A lighthouse is 8 miles off a straight coast and a town is located 18 miles down the seacoast.Supplies are to be moved from the town to the lighthouse on a regular basis and at a minimumtime. If the supplies can be moved at the rate of 7 miles per hour on water and 25 milesper hour over land, how far from the town should a dock be constructed for shipment ofsupplies?

We roughly sketch the situation T=town , L= lighthouse, C= coast Let us have to construct the dock…

Answered: A lighthouse is 8 miles off a straight…

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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The Greenville Public Library just received a grant to renovate their children's reading room. Before any work begins, the librarians need to pack all of their picture books into cardboard boxes to keep them safe. They estimate that each book weighs an average of 12 ounces. To make sure the boxes are not too heavy, they only plan to put 15 pounds of books in each box. If the library has 1,200 picture books, how many boxes do the librarians expect to need? Hint: There are 16 ounces in 1 pound.
It's true — sand dunes in Colorado rival sand dunes of the Great Sahara Desert! The highest dunes at Great Sand Dunes National Monument can exceed the highest dunes in the Great Sahara, extending over 700 feet in height. However, like all sand dunes, they tend to move around in the wind. This can cause a bit of trouble for temporary structures located near the "escaping" dunes. Roads, parking lots, campgrounds, small buildings, trees, and other vegetation are destroyed when a sand dune moves in and takes over. Such dunes are called "escape dunes" in the sense that they move out of the main body of sand dunes and, by the force of nature (prevailing winds), take over whatever space they choose to occupy. In most cases, dune movement does not occur quickly. An escape dune can take years to relocate itself. Just how fast does an escape dune move? Let x be a random variable representing movement (in feet per year) of such sand dunes (measured from the crest of the dune). Let us assume that…
It's true — sand dunes in Colorado rival sand dunes of the Great Sahara Desert! The highest dunes at Great Sand Dunes National Monument can exceed the highest dunes in the Great Sahara, extending over 700 feet in height. However, like all sand dunes, they tend to move around in the wind. This can cause a bit of trouble for temporary structures located near the "escaping" dunes. Roads, parking lots, campgrounds, small buildings, trees, and other vegetation are destroyed when a sand dune moves in and takes over. Such dunes are called "escape dunes" in the sense that they move out of the main body of sand dunes and, by the force of nature (prevailing winds), take over whatever space they choose to occupy. In most cases, dune movement does not occur quickly. An escape dune can take years to relocate itself. Just how fast does an escape dune move? Let x be a random variable representing movement (in feet per year) of such sand dunes (measured from the crest of the dune). Let us assume that…
A rectangular lidless bin must hold 10 m3 of garbage. Its base is twice as long as it is wide. The metal used for the base costs $5 per square meter, whereas metal for the sides costs $3 per square meter. Find the lowest cost for a bin which meets these specifications. (Round your answer to the nearest cent.)

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