A point P needs to be located somewhere on the line AD so that the total length L of cables linking P to the points A, B, and C is minimized (see the figure). Estimate the minimum value of L to two decimals. P 5 m 2 m 3 m В D First, give the function to be minimized, using the variable x. L(x) Then use your calculator or other software to estimate the minimum value of L to two decimal places. Do not attempt to solve the derivative=0 by hand. m

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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A point P needs to be located somewhere on the line AD so that the total length L of cables linking P to the
points A, B, and C is minimized (see the figure). Estimate the minimum value of L to two decimals.
A
P
5 m
2 m
3 m
В
D
First, give the function to be minimized, using the variable x.
L(x)
Then use your calculator or other software to estimate the minimum value of L to two decimal places.
Do not attempt to solve the derivative=0 by hand.
m
Transcribed Image Text:A point P needs to be located somewhere on the line AD so that the total length L of cables linking P to the points A, B, and C is minimized (see the figure). Estimate the minimum value of L to two decimals. A P 5 m 2 m 3 m В D First, give the function to be minimized, using the variable x. L(x) Then use your calculator or other software to estimate the minimum value of L to two decimal places. Do not attempt to solve the derivative=0 by hand. m
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