3. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 8 m from the dock? 4. An earth satellite moves in a path that can be described by

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.10: Problems Without Solutions
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3. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through
a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a
rate of 1 m/s, how fast is the boat approaching the dock when it is 8 m from the dock?
4. An earth satellite moves in a path that can be described by
x2
y?
1
72.5
71.5
where x and y are in thousands of kilometres. If dx/dt = 12900 km/h for x = 3200 km and
y > 0, find dy/dt.
Transcribed Image Text:3. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 8 m from the dock? 4. An earth satellite moves in a path that can be described by x2 y? 1 72.5 71.5 where x and y are in thousands of kilometres. If dx/dt = 12900 km/h for x = 3200 km and y > 0, find dy/dt.
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