r> 0 r< 0 (4₁-2-3) (r, 0) (r, 0) = X X

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Step 5
(c) (4, -1)
3
For a new point, we are asked to find two other pairs of polar coordinates to represent the point, one with the radius r > 0 and one with r < 0.
We know from a previous part that we can add 2 to the angle of the given polar coordinates to find a second point. We also know that (-r, 0) represents the same point as (r, 0 + π).
We use these facts to find two pairs of polar coordinates of the given point as follows.
r> 0
r< 0
Submit
(4, -1)
3
(r, 0)
(r, 0)
Skip (you cannot come back)
X
X
+
X
19
I
00
VOO!
Transcribed Image Text:Step 5 (c) (4, -1) 3 For a new point, we are asked to find two other pairs of polar coordinates to represent the point, one with the radius r > 0 and one with r < 0. We know from a previous part that we can add 2 to the angle of the given polar coordinates to find a second point. We also know that (-r, 0) represents the same point as (r, 0 + π). We use these facts to find two pairs of polar coordinates of the given point as follows. r> 0 r< 0 Submit (4, -1) 3 (r, 0) (r, 0) Skip (you cannot come back) X X + X 19 I 00 VOO!
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