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A sailor records the distances D, in miles, to the visible horizon at several heights h, in feet, above the surface of a calm ocean. h = height 6 8 12 16 19 3.3 3.6 4.7 5.4 5.9 D = distance to horizon (a) Make a model of D as a power function of h. (Round regression parameters to one decimal place.) OD=3.52 x 0.82 D = 0.73 x 2.45 OD 1.96 x 40.92 ⒸD= 5.32 x 1.12 ⒸD= 1.26 x 40.52 (b) If height above sea level is increased by 10%, by what percentage is distance to the horizon increased? Round your answer to the nearest whole number. (Use the model found in part (a).) 10

A sailor records the distances D, in miles, to the visible horizon at several heights h, in feet, above the surface of a calm ocean. h = height 6 8 12 16 19 3.3 3.6 4.7 5.4 5.9 D = distance to horizon (a) Make a model of D as a power function of h. (Round regression parameters to one decimal place.) OD=3.52 x 0.82 D = 0.73 x 2.45 OD 1.96 x 40.92 ⒸD= 5.32 x 1.12 ⒸD= 1.26 x 40.52 (b) If height above sea level is increased by 10%, by what percentage is distance to the horizon increased? Round your answer to the nearest whole number. (Use the model found in part (a).) 10

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A sailor records the distances D, in miles, to the visible horizon at several heights h, in feet, above the surface of a calm ocean. h = height 6 8 12 16 19 3.3 3.6 4.7 5.4 5.9 D = distance to horizon (a) Make a model of D as a power function of h. (Round regression parameters to one decimal place.) OD=3.52 x 0.82 D = 0.73 x 2.45 OD 1.96 x 40.92 ⒸD= 5.32 x 1.12 ⒸD= 1.26 x 40.52 (b) If height above sea level is increased by 10%, by what percentage is distance to the horizon increased? Round your answer to the nearest whole number. (Use the model found in part (a).) 10 *%
Transcribed Image Text:A sailor records the distances D, in miles, to the visible horizon at several heights h, in feet, above the surface of a calm ocean. h = height 6 8 12 16 19 3.3 3.6 4.7 5.4 5.9 D = distance to horizon (a) Make a model of D as a power function of h. (Round regression parameters to one decimal place.) OD=3.52 x 0.82 D = 0.73 x 2.45 OD 1.96 x 40.92 ⒸD= 5.32 x 1.12 ⒸD= 1.26 x 40.52 (b) If height above sea level is increased by 10%, by what percentage is distance to the horizon increased? Round your answer to the nearest whole number. (Use the model found in part (a).) 10 *%
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