Approximate the Area Under the Curve and Above the X-Axis $$\mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } \text { from } x = 0 \text { to } x = 4 ; n = 4$$

question 46

Multiple Choice

Approximate the area under the curve and above the x-axis using n rectangles. Let the height of each rectangle be given
by the value of the function at the right side of the rectangle.
- $$\mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } \text { from } x = 0 \text { to } x = 4 ; n = 4$$

• A) 27
• B) 33
• C) 36
• D) 30

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Definitions:

Producer Surplus

The difference between the amount producers are willing to sell a good for and the actual higher amount they receive by selling it at the market price.

Ticket Scalping

The practice of buying tickets to an event and reselling them at a higher price, often done illegally or in a gray market.

Total Surplus

The sum of consumer surplus and producer surplus in a market, representing the total net benefit to society from producing and consuming a good or service.

Cost of Production

The total expense incurred in manufacturing goods or services, including raw materials, labor, and overhead costs.