Concept explainers
(a)
Write the equation in standard form
(a)
Answer to Problem 63E
The required equation in standard form is
Explanation of Solution
Given:
The parabolic cross section of a satellite dish is modelled by a portion of the graph of the equation
where all measurements are in feet.
Consider the equation of the conic as below:
Further solve as shown below:
The transformed equation is
Further simplify the above calculations as below.
Simplify as shown below.
Thus the required equation in standard form is
(b)
Find thedistance from the vertex of the cross section to thereceiver.
(b)
Answer to Problem 63E
Thedistance from the vertex of the cross section to the receiver is
Explanation of Solution
Given:
The parabolic cross section of a satellite dish is modelled by a portion of the graph of the equation
where all measurements are in feet.
Compare
seen that
Therefore the distance from the vertex of the cross section to the receiver 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