Chapter 7: Triple Integration

Section 7.5: Spherical Coordinates

Example 7.5.10

$$ Sketch the region bounded inside by the surface $\mathrm{\ρ}\=1\+\cos \left(\mathrm{\φ}\right)$ and outside by the sphere $\mathrm{\ρ}\=2$. $$ Solution $$ $\mathrm{plot3d}\left(\left[2\,1\+\cos \left(\mathrm{\phi }\right)\right]\,\mathrm{\theta }\=0..2 \mathrm{\pi }\,\mathrm{\phi }\=0..\mathrm{\pi }\,\mathrm{coords}\=\mathrm{spherical}\,\mathrm{scaling}\=\mathrm{constrained}\,\mathrm{transparency}\=\left[.5\,0\right]\,\mathrm{labels}\=\left[x\,y\,z\right]\,\mathrm{orientation}\=\left[-40\,80\,0\right]\,\mathrm{tickmarks}\=\left[5\,5\,5\right]\,\mathrm{axes}\=\mathrm{frame}\right)$ $$

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