a)
To plot: The point with the given polar coordinates and find the corresponding rectangular coordinates.
a)
Answer to Problem 1E
The given polar coordinates are shown in Figure (1) and the corresponding rectangular coordinate is
Explanation of Solution
Given information:
A polar coordinate is given as
Formula used: Let the point P have polar coordinates
Calculation:
Plot
Figure (1)
Find the
Find the
Therefore, the corresponding rectangular coordinate is
b)
To plot: The point with the given polar coordinates and find the corresponding rectangular coordinates.
b)
Answer to Problem 1E
The given polar coordinates are shown in Figure (2) and the corresponding rectangular coordinate is
Explanation of Solution
Given information: A polar coordinate is given as
Formula used: Let the point P have polar coordinates
Calculation:
Plot
Figure (2)
Find the
Find the
Therefore, the corresponding rectangular coordinate is
c)
To plot: The point with the given polar coordinates and find the corresponding rectangular coordinates.
c)
Answer to Problem 1E
The given polar coordinates are shown in Figure (3) and the corresponding rectangular coordinate is
Explanation of Solution
Given information: A polar coordinate is given as
Formula used: Let the point P have polar coordinates
Calculation:
Plot
Figure (3)
Find the
Find the
Therefore, the corresponding rectangular coordinate is
d)
To plot: The point with the given polar coordinates and find the corresponding rectangular coordinates.
d)
Answer to Problem 1E
The given polar coordinates are shown in Figure (3) and the corresponding rectangular coordinate is
Explanation of Solution
Given information: A polar coordinate is given as
Formula used: Let the point P have polar coordinates
Calculation:
Plot
Figure (4)
Find the
Find the
Therefore, the corresponding rectangular coordinate is
Chapter 10 Solutions
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