Question
Find the mass of the solid bounded by the density function being δ (z,y,x )= .|x|
Answer :
Word Count : 412
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We are to find the mass of the solid bounded by $$ z = 1 \quad \text{and} \quad z = x^2 + y^2 $$ with density $$ \delta(x, y, z) = |x|. $$ We will solve manually, step by step. --- ### 1. Describe the solid * The surface $z = x^2 + y^2$ is an upward paraboloid. * The plane $z = 1$ is horizontal. * The solid is the volume inside the paraboloid and below the plane. The paraboloid intersects _____ ____ _________ ________ _____ ______ _________ ______ _______ _________ _______ _____.
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