(a) Convert the point whose polar coordinates are (4, 57/4) to rectangular coordinates. (x, y) = (-2√2,- 2√2 (b) Find two polar coordinate representations for the rectangular coordinate point (-9, 3√3), one with r> 0 and one with r< 0 and both with 0 ≤ 0 < 2π. r> 0 (r, 0) = r< 0 (r, 0) = X
(a) Convert the point whose polar coordinates are (4, 57/4) to rectangular coordinates. (x, y) = (-2√2,- 2√2 (b) Find two polar coordinate representations for the rectangular coordinate point (-9, 3√3), one with r> 0 and one with r< 0 and both with 0 ≤ 0 < 2π. r> 0 (r, 0) = r< 0 (r, 0) = X
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
(a) Convert the point whose polar coordinates are (4, 5pi/4) to rectangular coordinates.
(b) Find two polar coordinate representations for the rectangular coordinate point (−9, sqrt3), one with r > 0and one with r < 0 and both with 0 ≤ theta < 2pi.
r > 0 | (r, theta) | = |
r < 0 | (r, theta) | = |
![(a) Convert the point whose polar coordinates are (4, 5π/4) to rectangular coordinates.
(x, y) = (-2√√2, -2√√/2
(b) Find two polar coordinate representations for the rectangular coordinate point (-9, 3√3), one with r> 0 and one with r < 0 and both with 0 ≤ 0 < 2π.
(r, 0)
r> 0
r< 0
=
(r, 0) =
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bf924c9-004f-4d6e-8ca9-cd3dfc457bd4%2Fb68046e2-2ca9-44db-86ca-54243b72cd72%2Fqym7tc_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Convert the point whose polar coordinates are (4, 5π/4) to rectangular coordinates.
(x, y) = (-2√√2, -2√√/2
(b) Find two polar coordinate representations for the rectangular coordinate point (-9, 3√3), one with r> 0 and one with r < 0 and both with 0 ≤ 0 < 2π.
(r, 0)
r> 0
r< 0
=
(r, 0) =
X
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