A returning boomerang is a V-shaped throwing device made from two wings that are set at a slight tilt and that have an airfoil design. One side is rounded and the other side is flat, similar to an airplane propeller. When thrown properly, a boomerang follows a circular flight path and should theoretically return close to the point of release. The boomerang pictured is approximately in the shape of one branch of a hyperbola (although the two wings are in slightly different planes). To construct the hyperbola, an engineer needs to know the location of the foci. Determine the location of the focus to the right of the center if the vertex is 7.5 in. from the center and the equations of the asymptotes are y = +-x. Round the coordinates to the nearest tenth of an inch. 7.5 in.
A returning boomerang is a V-shaped throwing device made from two wings that are set at a slight tilt and that have an airfoil design. One side is rounded and the other side is flat, similar to an airplane propeller. When thrown properly, a boomerang follows a circular flight path and should theoretically return close to the point of release. The boomerang pictured is approximately in the shape of one branch of a hyperbola (although the two wings are in slightly different planes). To construct the hyperbola, an engineer needs to know the location of the foci. Determine the location of the focus to the right of the center if the vertex is 7.5 in. from the center and the equations of the asymptotes are y = +-x. Round the coordinates to the nearest tenth of an inch. 7.5 in.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A returning boomerang is a V-shaped throwing device made from two wings that are set at a slight tilt and that have an
airfoil design. One side is rounded and the other side is flat, similar to an airplane propeller. When thrown properly, a
boomerang follows a circular flight path and should theoretically return close to the point of release.
The boomerang pictured is approximately in the shape of one branch of a hyperbola (although the two wings are in
slightly different planes). To construct the hyperbola, an engineer needs to know the location of the foci. Determine the
location of the focus to the right of the center if the vertex is 7.5 in. from the center and the equations of the asymptotes
are y = +-x. Round the coordinates to the nearest tenth of an inch.
7.5 in.
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