(a)
To find: The parameterization to model the motion of a particle with initial point
(a)
Answer to Problem 35E
The possible parameterization is
Explanation of Solution
Given information: The particle starts motion from
Calculation:
The standard parameterization for a circle with radius
Substitute
As it is given that the particle start at
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 35E
The possible parameterization is
Explanation of Solution
Given information: The particle starts at
Calculation:
The standard parameterization for a circle with radius
As it is given that the particle start at
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 35E
The possible parameterization is
Explanation of Solution
Given information: The particle starts at
Calculation:
The standard parameterization for a circle with radius
Substitute
As it is given that the particle start at
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 35E
The possible parameterization is
Explanation of Solution
Given information: The particle starts at
Calculation:
The standard parameterization for a circle with radius
As it is given that the particle start at
The particle will complete two cycle in an interval of
Therefore, the possible parameterization is
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic
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