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P20SelectedAnswers - Project 20 MAC 2311 1 Sketch the graph of the function f(x = 4 x on the interval 0 16 Shade the region between the x-axis and

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Project 20 MAC 2311 1. Sketch the graph of the function f ( x ) = 4 x on the interval [ 0 , 16 ] . Shade the region between the x -axis and the curve on the interval. Assume that the axes measure distance in hundreds of feet. Suppose the shaded region is a marsh and the rare ivory-billed woodpecker is perched on a stump in the lake at position ( 8 , 4 ) . Draw it on the graph as well. Hoping for a prize picture of the bird, you position yourself at the edge of the lake (the point on the graph) closest to the bird. What are the coordinates of this point? Show that if the bird had been at the point ( 2 , 0 ) then the origin is the closest point. How far out on the x -axis must the bird be before the origin is no longer the closest point? consider the distance from point ( a, 0 ) to a point ( x, 4 x ) on the curve some values a lead to a critical number and some do not 2. The E-Z Basket Company manufactures cylindrical frames for clothes hampers by connecting two circular hoops to four vertical support poles (one hoop at each end of the four poles). The pieces are manufactured from a single
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This note was uploaded on 04/04/2012 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.

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P20SelectedAnswers - Project 20 MAC 2311 1 Sketch the graph of the function f(x = 4 x on the interval 0 16 Shade the region between the x-axis and

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