M408C - HW 12 - f ( x ) = x 2 e x on [0 , 3]. a)...

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P ROBLEMS H W 12 7.5 P AGE 483 1, 3, 7, 59, 61, 62, 65 7.6 P AGE 491 1, 2, 5a, 7, 9, 13, 15, 57, 58 8.1 P AGE 516 1, 3, 7, 11, 13, 21, 33, 41 Exam 3 Thursday Nov 17 Covers: §§5.4, 5.5, 6.1, 6.2, 7.2, 7.3, 7.4, 7.6 Exam 3 am Calculators OK 75 minutes 1)(25 points) Let f ( x ) = ln( x ) /x . a) Find the domain and intercepts b) Find all asymptotes c) Diferentiate and simpli±y. 2)(35 points) Let
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Unformatted text preview: f ( x ) = x 2 e x on [0 , 3]. a) Diferentiate and Simpliy b) Find all critical points c) Use the rst derivative test to nd all local extremes. d) Find all absolute extremes. 3)(40 points) Integrate: a ) 1 x e x 2 dx b ) e x ( e x e x ) dx c ) e 1 1 x ln x dx d ) sec 2 x tan 2 x dx...
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