Chapter 7: Triple Integration
Section 7.5: Spherical Coordinates
Express the Cartesian point 2,5,3 in spherical coordinates.
Substitution into the equations on the right in Table 7.5.1 leads to
ρ=22+52+32=38 ≐ 6.16
φ=arccos3/38 ≐ 1.06
θ=arctan5/2 ≐ 1.19
Maple Solution - Interactive
Expression palette: Evaluation template
Press the Enter key.
Context Panel: Approximate≻5 (digits)
→at 5 digits
Maple Solution - Coded
Use the eval command to make substitutions into the equations on the right in Table 7.5.1, and then apply the evalf command to obtain floating-point equivalents.
The only tool in Maple for converting coordinates of a point is the MapToBasis command in the Student VectorCalculus package, a package in which points are represented as vectors. The BasisFormat command sets the display mode for vectors in this package.
Install the Student VectorCalculus package.
Set the display format for vectors.
Change to spherical coordinates
Notice that φ is given by the arctangent function and not by the arccosine function.
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