Unformatted text preview: f ( x ) = x 3 and g ( x ) = √ x . [15 pts] 3. (a) Use Logarithmic Diﬀerentiation to ﬁnd f ( x ) when f ( x ) = x 3 / 2 e( x 2 ) 1e x [15 pts] (b) Evaluate d dx Z sin( x ) x 2 ln  t  dt [10 pts] 4. Evaluate the following: (a) Z x 2 √ x1 dx [10 pts] (b) Z 23 x +  x  dx [10 pts] (c) Z 1 1 + e x x + e x dx [10 pts] 5. Find the average height of a castle door bounded by the parabola y = 4x 2 and the xaxis. [Bonus 5 pts]...
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 Spring '08
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 Math, Algebra, Topology, pts, Continuous function

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