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6 Nov 2019
Let Q = (0, 3) and R = (7, 10) 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. (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 number 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. Show transcribed image text
Let Q = (0, 3) and R = (7, 10) 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. (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 number 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.
Show transcribed image text Jean KeelingLv2
10 Oct 2019