Find the Mass of the Lamina That Occupies the Region $x = y ^ { 2 }$

question 87

Multiple Choice

Find the mass of the lamina that occupies the region D and has the given density function, if D is bounded by the parabola $x = y ^ { 2 }$ and the line $y = x - 2$ . $\rho ( x , y ) = 3$

• A) \(\frac { 3 } { 2 }\)
• B) \(2\)
• C) 27
• D) \(\frac { 27 } { 2 }\)
• E) None of these

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Definitions:

Average Fixed Cost

The set expenses associated with production (not influenced by production scale) distributed over the number of items produced.

Marginal Cost

The increase in total production costs resulting from producing one additional unit of a product or service.

Variable Cost

Charges that adjust according to the volume of goods produced or services provided.

Output

The total quantity of goods or services produced by a firm or industry during a specific period.