Take a Diagnostic Exam 27
3.3 Answers to Diagnostic Test
1.A 21.
1
2
<t< 1 41.50 feet
2.−
1
2
22. 12 42. 2
3.Does not exist 23.y=
− 1
12
x+
49
6
43.
1
6
4. 2 24.1.370 44.D
5.− 20
√
3 25.2.983 45. 132 /^3
- 16 26.
〈
8,−
1
32
〉
46.5.657
- 2 27.y= 2 x− 7 47. 76
8.
eπ−^1
πe−^1
28.
− 1
x
−x+C 48.
π
2
− 1
9.See Figure DS-2 in solution 29.ln 3 49. 14
10.II & III 30.1.503 50.y=−2 cosx
11.C 31.
1
4
ln
(
5
2
)
51.57.506
12.x<x 2 32.x^2 sinx+ 2 xcosx−2 sinx+C 52.
−ln 2
5730
- 8 33. 2 53.
81
10
14.A 34.
{
−2, 5
}
54.514.325
15.q 35. 0 55.2.415
16.y=
x
x− 1
36.A 56.
1
12
17. 2
√
2 37.
− 1
2
cos( 2 x)+
1
2
57.Converges
18.I 38.I & III 58.− 1 <x< 1
19.y=− 4 x+ 22 39. 2 π 59.
∑∞
n= 0
(− 1 )n
2 n+^1
(x− 2 )n
20. 0 40. 1 60.
∑∞
n= 0
(− 1 )n
(
x^2 n
)
n!