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Ernst_Maple_1_Spring_2008

Ernst_Maple_1_Spring_2008 - 0.8 1.0 1.2 g d middlesum f x =...

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(2) (3) (1) f d ln 4 x K x 2 ln 4 x K x 2 domain is 0, 4 domain is 0, 4 range is K infinity , 1.3862944 range is RealRange K N , 1.3862944 plot f , x = 0 ..4, y = K 5 ..5 x 1 2 3 4 y K 4 K 2 0 2 4 with student : rightbox f , x = 1 ..3, 10
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(4) (5) x 1.0 1.5 2.0 2.5 3.0 0.0 0.2 0.4 0.6 0.8 1.0 1.2 g d rightsum f , x = 1 ..3, 10 1 5 > i = 1 10 ln 4 C 4 5 i K 1 C 1 5 i 2 evalf g 2.587237748 with student : leftbox f , x = 1 ..3, 20
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(6) (7) x 1.0 1.5 2.0 2.5 3.0 0.0 0.2 0.4 0.6 0.8 1.0 1.2 g d leftsum f , x = 1 ..3, 20 1 10 > i = 0 19 ln 4 C 2 5 i K 1 C 1 10 i 2 evalf g 2.590563154 with student : middlebox f , x = 1 ..3, 25
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(8) (11) (9) (10) x 1.0 1.5 2.0 2.5 3.0 0.0 0.2 0.4
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Unformatted text preview: 0.8 1.0 1.2 g d middlesum f , x = 1 . .3, 25 2 25 > i = 0 24 ln 104 25 C 8 25 i K 26 25 C 2 25 i 2 evalf g 2.592029096 g1 d rightsum f , x = 1 . .3, n 2 > i = 1 n ln 4 C 8 i n K 1 C 2 i n 2 n simp d value g1 2 > i = 1 n ln 4 C 8 i n K 1 C 2 i n 2 n g2 d limit simp , n = infinity (13) (12) K 4 ln 2 K 4 C 2 ln 3 C 4 ln 6 evalf g2 2.591673732...
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