Unformatted text preview: π cm 3 of liquid. Find the dimension of the can with smallest surface area. 4. Find T 3 ( x ) (the Taylor polynomial of degree 3) for the function f at the number a . (a) f ( x ) = 1 x , a = 2 (b) f ( x ) = x + ex , a = 0 5. Diﬀerentiate the following functions. (a) y = sin( e x ) + e sin x (b) y = cos ± 1e 2 x 1 + e 2 x ! (c) y = ln( x + √ x 21) (d) y = 2 3 x 2 (e) y = log 5 (13 e x ) 6. Find the absolute minimum value of the function f ( x ) = e x x on (0 , ∞ ). 7. Use deﬁnition to ﬁnd the area under the graph of f ( x ) = x 2 + x and above the xaxis on the interval [0 , 2]. 1...
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 Fall '10
 AmirAkbary
 Math, Calculus, Complex number, smallest surface area

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