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Unformatted text preview: x 2 + xy + y 2 = 3 at the point (1 , 1). 7 Scratch 8 4. Find d dx (sec1 x ) Give your answer in terms of x , only. 9 Scratch 10 5. Let f ( x ) = 1 / (2x ) . Find f (100) (1) . 11 Scratch 12 6. Find the absolute maximum and absolute minimum of f ( x ) = 2 cos x + sin 2 x on [0 ,π/ 2] . 13 Scratch 14 7. Find the number c that satisﬁes the conclusion of the Mean Value Theorem for f ( x ) = e2 x , [0 , 3] 15 Scratch 16 8. For what values of the numbers a and b does the function f ( x ) = axe bx 2 have the maximum value f (2) = 1? 17 Scratch 18 9. A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 30 ft, ﬁnd the dimensions of the window so that the greatest possible amount of light is admitted. 19...
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 Winter '08
 Shu
 Math, Calculus, Problem Score

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