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| PAGE: 718 | SET: Exercises | PROBLEM: 1 |
The parametric equations are 
and 
.
(a) Construct a table for 
and 
.
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(b)
Graph:
(1) Draw the coordinate plane.
(2) Plot the 
points obtained in the table.
(3) Connect the point using a smooth curve.
(c) Graph:
Graph the parametric equations 
and 
.
(d) Find the rectangular equation.
Consider .
Squaring on both sides.
Substitute 
in .
.
The rectangular equation is 
.
Graph the function is
Observe the graph:
Both the graphs seems to be similar on the interval 
.
(a)
Table:
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(b)
Graph of the parametric equations and connecting points obtained in the table is
.
(c)
Graph of the parametric equations and using graphing utility is
.
(d) The rectangular equation is .
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