Chapter 7: Triple Integration
Section 7.5: Spherical Coordinates
Example 7.5.8
Sketch the region above the cone φ=π/4 and below the sphere ρ=3 cosφ.
Solution
p1≔plot3d3 cosφ,θ=0..2 π,φ=0..π/4,coords=spherical:p2≔plot3dρ,θ,π/4,ρ=0..3/2, θ=0..2 π,coords=spherical:plots:-displayp1,p2,scaling=constrained, axes=frame,labels=x,y,z,tickmarks=3,3,3,orientation=−30,75,0,lightmodel=none
The plot data-structure p1 houses the graph of the relevant portion of the sphere; p2, the cone.
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