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Chapter 4: Q. 1TF (page 341)

Approximating the length of a curve: Suppose you want to

calculate the driving distance between New York City and

Dallas, Texas.

Print out a highway map of the United States, and

highlight a route, snaking along with the paths of the

major highways.

How could we use the method of 鈥渟ubdivide, approximate, and add up鈥� to approximate this driving distance?

Make an actual approximation of the driving distance

from New York City to Dallas, Texas, using the route

and method you just described.

How accurate do you think your approximation is? Is

it an over-approximation or an under-approximation?

Short Answer

Expert verified

A highway map is shown below .

Step by step solution

01

. To find 

Aprintoutofahighwaymapoftheunitedstatesandhighlightaroutetakingalongwiththepathsofthemajorhighways.

02

Step 2. Explanation 

ConsiderthedrivingdistancebetweenNewYorkCityandDallas,Texas.AhighwaymapoftheUnitedStatesisgivenbelow.ThebelowroutetakingalongwiththepathsofthemajorhighwayssuchastheroutebetweenthecitiesofNewYorkCityandDallas,Texashasbeenhighlighted.

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