SABREEN
could i get some help with this?
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hartnn
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@TuringTest ,can u plz try this ?
TuringTest
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you need the intersection of the two shapes, have you got that yet?
SABREEN
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nope...
TuringTest
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set formulas for z equal and find what shape the intersection is
SABREEN
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a circle with a radius of 4
SABREEN
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the shape of intersection
SABREEN
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then..?
TuringTest
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then what are the bounds on r and theta?
SABREEN
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0<r<4 and 0<theta<2 pi
SABREEN
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what do i integrate over though??
TuringTest
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z upper - z lower
TuringTest
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which function is on top and which is below for z?
SABREEN
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r-(32-r^2)^(1/2)
TuringTest
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yes
SABREEN
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yea i never know when a function is on top or on the bottom can we plug in values to figure this out?
TuringTest
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sure, try x=y=0 and you can find out real quick
TuringTest
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oh, and I see I let you do it backwards, sorry
SABREEN
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i got it right but i guessed...whats the math behind it?
TuringTest
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hooray :)
at the origin x=y=0, so
z=x^2+y^2=0 is on the bottom, and
z=32-x^2-y^2=32 is on top
SABREEN
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hmm i get it plug in x=y=0 to find out which ones on top which ones on the bottom
SABREEN
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=)!
SABREEN
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could you have a look at the second question as well
TuringTest
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by plugging in x=y=0 and comparing values we are asking which one is on top at that point. Unless they cross each other that goes for the whole shape
the second one looks a little harder, let me see...
TuringTest
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|dw:1352743460102:dw|
TuringTest
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a strip of the shaded area is|dw:1352743660838:dw|
SABREEN
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yup with u
TuringTest
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sorry that's|dw:1352743785867:dw|
SABREEN
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how did u get the equation of the strip
TuringTest
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|dw:1352743918863:dw|
SABREEN
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i got the first equation when i apply
the top-bottom rule
TuringTest
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right, but I think we want to do this in polar anyways
SABREEN
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yea we do
so the bottom equation is right because we want to subtract one to gt the bottom half of the circle
SABREEN
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check this out instead=) incase your curious