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Let Q = (0,4) and R= (12,8) be given points in the plane. We want to find the point P=(x,0) on the xaxis such that the sum of distances PQ+PR is as small as possible. (Before proceeding with this problem, draw a picture!)
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=.
We find that f(x) has only one critical point in the interval at x=
where f(x) has value
Since this is smaller than the values of f(x) at the two endpoints, we conclude that this is the minimal sum of distances.
 one year ago
 one year ago
Let Q = (0,4) and R= (12,8) be given points in the plane. We want to find the point P=(x,0) on the xaxis such that the sum of distances PQ+PR is as small as possible. (Before proceeding with this problem, draw a picture!) 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=. We find that f(x) has only one critical point in the interval at x= where f(x) has value Since this is smaller than the values of f(x) at the two endpoints, we conclude that this is the minimal sum of distances.
 one year ago
 one year ago

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hartnnBest ResponseYou've already chosen the best response.1
have you tried this ? do you know distance formula to get PQ and PR ?
 one year ago

yolololBest ResponseYou've already chosen the best response.0
YOU'RE NOT EVEN GOKU HOW DARE YOU USE HIS PICTURE HE WAS MY ONLY FRIEND AS A CHILD
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
since this is not related to question, please continue in private messages/chat...
 one year ago

heradogBest ResponseYou've already chosen the best response.0
I found where a similar problem was worked, but didn't quite understand what their numbers meant PQ = √[(x0)2 + (06)2] = √(x2 + 36) PR = √[(x6)2 + (07)2] = √(x2  12x + 85) f(x) = √(x2 + 36) + √(x2  12x + 85)
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
Distance between points (x1,y1) and (x2,y2) is \(\huge d=\sqrt{(x_1x_2)^2+(y_1y_2)^2}\) does this help ??
 one year ago

heradogBest ResponseYou've already chosen the best response.0
It does, so I have everything figured out except how you find what b=
 one year ago

heradogBest ResponseYou've already chosen the best response.0
never mind I got it Thanks for the help!
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
good :) ask if any further doubts...
 one year ago
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