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Unformatted text preview: x = π 4 (use 8 decimal places). 1 n x n x n +1 1 2 3 Question 2. Suppose that the length of a snake at age t is given by the function L ( t ), which satisﬁes the following equation: dL dt = e. 1 t , t ≥ . (a) Find L ( t ) if the limiting length L ∞ is given by L ∞ = lim t →∞ L ( t ) = 25 (inches) . . (b) How long was the snake at age t = 0? 2 . Question 3. Evaluate the following integrals. (a) Z x ln xdx . (b) Z dx x ln x . (c) Z e 2 x cos 3 x dx 3 . (d) Z x √ 2 x1 dx . (e) Z 3 x 2 cos( x 3 ) dx . (f) Z te t 2 +1 dt 4 . (g) Z e cos x sin x dx . 5...
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 Fall '08
 DUMITRISCU
 Math, Calculus, Trigraph, Catalin Rada, Olga Vassilieva, Jason Levy, math department foyer

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