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 D = distance to horizon 3.3 3.6 4.7 5.4 5.9 (a) Make a model of D as a power function of h. (Round regression parameters to one decimal place.) OD=3.52 x 40.82 OD=0.73 x 2.45 OD 1.96 x 0.92 OD=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).) %

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
D = distance to horizon
3.3 3.6 4.7 5.4 5.9
(a) Make a model of D as a power function of h. (Round regression parameters to one decimal place.)
OD=3.52 x 40.82
OD=0.73 x 2.45
OD 1.96 x 0.92
OD=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).)
%
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 D = distance to horizon 3.3 3.6 4.7 5.4 5.9 (a) Make a model of D as a power function of h. (Round regression parameters to one decimal place.) OD=3.52 x 40.82 OD=0.73 x 2.45 OD 1.96 x 0.92 OD=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).) %
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