a.
To graph: the curve and find the initial and terminal points. Also, indicate the direction in which the curve is traced.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 10E
Initial point
Explanation of Solution
Given information:
The parametric equations:
Use the graphing calculator to graph the given curve.
First step is to set the mode to parametric.
For that press the MODE key.
Then Scroll down to FUNC.
Then move it to right till PAR
Press ENTER key.
Now, go back to main window by quitting (to do that press and then
).
Now, press the key
Now enter the given parametric equations as shown below:
Press the WINDOW key.
Enter values (Tmin = 0, Tmax =
Press GRAPH (here observe the direction in which the graph is being traced.)
This is the required graph and the red arrow gives the direction in which it is traced.
From the graph, it can be clearly observed that the graph starts at
b.
To find: Cartesian equation for the curve that contains the parameterized curve. Also explain what portion of the Cartesian equation is traced by the parameterized curve.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 10E
Whole of the graph of the Cartesian equation is traced by the parameterized curve.
Explanation of Solution
Given information:
The parametric equations:
Formula Used:
Squaring
Substitute these values in the identity
Thus, the required Cartesian equation is
The Cartesian equation
Chapter 0 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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