Find the Total Area of the Region Between the Curve $$y = \frac { 3 } { x ^ { 3 } } ; 1 \leq x \leq 3$$

question 207

Multiple Choice

Find the total area of the region between the curve and the x-axis.
- $$y = \frac { 3 } { x ^ { 3 } } ; 1 \leq x \leq 3$$

• A) \(\frac { 1 } { 2 }\)
• B) 3
• C) \(\frac { 1 } { 3 }\)
• D) \(\frac { 4 } { 3 }\)

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Definitions:

Marginal Product

The growth in productivity that occurs when an extra unit of input is added, with all other inputs remaining the same.

Profit

The financial benefit realized when revenue generated from business activities exceeds the expenses, costs, and taxes needed to sustain the operation.

Total Output

The total amount of goods and services produced within an economy at a given overall price level in a given time period.

Economies of Scale

Cost advantages reaped by companies when production becomes efficient, as the scale of the operation and output increases.