Chapter 7: Triple Integration

Section 7.5: Spherical Coordinates

Example 7.5.3

$$ Sketch the region above the plane $z\=3\/4$ in a unit sphere with center at the origin. $$ Solution $$ Use the plot3d command with the spherical-coordinates option.   $\mathrm{plot3d}\left(1\,\mathrm{\theta }\=0..2 \mathrm{\pi }\,\mathrm{\phi }\=0..\arccos \left(3\/4\right)\,\mathrm{coords}\=\mathrm{spherical}\,\mathrm{scaling}\=\mathrm{constrained}\,\mathrm{labels}\=\left[x\,y\,z\right]\,\mathrm{tickmarks}\=\left[3\,3\,2\right]\,\mathrm{axes}\=\mathrm{frame}\,\mathrm{orientation}\=\left[-25\,80\,0\right]\,\mathrm{view}\=\left[-1..1\,-1..1\,0..1\right]\right)$ $$

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