(a)
To plot: The graph of the parametric equations, the initial and terminal points. Also, indicate the direction in which the curve is traced.
(a)
Answer to Problem 9E
The graph of the parametric equations with the direction is shown in figure (1), the initial point is
Explanation of Solution
Given information: The equations are
Calculation:
Use the following step to graph the parametric equations by graphing calculator.
Step 1: First press the “ON” button graphical calculator.
Step 2: Press the
Step 2: Press
Step 3: Press
Figure (1)
As
So, the initial point is
Therefore, the graph of the parametric equations with the direction is shown in figure (1), the initial point is
(b)
To find: The Cartesian equation and the portion of the graph of the Cartesian equation that is traced by the parameterized curve.
(b)
Answer to Problem 9E
The Cartesian equation is
Explanation of Solution
Given information: The equations are
Calculation:
Square both the given equations and add them.
The above equation is form of a circle. From the graph shown in part (a), it can be seen that the parameterized curve traces the upper half of the circle.
Therefore, the Cartesian equation is
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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