Fundamentals of Statistics (5th Edition)
Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.1, Problem 30AYU
To determine

To find: The equation of the line L.

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Figure 4.5.5 shows an offshore oil well located at a point W that is 5 km fromthe closest point A on a straight shoreline. Oil is to be piped from W to ashore point B that is 8 km from A by piping it on a straight line under waterfrom W to some shore point P between A and B and then on to B via pipealong the shoreline. If the cost of laying pipe is $1,000,000/km under waterand $500,000/km over land, where should the point P be located to minimizethe cost of laying the pipe ?
Find a general form of an equation of the line through the point A that satisfies the given condition.
As a result of urbanization, the temperatures in Paris have increased. In 1891 the average daily minimum and maximum temperatures were 5.8°C and 15.1°C, respectively. Between 1891 and 1968, these average temperatures rose 0.019°C/yr and 0.011°C/yr, respectively. Assuming the increases were linear, find the year when the difference between the minimum and maximum temperatures was 9C, and determine the corresponding average maximum temperature.
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Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY