Minimizing function of x


Assignment:

Let Q=(0,7) and R=(10,11) be given points in the plane. We want to find the point P=(x,0) on the x-axis such that the sum of distances PQ+PR is as small as possible.

To solve this problem, we need to minimize the following function of x. F(x)=?? over the closed interval [a,b] where a=?? and b=??

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Minimizing function of x
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