Solve the Problem $y = e ^ { x }$ , and the Line

question 395

Multiple Choice

Solve the problem.
-Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve $y = e ^ { x }$ , and the line $x = \ln 5$ about the line $x = \ln 5$ .

• A) \(2 \pi ( 5 - \ln 5 )\)
• B) \(2 \pi ( 5 - \ln 6 )\)
• C) \(2 \pi ( 4 + \ln 5 )\)
• D) \(2 \pi ( 4 - \ln 5 )\)

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Definitions:

Average Fixed Costs

When the production expenses that stay uniform, regardless of production levels, are divided by the number of goods produced.

Average Total Cost

The total cost of production divided by the total quantity of goods or services produced, representing the average cost per unit of output.

Plant Size

The capacity or physical dimensions of a manufacturing or production facility, influencing its output and scale of operations.

Economies of Scale

Savings achieved by companies because of larger operational volumes, where the cost for each unit produced tends to drop as the scale of production grows.