|4m – 1| S3 |10m – 3| m2 + 1 |5m – 6| m² + 1 m² + 1 y 8 (5, 6) y = mx 6 4 2 (10, 3) •(4, 1) + + ►x 4 8 10 2.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider a fuel distribution center located at the origin of the rectangular coordinate system (units in miles; see figures). The center supplies three factories with coordinates (4, 1), (5, 6), and (10, 3). A trunk line will run from the distribution center along the line y = mx, and feeder lines will run to the three factories. The objective is to find m such that the lengths of the feeder lines are minimized. Minimize the sum of the lengths of the perpendicular feeder lines from the trunk line to the factories given by as attached. Find the equation of the trunk line by this method and then determine the sum of the lengths of the feeder lines.

|4m – 1|
S3
|10m – 3|
m2 + 1
|5m – 6|
m² + 1
m² + 1
Transcribed Image Text:|4m – 1| S3 |10m – 3| m2 + 1 |5m – 6| m² + 1 m² + 1
y
8
(5, 6)
y = mx
6
4
2
(10, 3)
•(4, 1)
+
+
►x
4
8
10
2.
Transcribed Image Text:y 8 (5, 6) y = mx 6 4 2 (10, 3) •(4, 1) + + ►x 4 8 10 2.
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