Find the Center of Mass of the Lamina Bounded by the Graphs

question 118

Multiple Choice

Find the center of mass of the lamina bounded by the graphs of the equations $y = 7 x ^ { 2 } , y = 0$ , and $x = 6$ for the density $\rho = k x y$

• A) \(\left( 63 , \frac { 24 } { 7 } \right)\)
• B) \(\left( \frac { 36 } { 7 } , 126 \right)\)
• C) \(\left( \frac { 24 } { 7 } , 126 \right)\)
• D) \(\left( 126 , \frac { 36 } { 7 } \right)\)
• E)\(\left( \frac { 24 } { 7 } , 63 \right)\)

---

Definitions:

Carrying Amount

The value of an asset or liability according to a company's financial statements, minus any depreciation or amortization.

Face Value

The face or monetary value displayed on a financial document like a bond or stock certificate, indicating its official worth.

Premium

An amount paid in addition to the standard cost or value, often for insurance, bonds, or the higher quality of a product or service.

Interest Rate

The fee, represented as a proportion of the principal, imposed by a lender on a borrower for utilizing assets.