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posted by  16177 on 7/8/2008 8:15:13 PM  |  status: Closed  

simple one.... 100% life saver..

Course Textbook Chapter Problem
Calculus Calculus (5th) by Stewart 11.3 1E
Question Details:
Plot the point whose polar coordinates are given..
then find two other pairs of polar coordinates of this point,  one with r>0
and one with r<0
 
(3.2)
 
(3.0)
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posted by Cdutch88 on 7/8/2008 9:29:21 PM  |  status: Live
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16177's comment:
"thank you"
Response Details:
Assuming that by (3.2) you mean (3,2) as in r = 3 and θ = 2, then the other two points will have polar coordinates of (3, 2+2π), because changes of 2π in the angle do not change the direction, and (-3, 2+π), because making the radius negative serves to change the angle by 180 degrees, or π radians, and so this must be corrected for in the angle.




Similarly, for (3,0), our two points are (3, 2π) and (-3, π).


Lifesaver means I answered your question correctly and error-free. Please rate accordingly, I'd be super grateful! Thanks!
Tags: Math, Calculus
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