A ship is moving at a speed of 30 km/h parallel to a straight shoreline. The ship is 4 km from shore and it passes a lighthouse at noc noon. (a) Express the distance s between the lighthouse and the ship as a function of d, the distance the ship has traveled since noon. s = f(d) = (b) Express d as a function of t, the time elapsed since noon. d = g(t) = √²+16 x (c) Find fo g. (fog)(t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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A ship is moving at a speed of 30 km/h parallel to a straight shoreline. The ship is 4 km from shore and it passes a lighthouse at noon.
(a) Express the distance s between the lighthouse and the ship as a function of d, the distance the ship has traveled since noon.
S = f(d) =
(b) Express d as a function of t, the time elapsed since noon.
d = g(t) = √² + 16 X
(c) Find fo g.
(fog)(t) =
Transcribed Image Text:A ship is moving at a speed of 30 km/h parallel to a straight shoreline. The ship is 4 km from shore and it passes a lighthouse at noon. (a) Express the distance s between the lighthouse and the ship as a function of d, the distance the ship has traveled since noon. S = f(d) = (b) Express d as a function of t, the time elapsed since noon. d = g(t) = √² + 16 X (c) Find fo g. (fog)(t) =
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