Find the Mass of the Lamina Described by the Inequalities $x \geq 0$

Multiple Choice

Find the mass of the lamina described by the inequalities $x \geq 0$ and $3 \leq y \leq 3 + \sqrt { 9 - x ^ { 2 } }$ , given that its density is $\rho ( x , y ) = 7 x y$ . (Hint: Some of the integrals are simpler in polar coordinates.)

A) $\frac { 2,079 } { 8 }$
B) $\frac { 16 } { 6,237 }$
C) $\frac { 8 } { 2,079 }$
D) $\frac { 2,457 } { 8 }$
E) $\frac { 6,237 } { 16 }$