Concept explainers
Identify curves variation when
Answer to Problem 45E
As
Explanation of Solution
Given information:
The curves with equations
Calculation:
Put down the equations to the Lissajous figures.
Put different values for
Put the values
Now graph these equations.
We observed that, for
And also observed that the curves are within the rectangle
Hence, it can be said that, the number of loops in the curve increases as
Put the values
Now graph these equation.
We observed that, each curve has two loops as the value of
Hence, the curves are within the rectangle
Put the values
Now graph these equations.
We observed that, each curve has two loops as the value of
the curves are within the rectangle
From the above discussion the following conclusions can be made.
The number of loops in the curve increases as the value of
The horizontal length of the curve increases as the value of
The vertical length of the curve increases as the value of
Hence, as
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- 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