A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the size of the object Suppose a person has a windpipe with a 25-mm radius. If a foreign object has a radius r, in millimeters, then the velocity V, in millimeters/second, needed to remove the object by a cough is given by the following equation, where k is some positive constant For what size object is the maximum velocity needed to remove the object? V(1) = k (25r2 - r°). osrs25 An object that has a radius of V will need maximum velocity to remove it. (Type an integer or a simplified fraction.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the size of the object Suppose a person has a windpipe with a
25-mm radius. If a foreign object has a radius r, in millimeters, then the velocity V, in millimeters/second, needed to remove the object by a cough is given by the
following equation, where k is some positive constant. For what size object is the maximum velocity needed to remove the object?
V(r) = k
(252 -r), 0srs 25
An object that has a radius of
V will need maximum velocity to remove it.
(Type an integer or a simplified fraction.)
Transcribed Image Text:A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the size of the object Suppose a person has a windpipe with a 25-mm radius. If a foreign object has a radius r, in millimeters, then the velocity V, in millimeters/second, needed to remove the object by a cough is given by the following equation, where k is some positive constant. For what size object is the maximum velocity needed to remove the object? V(r) = k (252 -r), 0srs 25 An object that has a radius of V will need maximum velocity to remove it. (Type an integer or a simplified fraction.)
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