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Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 s 0 s 2.) (a) (-1, 1, 1) -,1 4 ) (Б) (-2, 2/3, 8) 11n 4, - 8

Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 s 0 s 2.) (a) (-1, 1, 1) -,1 4 ) (Б) (-2, 2/3, 8) 11n 4, - 8

Calculus: Early Transcendentals
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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**Conversion from Rectangular to Cylindrical Coordinates** Change from rectangular to cylindrical coordinates. (Let \( r \geq 0 \) and \( 0 \leq \theta \leq 2\pi \).) **(a)** For the point \((-1, 1, 1)\): Cylindrical coordinates: \(\left(\sqrt{2}, \frac{3\pi}{4}, 1\right)\) **(b)** For the point \((-2, 2\sqrt{3}, 8)\): Cylindrical coordinates: \(\left(4, \frac{11\pi}{6}, -8\right)\) (This solution is marked with an "X" indicating a possible error.) --- This text includes two mathematical problems involving the conversion of points from rectangular (Cartesian) coordinates to cylindrical coordinates. It specifically notes the results of such conversions for two given points, with the second conversion potentially being incorrect as indicated by the "X" mark.
Transcribed Image Text:**Conversion from Rectangular to Cylindrical Coordinates** Change from rectangular to cylindrical coordinates. (Let \( r \geq 0 \) and \( 0 \leq \theta \leq 2\pi \).) **(a)** For the point \((-1, 1, 1)\): Cylindrical coordinates: \(\left(\sqrt{2}, \frac{3\pi}{4}, 1\right)\) **(b)** For the point \((-2, 2\sqrt{3}, 8)\): Cylindrical coordinates: \(\left(4, \frac{11\pi}{6}, -8\right)\) (This solution is marked with an "X" indicating a possible error.) --- This text includes two mathematical problems involving the conversion of points from rectangular (Cartesian) coordinates to cylindrical coordinates. It specifically notes the results of such conversions for two given points, with the second conversion potentially being incorrect as indicated by the "X" mark.
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