9 FURTHER APPLICATIONS OF INTEGRATION
9 FURTHER APPLICATIONS OF INTEGRATION
9 FURTHER APPLICATIONS OF INTEGRATION
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GROUP WORK 2, SECTION 9.1<br />
Cable Guy<br />
Billionaire businessman Bill Turner (the president of MacroHard) lives on a small island in the middle of<br />
Lake Wobegone. What follows is a topographical map of the region.<br />
Lake Wobegone<br />
Bill Turner’s<br />
House<br />
Cable Box<br />
10<br />
20<br />
30<br />
40<br />
50<br />
60<br />
50<br />
40<br />
30<br />
20<br />
10<br />
Cable Source<br />
1. As the Cable Guy, your job is to wire up Mr. Turner’s home for cable television. There is a cable box on<br />
the shore, as indicated. The cable will be unwound on the bottom of the lake, from the shore to the island.<br />
Draw a path that will minimize the amount of cable necessary to use. Don’t worry about being 100% sure,<br />
make a guess and go with it.<br />
2. Given that 1 4<br />
inch on this map represents 100 feet, what is the amount of cable needed to connect Mr.<br />
Turner’s house using your path?<br />
491
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