1. Find the rectangular coordinates of the points whose polar coordinates are given. (a) (6, π/6) (b) (7, 2π/3) (c) (-6, -5π/6) (d) (0, -π) (e) (7, 17π/6) (f) (-5,0) 2. In each part, a point is given in rectangular coordinates. Find two pairs of polar coordinates for the point, one pair satisfying r≥ 0 and 0≤0 ≤2, and the secon pair satisfying r20 and 2n≤ 0 ≤ 0, (a) (-5,0) (b) (2√3,-2) (c) (0, -2) (d) (-8,-8) (e) (-3,3-√3)

Calculus: Early Transcendentals
8th Edition
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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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1. Find the rectangular coordinates of the points whose polar coordinates are given.
(a) (6, π/6)
(b) (7, 2π/3)
(c) (-6, -5π/6)
(d) (0, -π)
(e) (7, 17π/6)
(f) (-5,0)
2. In each part, a point is given in rectangular coordinates. Find two pairs of polar
coordinates for the point, one pair satisfying r≥ 0 and 0≤0 ≤2л, and the second
pair satisfying r≥ 0 and -2 ≤ 0 ≤ 0,
(a) (-5,0)
(b) (2√3,-2)
(c) (0, -2)
(d) (-8,-8)
(e) (-3,3-√√3)
(f) (1,1)
3. Use a calculating utility, to approximate the polar coordinates of the points whose
rectangular coordinates are given.
(a) (3,4)
(b) (6, -8)
(c) (-1, tan¹¹ 1)
Transcribed Image Text:1. Find the rectangular coordinates of the points whose polar coordinates are given. (a) (6, π/6) (b) (7, 2π/3) (c) (-6, -5π/6) (d) (0, -π) (e) (7, 17π/6) (f) (-5,0) 2. In each part, a point is given in rectangular coordinates. Find two pairs of polar coordinates for the point, one pair satisfying r≥ 0 and 0≤0 ≤2л, and the second pair satisfying r≥ 0 and -2 ≤ 0 ≤ 0, (a) (-5,0) (b) (2√3,-2) (c) (0, -2) (d) (-8,-8) (e) (-3,3-√√3) (f) (1,1) 3. Use a calculating utility, to approximate the polar coordinates of the points whose rectangular coordinates are given. (a) (3,4) (b) (6, -8) (c) (-1, tan¹¹ 1)
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