# Minimizing F(x)

Not what you're looking for? Search our solutions OR ask your own Custom question.

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=??

https://brainmass.com/math/functional-analysis/minimizing-f-x-21082

#### Solution Preview

Distance between two points is sqrt[(x1-x2)^2+(y1-y2)^2]

<br>PQ = sqrt[(x-0)^2+(0-7)^2] = sqrt(x^2+49)

<br>PR = ...

$2.49