(a)
To find: The parameterization to model the motion of a particle that starts at
(a)
Answer to Problem 36E
The possible parameterization is
Explanation of Solution
Given information: The particle starts moving from
Calculation:
The standard parameterization for an ellipse with horizontal semi-axis
As this will cause to move the particle in counterclockwise so set
Substitute
Substitute
The particle will complete one cycle in an interval of
Therefore, the possible parameterization is
(b)
To find: The parameterization to model the motion of a particle that starts at
(b)
Answer to Problem 36E
The possible parameterization is
Explanation of Solution
Given information: The particle starts moving from
Calculation:
The standard parameterization for an ellipse with horizontal semi-axis
Substitute
The particle will complete one cycle in an interval of
Therefore, the possible parameterization is
(c)
To find: The parameterization to model the motion of a particle that starts at
(c)
Answer to Problem 36E
The possible parameterization is
Explanation of Solution
Given information: The particle starts moving from
Calculation:
The standard parameterization for an ellipse with horizontal semi-axis
As this will cause to move the particle in counterclockwise so set
Substitute
Substitute
The particle will complete two cycle in an interval of
Therefore, the possible parameterization is
(d)
To find: The parameterization to model the motion of a particle that starts at
(d)
Answer to Problem 36E
The possible parameterization is
Explanation of Solution
Given information: The particle starts moving from
Calculation:
The standard parameterization for an ellipse with horizontal semi-axis
Substitute
The particle will complete one cycle in an interval of
Therefore, the possible parameterization is
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Precalculus (10th Edition)
Precalculus
Calculus: Early Transcendentals (2nd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
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