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Concept explainers
(a)
To draw: Thegraph of equations
(a)
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Explanation of Solution
Given information:The given parametric equations are
Graph:
To draw the graph of parametric equations
Step 1: Press “ON” button on graphical calculator and press
Step 2: For
Similarly, enter the equations for different values of
Step 3: Press
Figure (1)
Interpretation: From the graph it can be observed that graph is a circle of radius 2 with center
(b)
To draw: The graph of equations
(b)
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Explanation of Solution
Given information:The given parametric equations are
Graph:
To draw the graph of parametric equations
Step 1: Press “ON” button on graphical calculator and press
Step 2: For
Similarly, enter the equations for different values of
Step 3: Press
Figure (2)
Interpretation: From the graph it can be observed that graph is a circle of radius 2 with center
(c)
To find: The parametrization for the circle with radius 5 and center
(c)
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Answer to Problem 44E
The parametrization for the circle with radius 5 and center
Explanation of Solution
Given information:The given parametric equations are
Calculation:
It is given that the center of the circle is
Also, the radius of the circle is 5. So, the coefficient of
The parametrization for the circle with radius 5 are:
And
Therefore, the parametrization for the circle with radius 5 and center
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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