Solve the Problem $y = e ^ { - 2 x }$

question 91

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 $y = e ^ { - 2 x }$ , and the line $x = 6$ about the $y$ -axis.

• A) \(\frac { 1 } { 2 } \pi \left( 1 - 13 \mathrm { e } ^ { - 12 } \right)\)
• B) \(- \frac { 1 } { 2 } \pi \left( 1 + 13 \mathrm { e } ^ { - 12 } \right)\)
• C) \(\frac { 1 } { 2 } \pi \left( 1 - 11 \mathrm { e } ^ { - 12 } \right)\)
• D) \(\frac { 1 } { 2 } \pi \left( 1 - 12 \mathrm { e } ^ { - 12 } \right)\)

---

Definitions:

Price-Weighted

Refers to a stock market index in which each company's stock influences the index in proportion to its price per share.

Money Market

A segment of the financial market in which short-term financial instruments, such as Treasury bills and commercial paper, are traded.

Treasury Bond

Long-term, fixed-interest U.S. government debt security with a maturity of more than 10 years.

Certificate of Deposit

A savings certificate with a fixed maturity date and interest rate, issued by a bank to a person depositing money for a specified period of time.