000516 t^{3} + 7.19167 \times 10^{- 6} t^{4}$
33. $P (t) = 47.197 + 1.22537 t - 0.077192 t^{2} + 0.00373475 t^{3} - 0.0000493292 t^{4}$ $P (t) = 47.197 + 1.22537 t - 0.077192 t^{2} + 0.00373475 t^{3} - 0.0000493292 t^{4}$
34. $P (t) = 20.190 + 1.00003 t - 0.031775 t^{2} + 0.00116067 t^{3} - 0.000041205 t^{4}$ $P (t) = 20.190 + 1.00003 t - 0.031775 t^{2} + 0.00116067 t^{3} - 0.000041205 t^{4}$
36. $y = 2 x^{2} - 6 x + 7$ $y = 2 x^{2} - 6 x + 7$
38. $x^{2} + y^{2} + 6 x - 8 y - 75 = 0$ $x^{2} + y^{2} + 6 x - 8 y - 75 = 0$ , center $(- 3, 4)$ $(- 3, 4)$ and radius 10
40. $400 x^{2} - 481 x y + 225 y^{2} - 3600 = 0$ $400 x^{2} - 481 x y + 225 y^{2} - 3600 = 0$

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Table of Contents for Section 3.7

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Table of Contents for
Section 3.7