Concept explainers
To determine: The correct option for the parameterizations of the unit circle will be traversed clockwise.
(A)
(B)
(C)
(D)
(E)
Answer to Problem 47E
The correct option is (B).
Explanation of Solution
Calculation:
The parametric equations of a unit circle is
Now, for different values of t in different quadrants we get the following results as:
x moves 0 to 1 and y moves 1 to 0 in the interval
x moves 1 to 0 and y moves 0 to
x moves 0 to
x moves
It is seen that the circle will traverse clockwise in this fashion.
Hence, the correct option is (B).
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic
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