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Mathematics 10 Online
OpenStudy (ksaimouli):

double integral

OpenStudy (ksaimouli):

polar coordinates, \[-x^2-y^2+z^2=1 \] and the plane z=2

OpenStudy (ksaimouli):

convert to polar coordinates to find the volume

OpenStudy (ksaimouli):

@ganeshie8

OpenStudy (sidsiddhartha):

u know jacobians?

OpenStudy (ksaimouli):

no

ganeshie8 (ganeshie8):

|dw:1398952691753:dw|

ganeshie8 (ganeshie8):

lets sketch the both surfaces and get a feel how the volume between them looks

ganeshie8 (ganeshie8):

\(-x^2-y^2+z^2=1 \) \(z^2=1+x^2+y^2 \implies z = \pm \sqrt{1+x^2+y^2}\) is a two sheeted hyperboloid , but we only need the upper part

ganeshie8 (ganeshie8):

|dw:1398952879366:dw|

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