Solved: ?In the following exercises, the region R occupied by a lamina is shown in a

Chapter 5, Problem 306

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In the following exercises, the region R occupied by a lamina is shown in a graph. Find the mass of R with the density function \(\rho\).

\(R=\left\{(x, y) \mid 9 x^{2}+y^{2} \leq 1, x \geq 0, y \geq 0\right\}\); \(\rho(x, y)=\sqrt{9 x^{2}+y^{2}}\)

                                           

                                     

Text Transcription:

rho

R=\left\{(x, y) \mid 9 x^{2}+y^{2} \leq 1, x \geq 0, y \geq 0\right\}

\rho(x, y)=\sqrt{9 x^{2}+y^{2}}

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