Runway Length There is a relation between an airplane's weight x and the runway length L required for takeoff. For some airplanes the minimum runway length L in thousands of feet is given by L(x) - 3 log x, where x is measured in thousands of pounds (a) Evaluate L(lOO) and interpret the result. (b) If the weight of an airplane increases tenfold from 10,000 to 100,000 pounds, does the length of the required runway also increase by a factor of 1 O? Explain.
Runway Length There is a relation between an airplane's weight x and the runway length L required for takeoff. For some airplanes the minimum runway length L in thousands of feet is given by L(x) - 3 log x, where x is measured in thousands of pounds (a) Evaluate L(lOO) and interpret the result. (b) If the weight of an airplane increases tenfold from 10,000 to 100,000 pounds, does the length of the required runway also increase by a factor of 1 O? Explain.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Runway Length There is a relation between an airplane's weight x and the runway length L required for takeoff. For some airplanes the minimum runway length L in thousands of feet is given by L(x) - 3 log x, where x is measured in thousands of pounds
(a) Evaluate L(lOO) and interpret the result.
(b) If the weight of an airplane increases tenfold from 10,000 to 100,000 pounds, does the length of the required runway also increase by a factor of 1 O? Explain.
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