296
CHAPTER 2 ANSWERS TO CHAPTER TEST FORMS
CHAPTER 2, FORM E 28. 3 x2 x 4 − 3 +
1.
5
2.
Does not exist
3.
1
29.
3
6.
4
7.
No
8.
Yes
9.
−3
x4− 3
, or
31.
cos2x + ( x ++(1)xcos (2 x x)− 3) tan
(x− tna x) x 2) x2 (xsec (tan )(cos 32. 2 xsec )) ( 2
5 sin ( x x +5)
12.
34. −180 x 2
11. No
15. 16.
2
2
x ⎛ ⎞ 33. 3 − ⎜ + x+ ⎟ x 2 +5 ⎝ ⎠
14.
4
35. (a)
4 Yes
(c)
4 1
36. (a)
10
cos(3t); (b−)3sin(3t) 3 1 3 3 ; ;− 6 2 2 dP da
=0.8a − 40 −24 accidentsyr
(b) 399; (c)
17. Does not exist 18. −2x−h + 5
37. 4x2 − 16 x 4;4 x 4 − 8 x 3 + 4 x 2
7 19. y = − x + 6 2
⎡ 2 ( 4− x ) ⎤3 38. ⎢ ⎥ ⎢ 4+x ⎥ ⎣ ⎦
12
⎛ 4 , 32 ⎞ 20. (0, 0), ⎜ 3 − 27 ⎟ ⎝ ⎠ 21.
23.
7 43 x 3
f
−5
1 24. −10x + 2
26.
⎦
41. −1.1246, 9.3334), (0.6508, −2.6279) ( f ′ ' 15
33 x 2 −600 x6
)( −3⎡⎣2(4+x 4−x)⎤1 2
39. 48 40. 0
5
22.
25.
x4− 3
−2sin( 2x)
10. 1
13.
5 x6− 9x2
(2 30. cot(2 x )secx tanx − 2sec x csc2 x)
4. Does not exist 5.
2 x6
( )
3x2 sec2 x3
5
-15
14
( 2 −x)2
3x 9x −4 27. − ( −10)3 x3 − 5 x2 + 8
(
)
3 42. 5
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