Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest to A and B are 6 km apart. Where should a station be located to minimize the length of the new road from A to S to B? (grade 12 calculus, use derivatives)

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A: Explanation: Plot the points A and B on the graph. Then draw a horizontal line from A and Vertical…

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A:

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A:

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A: Given that: d varies inversely with the square of z.When k=2, z=10