(a)
To determine: The rectangular coordinates of the given polar coordinates. Also, plot each point with the given polar coordinates.
(a)
Answer to Problem 2E
The required corresponding point in the rectangular
Explanation of Solution
Given information:
The polar coordinate system:
Calculation:
The given polar coordinate system is
It is known that in a polar coordinate system if
Write the above coordinates as:
And,
Thus, the required corresponding point in the rectangular coordinate system is
The plotting of the point is shown below:
Hence, the required corresponding point in the rectangular coordinate system is
(b)
To determine: The rectangular coordinates of the given polar coordinates. Also, plot each point with the given polar coordinates.
(b)
Answer to Problem 2E
The required corresponding point in the rectangular coordinate system is
Explanation of Solution
Given information:
The polar coordinate system:
Calculation:
The given polar coordinate system is
It is known that in a polar coordinate system if
Write the above coordinates as:
And,
Thus, the required corresponding point in the rectangular coordinate system is
The plotting of the point is shown below:
Hence, the required corresponding point in the rectangular coordinate system is
(c)
To determine: The rectangular coordinates of the given polar coordinates. Also, plot each point with the given polar coordinates.
(c)
Answer to Problem 2E
The required corresponding point in the rectangular coordinate system is
Explanation of Solution
Given information:
The polar coordinate system:
Calculation:
The given polar coordinate system is
It is known that in a polar coordinate system if
Write the above coordinates as:
And,
Thus, the required corresponding point in the rectangular coordinate system is
The plotting of the point is shown below:
Hence, the required corresponding point in the rectangular coordinate system is
(d)
To determine: The rectangular coordinates of the given polar coordinates. Also, plot each point with the given polar coordinates.
(d)
Answer to Problem 2E
The required corresponding point in the rectangular coordinate system is
Explanation of Solution
Given information:
The polar coordinate system:
Calculation:
The given polar coordinate system is
It is known that in a polar coordinate system if
Write the above coordinates as:
And,
Thus, the required corresponding point in the rectangular coordinate system is
The plotting of the point is shown below:
Hence, the required corresponding point in the rectangular coordinate system is
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic
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