Answer:
a2 answers to exercises
ii. yes. suppose a is negative, so write a = -b where b is positive. let c be a
positive number such that c" = b. then (-c)" = a because (-1)" = -1 since
n is odd.
ii, §1, p. 24
3. x negative, y positive 4. x negative, y negative
ii, §3, p. 33
5. y = -~x + i 6. y = -ix + s 7. x = j2
9 9j3 8. y = --;:;- x + 4 - --;:;- 9. y = 4x - 3 10. y = -2x + 2
",3+3 ",3+3
ii. y= -!x+3+ j'!- 12. y=j3x+s+j3 19. -! 20.-8
21. 2 + j2 22.!<3 + j3) 23. y = (x - n>(j22_ n) + 1
24. y=(x-j2)c~-~)+2 25. y= -(x+ l)(j23+ 1)+2
26. y = (x + 1)(3 + j2) + j2 29. (a) x = -4, y = -7 (b) x = ~, y = i
(c) x = -!, y = 1 (d) x = - 6, y = - 5
ii, §4, p. 35
1.j97 2.j2 3.js2 4.ji3 5.!j5 6.(4,-3) 7. sands 8.(-2,5)
9. sand 7
ii, §8, p. 51
5. (x - 2)2 + (y + 1)2 = 25 6. x 2 + (y - 1)2 = 9 7. (x + \)2 + y2 = 3
8. y + ¥ = 2(x + w 9. y - 1 = (x + 2)2 10. y + 4 = (x - \)2
ii. (x + 1)2 + (y - 2)2 = 2 12. (x - 2)2 + (y - \)2 = 2
13. x + ¥- = 2(y + !)2 14. x-i = (y + 2)2
iii, §1, p. 61
1. 4 2. -2 3. 2 4. i s. -! 6. 0 7. 4 8. 6 9. 3 10. 12 ii. 2
12. 3 13. a
