Find the Volume of the Solid Generated by Revolving the Region

question 49

Multiple Choice

Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve $y = e ^ { - 2 x }$ , and the line $x = 2$ about the $y$ -axis.

• A) \(\frac { 1 } { 2 } \pi \left( 1 - 5 \mathrm { e } ^ { - 4 } \right)\)
• B) \(\frac { 1 } { 2 } \pi \left( 1 - 3 \mathrm { e } ^ { - 4 } \right)\)
• C) \(\frac { 1 } { 2 } \pi \left( 1 - 4 \mathrm { e } ^ { - 4 } \right)\)
• D - \(\frac { 1 } { 2 } \pi \left( 1 + 5 e ^ { - 4 } \right)\)

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Fire Sale

A sale of goods at extremely discounted prices, typically due to the seller's urgent need to dispose of these items quickly.

Demand Uncertainty

Refers to the unpredictable nature and variability of customer demand for products or services, making it challenging to plan effectively.

Product Availability

Refers to the extent to which goods or services can be bought from a company at any given time.

Cost of Stocking Out

The financial loss and potential customer dissatisfaction resulting from insufficient inventory to meet demand.