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the object. A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the size Suppose a person has a windpipe with a 20-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 (201²-r³), 0≤r≤ 20 An object that has a radius of (Type an integer or a simplified fraction.) CELLE will need maximum velocity to remove it.

the object. A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the size Suppose a person has a windpipe with a 20-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 (201²-r³), 0≤r≤ 20 An object that has a radius of (Type an integer or a simplified fraction.) CELLE will need maximum velocity to remove it.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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 20-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 (201² -³), 0≤r≤ 20 An object that has a radius of (Type an integer or a simplified fraction.) HE will need maximum velocity to remove it.
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 20-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 (201² -³), 0≤r≤ 20 An object that has a radius of (Type an integer or a simplified fraction.) HE will need maximum velocity to remove it.
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