Unformatted text preview: x 2 + y 2 ≤ z 2 with z ≥ 0 and below the plane z = 11 2 y . (a) Write the integral of f ( x,y,z ) over this region in spherical coordinates. (b) Repeat part (a) with cylindrical coordinates. (6) Compute the location of the center of mass of half of a solid sphere. Note: The ﬁrst midterm covers the material up to and including “Triple Integrals in Spherical Coordinates”. See http://www.math.ucla.edu/~killip/32b/ for the order of topics. 1...
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 Winter '10
 Corbin
 Coordinate system, Spherical coordinate system, Polar coordinate system, spherical polar coordinates

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