Use the Shell Method to Find the Volume of the Solid

question 162

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and
lines about the x-axis.
- $$x = \frac { 1 } { 6 } e ^ { 2 } , y = 0 , x = 0 , y = 1$$

• A) \(3 \pi \mathrm { e }\)
• B) \(\pi ( \mathrm { e } - 1 )\)
• C) \(\frac { \pi } { 6 } ( e - 1 )\)
• D) \(6 \pi ( e - 1 )\)

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Definitions:

Private International Borrowing

The process by which private entities or corporations in one country borrow funds from foreign lenders, including banks or investors.

Lending

The act of giving money, property, or other material goods to another party with the expectation of future repayment of the principal amount along with interest or other finance charges.

Public Outlay

The total amount of government spending, including expenditures on public services, infrastructure, and welfare programs.

Printing Money

The process by which the central bank increases the money supply by physically creating more currency.