P22 - Project 22 MAC 2311 1. Sketch the graph of the...

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Project 22 MAC 2311 1. Sketch the graph of the function f ( x ) = x on the interval [ 0 , 6 ] . Note that 6 2 . 5 . Shade the region between the x -axis and the curve on your interval. Assume that the axes measure distance in tens of miles (thus, for example, the distance from the origin to ( 1 , 0 ) is 10 miles). Suppose the shaded region is a lake and the lakeside towns of Barsad and Cly are located at the points ( 1 , 1 ) and ( 4 , 2 ) respectively. Draw them on the graph as well. The towns agree to share the cost of building a straight road between them that is TANGENT TO the lake. Of course, this means that the road will pass each town to its north. To be fair to all citizens, the towns want to construct the road so that it has the same perpendicular distance to each town. Draw (as best as you can) the road on your graph so that each town is the same perpendicular distance from the road. What is the relationship between the slope of the road in the
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This note was uploaded on 05/27/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.

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P22 - Project 22 MAC 2311 1. Sketch the graph of the...

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