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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

The contour map shows wind speed in knots during Hurricane Andrew on August 24, 1992. Use it to estimate the value of the directional derivative of the wind speed at Homestead, Florida, in the direction of the eye of the hurricane.

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To determine

To estimate: The value of the directional derivative of the wind speed function at Homestead, Florida in the direction of Hurricane.

Explanation

To obtain the value of the rate of change of wind speed at Homestead, Florida in the direction of Hurricane.

In the contour map, it is observed that the line should be drawn from the Homestead to the eye of the hurricane. The level curves in between those passage should be counted and it is 8.

From the eye of the Hurricane it is clear that the wind speed changes in the Homestead from 45 to 50knots . The countour lines are closest to the Homestead

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Chapter 14 Solutions

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