(a)
To sketch: the curve represented by the parametric equation
(a)
Answer to Problem 24E
The curve is sketched for the curve
Explanation of Solution
Given:
Calculation:
For every values of
If
And
So, the point corresponding to
The points
T | X | y |
0 | 1 | 0 |
0 | 1 | |
-1 | 0 | |
0 | -1 | |
1 | 0 |
Plotting these points we get the following graph of the curve.
Conclusion:
Therefore, the curve is sketched for the equation
(b)
To find: The rectangular −coordinate equation for the curve
(b)
Answer to Problem 24E
The given curve has the rectangular coordinate equation is
Explanation of Solution
Given:
Calculation:
Use the
And
Substituting the values of
Thus ,
Therefore, the given curve has the rectangular coordinate equation
Conclusion:
Therefore, the given curve has the rectangular coordinate equation is
Chapter 8 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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