Question

Change from rectangular to cylindrical coordinates. (a) $(0, -3, 8)$ $(r, \theta, z) = (\quad)$ (b) $(-3, 3\sqrt{3}, 2)$ $(r, \theta, z) = (\quad)$

Name: change from rectangular to cylindrical coordinates a 0 3 8 r theta z quad b 3 3sqrt3 2 r theta z quad 83114
Uploaded: 2020-07-16T04:06:20-08:00
Duration: 2 min 48 s
Channel: Paul Teng
Description: change from rectangular to cylindrical coordinates a 0 3 8 r theta z quad b 3 3sqrt3 2 r theta z quad 83114

          Change from rectangular to cylindrical coordinates.
(a) $(0, -3, 8)$
$(r, \theta, z) = (\quad)$
(b) $(-3, 3\sqrt{3}, 2)$
$(r, \theta, z) = (\quad)$

Added by Mackenzie S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Paul Teng

07/16/2020

Step 1

To convert from rectangular coordinates $(x, y, z)$ to cylindrical coordinates $(r, \theta, z)$, we use the following formulas: $r = \sqrt{x^2 + y^2}$ $\tan \theta = \frac{y}{x}$ (or $\theta = \operatorname{atan2}(y, x)$ to handle quadrants correctly) $z = z$ Show more…

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