A boat is pulled toward a dock by a rope from the bow through a ring on the dock (6 ft) above the bow. The rope is pulled in at the rate of (4 ft/sec). a). How fast is the boat approaching the dock when 11 ft of rope are out? b). At what rate is the angle changing then (see the figure)? Ring at edge of dock

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 45E: The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in...
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Q1
A boat is pulled toward a dock by a rope from the bow through a ring on
the dock (6 f) above the bow. The rope is pulled in at the rate of (4 f/sec).
a). How fast is the boat approaching the dock when 11 ft of rope are out?
b). At what rate is the angle changing then (see the figure)?
Ring at edge
of dock
Q2
Find (d y/d x)& (dy/dx)
ey cosx = x
Transcribed Image Text:Q1 A boat is pulled toward a dock by a rope from the bow through a ring on the dock (6 f) above the bow. The rope is pulled in at the rate of (4 f/sec). a). How fast is the boat approaching the dock when 11 ft of rope are out? b). At what rate is the angle changing then (see the figure)? Ring at edge of dock Q2 Find (d y/d x)& (dy/dx) ey cosx = x
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