Find the Area of the Surface $S$ Where $S$ Is the Part of the Plane

question 45

Short Answer

Find the area of the surface $S$ where $S$ is the part of the plane $z = 3 x ^ { 2 } + y$ that lies above the triangular region with vertices $( 0,0 ) , ( 2,0 )$ , and $( 2,2 )$ .

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Definitions:

Ethical Mind

The capability to recognize and deliberate upon moral values and principles, applying them in one’s decisions and actions.

Aspire

To have a strong desire, longing, or aim to achieve something, often something difficult or ambitious.

Good Work

Work that is not only high in quality but also ethically responsible and socially beneficial.

Reversibility

The property of a process or action to be reversed, returning to its original state or condition without significant changes or consequences.