sketch the solid described by the given inequalities (cylindrical coordinates) 0(
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OpenStudy (turingtest):
from theta to pi over two is in the first octant, right?
OpenStudy (anonymous):
yes
OpenStudy (turingtest):
I mean from 0*
OpenStudy (turingtest):
now r is the radius, so at the origin z=0 what is the radius?
OpenStudy (anonymous):
I would think 0
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OpenStudy (turingtest):
right, so it's just a point
what about when z=2, what is the radius?
OpenStudy (anonymous):
2
OpenStudy (anonymous):
less than or equal to 2 I should say I guess
OpenStudy (turingtest):
right
in general, whatever our z<= whatever r is, and r^2=x^2+y^2|dw:1347500316259:dw|
OpenStudy (turingtest):
|dw:1347500358530:dw|
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OpenStudy (turingtest):
|dw:1347500449667:dw|at z=1 the radius is 1 and sweeps out from 0 to pi/2 in octant one
OpenStudy (turingtest):
|dw:1347500525002:dw|at z=2, r=2, sweeping over the same area
OpenStudy (turingtest):
|dw:1347500595221:dw|imagining all the points in between you can imagine that the line from origin to the outer edges of a circle will be a straight line