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 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
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.

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

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

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

heradog
 one year ago
Best ResponseYou've already chosen the best response.0I 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)

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

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

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

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