Concept explainers
(a)
To calculate: To sketch the curve represented by the parametric equations
(a)
Explanation of Solution
Given information: Parametric equations
Calculation:
Parametric equations are given as
Calculating the values of
1 | 1 | 0 |
2 | 8 | 2.07 |
3 | 27 | 3.29 |
4 | 64 | 4.15 |
5 | 125 | 4.82 |
6 | 216 | 5.37 |
7 | 343 | 5.83 |
Graph of the function is as follows:
The arrows on the curve indicates its orientation as
Conclusion:
Hence, graph is sketched
(b)
To calculate: To write the rectangular equations for the parametric equations
(b)
Answer to Problem 27E
The rectangular equation is
Explanation of Solution
Given information: Parametric equations
Calculation:
Parametric equations are given as
From equation
Substituting
Here, domain is
Conclusion:
Hence, rectangular equation is
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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