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Uploaded by math2bprof on May 26, 2008
This video presents an example of how to compute a triple integral in spherical coordinates.
Science & Technology
Standard YouTube License
exam coming up on this stuff... this stuff sucks
npa50051 2 months ago
@fahdiqbal11 You missed a spot there, ranger, don't be so sure about your claim. Notice that z = -r != r => (...) => tan(phi)=-1 => phi = -pi/4 = 3pi/4
wolterh6 7 months ago
z=sqrt x^2 + y^2
z=r
rhocosphi=rhosinphi divide both sides by rho
cosphi=sinphi divide both sides by cosphi
1 = tanphi
phi = arctan 1
phi= pi/4
NOT 3pi/4
fahdiqbal11 9 months ago
Perfect!
12388696 1 year ago
THANK YOUUUUUUUU!!!!!!
erica4123 1 year ago
@parpsy because you measure it from the positive z axis.
DeluxeWarPlaya 1 year ago
why three pie over four explain phi more
parpsy 1 year ago
@TomRiverstone When you have z = a*sqrt(x^2 + y^2) it is tan(phi) = 1/a
albi7 1 year ago
@sunrise3500 it equals p^3, but when you multiply by the volume element you get p^5... (comes from p^2 sin )
feard0m 1 year ago
giant steps by john coltrane
felenoral 1 year ago
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exam coming up on this stuff... this stuff sucks
npa50051 2 months ago
@fahdiqbal11 You missed a spot there, ranger, don't be so sure about your claim. Notice that z = -r != r => (...) => tan(phi)=-1 => phi = -pi/4 = 3pi/4
wolterh6 7 months ago
z=sqrt x^2 + y^2
z=r
rhocosphi=rhosinphi divide both sides by rho
cosphi=sinphi divide both sides by cosphi
1 = tanphi
phi = arctan 1
phi= pi/4
NOT 3pi/4
fahdiqbal11 9 months ago
Perfect!
12388696 1 year ago
THANK YOUUUUUUUU!!!!!!
erica4123 1 year ago
@parpsy because you measure it from the positive z axis.
DeluxeWarPlaya 1 year ago
why three pie over four explain phi more
parpsy 1 year ago
@TomRiverstone When you have z = a*sqrt(x^2 + y^2) it is tan(phi) = 1/a
albi7 1 year ago
@sunrise3500 it equals p^3, but when you multiply by the volume element you get p^5... (comes from p^2 sin )
feard0m 1 year ago
giant steps by john coltrane
felenoral 1 year ago