Earthquake Movement. The horizontal movement of a point that is k kilometers away from an earthquake's 2arctan d fault line can be estimated with where M is the movement of the point in meters, f M=: is the total horizontal displacement occurring along the fault line, k is the distance of the point from the fault line, and d is the depth in kilometers of the focal point of the earthquake. If an earthquake produces a displacement f of 15 meters and the depth of the focal point is 4.5 kilometers, what is the movement M of a point that is 3.5 kilometers from the fault line?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Earthquake Movement. The horizontal movement of a point that is k kilometers away from an earthquake's
2arctan
fault line can be estimated with
where M is the movement of the point in meters, f
M=
2
is the total horizontal displacement occurring along the fault line, k is the distance of the point from the fault
line, and d is the depth in kilometers of the focal point of the earthquake. If an earthquake produces a
displacement f of 15 meters and the depth of the focal point is 4.5 kilometers, what is the movement M of a
point that is 3.5 kilometers from the fault line?
Transcribed Image Text:Earthquake Movement. The horizontal movement of a point that is k kilometers away from an earthquake's 2arctan fault line can be estimated with where M is the movement of the point in meters, f M= 2 is the total horizontal displacement occurring along the fault line, k is the distance of the point from the fault line, and d is the depth in kilometers of the focal point of the earthquake. If an earthquake produces a displacement f of 15 meters and the depth of the focal point is 4.5 kilometers, what is the movement M of a point that is 3.5 kilometers from the fault line?
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