The Cartesian coordinates of a point are given. (a) (−9, 9) (i) Find polar coordinates (r, theta) of the point, where r > 0 and 0 ≤ theta < 2?. (ii) Find polar coordinates (r, theta) of the point, where r < 0 and 0 ≤ theta < 2?. (b) (3, 3) (i) Find polar coordinates (r, theta) of the point, where r > 0 and 0 ≤ theta < 2?. (ii) Find polar coordinates (r, theta) of the point, where r < 0 and 0 ≤ theta < 2?.
The Cartesian coordinates of a point are given. (a) (−9, 9) (i) Find polar coordinates (r, theta) of the point, where r > 0 and 0 ≤ theta < 2?. (ii) Find polar coordinates (r, theta) of the point, where r < 0 and 0 ≤ theta < 2?. (b) (3, 3) (i) Find polar coordinates (r, theta) of the point, where r > 0 and 0 ≤ theta < 2?. (ii) Find polar coordinates (r, theta) of the point, where r < 0 and 0 ≤ theta < 2?.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The Cartesian coordinates of a point are given.
(a)
(b)
(−9, 9)
(i) Find polar coordinates
(ii) Find polar coordinates
(r, theta)
of the point, where
r > 0
and
0 ≤ theta < 2?.
(r, theta)
of the point, where
r < 0
and
0 ≤ theta < 2?.
(b)
(3, 3)
(i) Find polar coordinates
(ii) Find polar coordinates
(r, theta)
of the point, where
r > 0
and
0 ≤ theta < 2?.
(ii) Find polar coordinates
(r, theta)
of the point, where
r < 0
and
0 ≤ theta < 2?.
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