Concept explainers
a.
To find:The equation of the cross section of the base.
a.
Answer to Problem 48E
The equation of the cross section of the base of the pendulum is
Explanation of Solution
Given information:
The given base of the pendulum of the clock is shown in figure (1).
Figure (1)
Calculation:
The curved part of base of the pendulum is having the shape of a hyperbola.
From the figure (1), the vertices of the hyperbola are
And the transverse axis is horizontal, and the hyperbola passes through
The equation of the hyperbola in the given as.
The center of the hyperbola is given by the midpoint of the line segment joining the vertices.
Calculate the midpoint between the
The center is at
Calculate the value of
The hyperbola passes through the point
Substitute value of
Calculate the standard form of the hyperbola.
Therefore, the equation of the cross section of the base of the pendulumis
b.
To find: The width of the base of the pendulum
b.
Answer to Problem 48E
The width of the base of the pendulum
Explanation of Solution
Given information:
Each unit is equal to
The given base of the pendulum of the clock is shown in figure (1).
Figure (1)
Calculation:
Let
Calculate the
The sculpture is symmetric about
Therefore, the width of the base of the pendulum
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning