# P27 - Project 27 MAC 2311 YOU MUST SHOW YOUR WORK TO...

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Project 27 MAC 2311 YOU MUST SHOW YOUR WORK TO RECEIVE FULL CREDIT!! 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 your interval. Assume that the axes measure distance in hundreds of feet. Suppose the shaded region is a marsh and the elusive 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 this supposedly extinct bird, you quickly calcu- late the position at the edge of the lake (the point on the graph) closest to the bird. What are the coordinates of this point? To get started, you must know the generic coordinates of a point on the graph, and note that you are ﬁnding the SHORTEST possible DISTANCE between your point and the bird. What is this shortest distance? (Round to the nearest foot if needed.)

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Bonus: Show that if the bird had been at the point (2 , 0) then the origin is the closest point. How far out on the
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## This note was uploaded on 01/13/2010 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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P27 - Project 27 MAC 2311 YOU MUST SHOW YOUR WORK TO...

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