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Unformatted text preview: point on the graph, to the point where the bird is perched. generic point on graph is ( x, 4 √ x ) minimum distance when x = 4 (the point (4 , 8) ) 3. Recall the following problem from the text: A company wishes to run cable from an island 6 miles from shore to a power station 10 miles from point P on the shore directly across from the island; Suppose the cost of laying the cable on land is $ 2000 per mile, and the cost of laying the cable underwater is $ 3000 per mile. Suppose the company decides to run the cable from the island to the point A (between the station and point P ), and then from point A to the station. a) As before, write a formula for the function C ( x ) , representing the total cost of laying out the cable. What is its domain? C ( x ) = 2000(10-x ) + 3000 √ x 2 + 36 domain [0 , 10] b) Show that x = 12 √ 5 will result in the minimum total cost of laying out the cable....
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- Spring '08
- Calculus, axes measure distance