a.
To create a table of
a.
Answer to Problem 9E
Explanation of Solution
Given: The parametric equations
Calculation:
When
When
When
When
When
So, the table becomes as shown below.
b.
To plot the points
b.
Explanation of Solution
Given: The parametric equations
Plot:
From part (a), the table is given below.
The points become
Now, plot these points on the coordinate axes as shown below.
Now, join the points to graph the parametric equations.
The curve is moving towards negative infinity as the value of x increases.
c.
To graph the parametric equations by using graphing utility.
c.
Explanation of Solution
Given: The parametric equations
Graph:
The graph of the parametric equations using graphing utility can be given as shown below.
The curve is moving towards negative infinity as the value of x increases.
d.
To find the rectangular equation by eliminating the parameter
d.
Answer to Problem 9E
Explanation of Solution
Given: The parametric equations
Calculation:
Then,
So, the rectangular equation for the given parametric equations is
The graph of this equation can be given as shown below.
The curve is moving towards negative infinity as the value of x increases.
The graph is same as obtained in part (b) and (c).
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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