Math Problem Statement

equation is given in spherical coordinates. Express the equation in rectangular coordinates and sketch the graph. ρ = 3

Solution

Conversion to Rectangular Coordinates:

Given the equation in spherical coordinates: ρ=3\rho = 3 Where:

  • ρ\rho is the radial distance from the origin in spherical coordinates.

The relationship between spherical and rectangular coordinates is as follows: [ x = \rho \sin\theta \cos\phi

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Math Problem Analysis

Mathematical Concepts

Coordinate Systems
Spherical Coordinates
Rectangular Coordinates

Formulas

-

Theorems

-

Suitable Grade Level

College Level

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