Let R denotea region (inR3), bounded by the planes x=0, y=0, andz=2, and the surface z = x2 + y2, and contained in the quadrant x ?0 y ? 0. Sketch the region R, and evaluate the triple integral ZZZRx dV.
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11.8 #1 Suppose that I = the triple integral of f(x,y,z)dV over the region R bounded by the cone z = âx^2+y^2 (again that is the square root of x^2 + y^2) and the paraboloid z = 2 - (x^2 + y^2). Sketch the region of integration R. Let f(x,y,z) = x + y + z. Evaluate I. [Hint: what section is this in?]
