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# handout_10_28 - e x 3-x on-1 0 2 What is the maximum area...

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Math 1a: Maxima and minima October 28, 2009 1. Find the global maxima and minima of the following functions on the given intervals. Remember that global maxima and minima are among endpoints of the interval, points where f is not diﬀerentiable, points where f is diﬀerentiable and f 0 is zero. a. f ( x ) = 10 x 3 - 17 x 2 + 8 x on [0 , 1] b. g ( x ) = | x | 3 on [ - 2 , 2] c. h ( x ) = ( x + 3 if x < 0 x 2 - x if x 0 on [ - 1 , 2] d. i ( x ) = x - 2 cos( x ) on [ - 2 , 0] 1

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e. j ( x ) = p x (1 - x ) on [0 , 1] f. k ( x ) = x 3 - 4 x 2 + 4 x + 2 on [0 , 3] g. l ( x ) =
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Unformatted text preview: e x 3-x on [-1 , 0] 2. What is the maximum area of a rectangular farm that can be enclosed by 20 meters of barbed wire? (Aside: how does your answer compare with the area enclosed by a circular farm enclosed by the same wire?) 3. If the product of two numbers in [1,100] is 100, what is the maximum that their sum can be? What about the minimum? 2...
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handout_10_28 - e x 3-x on-1 0 2 What is the maximum area...

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