Concept explainers
To calculate: The equation that represent the shape of room.
Answer to Problem 53E
The equation that represent the shape of room is
Explanation of Solution
Given information:
The dimensions of the Hall are 46 feet wide by 97 feet long.
Formula used:
The equation of ellipse whose major axis is x -axis is
Calculation:
Consider the provided information that dimensions of the Hall are 46 feet wide by 97 feet long.
Observe that it is in shape of ellipse whose major axis is x -axis.
Recall that the equation of ellipse whose major axis is x -axis is
Here center is origin so
Next the length of minor axis 46, therefore,
Substitute a as 48.5, b as 23, h as 0 and k as 0 in the equation
Thus, the equation that represent the shape of room is
To calculate: The distance between the foci.
Answer to Problem 53E
The distance between the foci is
Explanation of Solution
Given information:
The cross section of a sculpture is provided below,
Given information:
The dimensions of the Hall are 46 feet wide by 97 feet long.
Formula used:
The equation of ellipse whose major axis is x -axis is
Calculation:
Consider the provided information that dimensions of the Hall are 46 feet wide by 97 feet long.
Observe that it is in shape of ellipse whose major axis is x -axis.
Recall that the equation of ellipse whose major axis is x -axis is
Here center is origin so
Next the length of minor axis 46, therefore,
Use the relation
And the distance between the foci is
Therefore,
Thus, the distance between the foci is
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