problem set answers 10 - math tv · 2011. 6. 23. · problem set answers 10.2 17. 18. 19. 20. 21....
TRANSCRIPT
Problem Set Answers 10.2
1.
2.
3.
4.
5.
6.
7.
8.
x
y
(0, 4)
(3, 0)(−3, 0)
(0, −4)
x
y
(0, 2)
(5, 0)(−5, 0)
(0, −2)
x
y
(0, 3)
(4, 0)(−4, 0)
(0, −3)
(−2, 0) (2, 0)
(0, −5)
(0, 5)
x
y
x
y
(0, 2)
(0, −2)
3, 0)(√‾3, 0)(−√‾
x
y
(2, 0)(−2, 0)
( 0, 3 )
( 0, − 3 )
√‾
√‾
x
y
(0, 2)
(5, 0)(−5, 0)
(0, −2)
(−3, 0) (3, 0)
(0, −2)
(0, 2)
x
y
Problem Set Answers 10.2
9.
10.
11.
12.
13.
14.
15.
16.
x
y
(4, 0)(−4, 0)(0, 2)
− 2)(0, √‾
√‾
(0, −6)
(0, 6)
(− ( 3, 0) 3, 0)x
y
√‾ √‾
x
y
(3, 0)(−3, 0)
(0, 4)
(0, −4)
Asymptotes
(−5, 0)
Asymptotes
(5, 0)
(0, 2)
(0, −2)
x
y
x
y
(0, 3)
(4, 0)(−4, 0)
(0, −3)
(−2, 0) (2, 0)
(0, 5)
(0, −5)
x
y
x
y
(0, 3)
(4, 0)(−4, 0)
(0, −3)
(−2, 0) (2, 0)
(0, 5)
(0, −5)
x
y
Problem Set Answers 10.2
17.
18.
19.
20.
21.
22.
23. x-intercepts = ±3 y-intercepts = ±224. x-intercepts = ±3
y-intercepts = ±425. x-intercepts = ±0.2
no y-intercepts26. y-intercepts = ±0.4
no x-intercepts27. x-intercepts = ± 3 __ 5
y-intercepts = ± 2 __ 5
28. x-intercepts = ± 3 __ 4
y-intercepts = ± 5 __ 4
2 4 6 8 10
2468
10
x
y
(0, −2)
(−6, 0) (6, 0)
(0, 2)
x
y
x
y
(2, 0)(−2, 0)
(0, −1)
(0, 1)
x
y
(0, 2)
(0, −2)
(1, 0)(−1, 0)
x
y
(0, 3)
(4, 0)(−4, 0)
(0, −3)
(−2, 0) (2, 0)
(0, −5)
(0, 5)
x
y
Problem Set Answers 10.2
29.
30.
31.
32.
33.
34.
35.
36.
x
y
(6, 2)(2, 2)
(4, −1)
(4, 5)
(4, 2)
(2, 7)
(2, 4) (4, 4)(0, 4)
(2, 1) x
y
x
y
(−2, 2) (2, 2)
(0, −2)
(0, 2)
(0, 6)
x 2
4(y − 2)2
16+ = 1
(3, 4)
(4, 2)(2, 2)
(3, 0)x
y
(3, 2)
x
y
(−5, 3)
(−2, 4)
(−2, 2)
(1, 3)
(−2, 3)
(x + 2)2
9(y − 3)2
1+ = 1
x
y
(2, −1)
(3, −1)(1, −1)
(2, 1)
(2, −3)
x
y
−2 6
(x − 2)2
16y2
4− = 1
y
x
(0, 6)
(0, 2)
(0, −2)
Problem Set Answers 10.2
37.
38.
39.
40.
41. x = 0
42. x = ± 5 √ __
7 ____ 4
43. x = ± 5 √ __
7 ____ 4
44. x = ± 4 √ __
5 ____ 3
45. 846. 6
47. x2 _____ 307.52 + y2
____ 2552 = 1
48. Th e equation is x 2 ___ 202 + y 2 ___ 102 = 1.
A 6-foot man could walk upright under the arch anywhere between 16 feet to the left and 16 feet to the right of the center.
49. Th e equation is x 2 ____ 2292 + y 2
____ 1952 = 1.
50. x 2 __ 9 + y
2 __ 81 = 1
51. 5.3 feet
52. x 2 ___ 144 − y 2
___ 625 = 1
53. (0, 0)54. (−2, 0), (0,−2), (0, 0)55. 4y2 + 16y + 1656. y2 + 6y + 957. x = 2y + 4
58. y = − 2 __ 3 x + 2
59. −x2 + 660. 2x2 − 461. (5y + 6)(y + 2)62. (3x − 4)(x + 7)63. y = ±264. x = ±565. x = ±2
66. y = − 6 __ 5 ; y = −2
(−5, −3) (1, −3)
x
y
(−2, −2)
(−2, −4)
(y + 3)2
1(x + 2)2
9− = 1
(3, 4)
(3, 0)
(4, 2)(2, 2)
y
x
x
y
(y − 2)2
9(x − 4)2
4− = 1
(2, 2) (6, 2)
(4, 5)
(4, −1)
(2, −1)
(3, −1)(1, −1)
y
x