For a 4 mile by 4 mile grid, how many signs must be placed to ensure...

For a 4 mile by 4 mile grid, how many signs must be placed to ensure that the farthest distance between two signs is LaTeX: \sqrt[]{2} 2 miles?

Expert Solution

A 4 mile by 4 mile grid is shown in figure below: Let A and B be two points at a distance miles, then if x be the number of horizontal grids and y be the number of vertical grids, then the total number of grids between A and B is

So, the distance between the two grids A and B is:

Differentiating (i) with respect to x, we get

Therefore,

Therefore, the maximum number of signs that can be place (Excluding A and B) = 3

milcah answered 2 years ago

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Question

For a 4 mile by 4 mile grid, how many signs must be placed to ensure...

Solutions

Expert Solution

Related Solutions

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