828
Answer Key
5.5 .
a. Upper sum = 8.0313. b.
5.6 . A ≈1.125 5.7 . 6 5.8 . 18 square units 5.9 . 6 5.10 . 18 5.11 . 6 ∫ 1 3
xdx − ⌠ ⌡ 1 3
3 x 2 dx +2 ∫ 1 3
x 3 dx −4 ∫
3 dx
1
5.12 . −7 5.13 . 3 5.14 . Average value = 1.5; c =3 5.15 . c = 3 5.16 . g ′( r ) = r 2 +4 5.17 . F ′( x ) =3 x 2 cos x 3 5.18 . F ′( x ) =2 x cos x 2 −cos x 5.19 . 7 24 5.20 . Kathy still wins, but by a much larger margin: James skates 24 ft in 3 sec, but Kathy skates 29.3634 ft in 3 sec. 5.21 . − 10 3
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