14 Find the mass and center of gravity of the lamina. A lamina with density (x, y) = x2

Chapter 14, Problem 4

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$1–4$ Find the mass and center of gravity of the lamina.

A lamina with density $\delta(x, y)=x^{2}+y^{2}$ is bounded by the x-axis and the upper half of the circle $x^{2}+y^{2}=1$.

Equation Transcription:

$1-4$

$\delta{}(x,y)={x}^{2}+{y}^{2}$

${x}^{2}+{y}^{2}=1$

Text Transcription:

1 - 4

delta(x,y) = x^2 + y^2

x^2 + y^2 = 1

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