The equation S(d) = 96log(d) + 72 relates the speed of the wind, S, in miles per hour near the center of a tornado to the distance that the tornado travels, d, in miles.   Find the rate at which the speed of the wind is increasing when the tornado has traveled 145 miles. Round your answer to four decimal places.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 8.174TI: The distance a moving body travels, d, varies directly with time, t, it moves. A train travels 100...
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The equation S(d) = 96log(d) + 72 relates the speed of the wind, S, in miles per hour near the center of a tornado to the distance that the tornado travels, d, in miles.   Find the rate at which the speed of the wind is increasing when the tornado has traveled 145 miles.

Round your answer to four decimal places.

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