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

question 17

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:

Positive Output

Production of goods or services in a quantity that exceeds zero.

Short-Run Cost Function

A mathematical relation describing how production costs change with output levels over a short period, where some inputs are fixed.

Positive Amount

A numerical value greater than zero, indicating a quantity that is present or an action that increases size or quantity.

Price

The cash expenditure required, anticipated, or transmitted in exchange for a good.