anonymous
  • anonymous
could i get some help with this?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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hartnn
  • hartnn
@TuringTest ,can u plz try this ?
TuringTest
  • TuringTest
you need the intersection of the two shapes, have you got that yet?
anonymous
  • anonymous
nope...

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TuringTest
  • TuringTest
set formulas for z equal and find what shape the intersection is
anonymous
  • anonymous
a circle with a radius of 4
anonymous
  • anonymous
the shape of intersection
anonymous
  • anonymous
then..?
TuringTest
  • TuringTest
then what are the bounds on r and theta?
anonymous
  • anonymous
0
anonymous
  • anonymous
what do i integrate over though??
TuringTest
  • TuringTest
z upper - z lower
TuringTest
  • TuringTest
which function is on top and which is below for z?
anonymous
  • anonymous
r-(32-r^2)^(1/2)
TuringTest
  • TuringTest
yes
anonymous
  • anonymous
yea i never know when a function is on top or on the bottom can we plug in values to figure this out?
TuringTest
  • TuringTest
sure, try x=y=0 and you can find out real quick
TuringTest
  • TuringTest
oh, and I see I let you do it backwards, sorry
anonymous
  • anonymous
i got it right but i guessed...whats the math behind it?
TuringTest
  • TuringTest
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
anonymous
  • anonymous
hmm i get it plug in x=y=0 to find out which ones on top which ones on the bottom
anonymous
  • anonymous
=)!
anonymous
  • anonymous
could you have a look at the second question as well
TuringTest
  • TuringTest
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
  • TuringTest
|dw:1352743460102:dw|
TuringTest
  • TuringTest
a strip of the shaded area is|dw:1352743660838:dw|
anonymous
  • anonymous
yup with u
TuringTest
  • TuringTest
sorry that's|dw:1352743785867:dw|
anonymous
  • anonymous
how did u get the equation of the strip
TuringTest
  • TuringTest
|dw:1352743918863:dw|
anonymous
  • anonymous
i got the first equation when i apply the top-bottom rule
TuringTest
  • TuringTest
right, but I think we want to do this in polar anyways
anonymous
  • anonymous
yea we do so the bottom equation is right because we want to subtract one to gt the bottom half of the circle
anonymous
  • anonymous
http://math.berkeley.edu/~scanez/courses/math53/spring06/problems/review2_solns.pdf
anonymous
  • anonymous
check this out instead=) incase your curious

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