Find the Volume of the Given Solid $z = 3 x ^ { 2 } + 9 y ^ { 2 }$

question 33

Short Answer

Find the volume of the given solid.
Under the paraboloid $z = 3 x ^ { 2 } + 9 y ^ { 2 }$ and above the rectangle $R = [ 0,3 ] \times [ 1,5 ]$ .

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Definitions:

Extraversion

A personality trait characterized by outgoingness, high levels of social engagement, and a tendency to seek stimulation in the company of others.

Introversion

A personality trait typified by a focus on internal feelings rather than external sources of stimulation, often manifesting in a preference for solitude or small groups.

Depression

A mental health condition characterized by persistent feelings of sadness, hopelessness, and a lack of interest or pleasure in activities, affecting daily functioning.