Find an Equation in Spherical Coordinates for the Equation Given $$x ^ { 2 } + y ^ { 2 } - 4 z ^ { 2 } = 3$$

question 104

Multiple Choice

Find an equation in spherical coordinates for the equation given in rectangular coordinates. $$x ^ { 2 } + y ^ { 2 } - 4 z ^ { 2 } = 3$$

• A)
• \[\rho ^ { 2 } = \frac { 3 } { \left( \sin ^ { 2 } \phi - 4 \cos ^ { 2 } \phi \right) }\]
• B)
• \[\rho ^ { 2 } = \frac { 3 } { \left( \sin ^ { 2 } \theta - 4 \cos ^ { 2 } \theta \right) }\]
• C)
• \[\beta ^ { 2 } = \frac { 3 } { \left( \sin ^ { 2 } \phi - 4 \cos ^ { 2 } \theta \right) }\]
• D)
• \[\beta ^ { 2 } = \frac { 3 } { \left( \cos ^ { 2 } \phi - 4 \sin ^ { 2 } \phi \right) }\]
• E)
• \[\beta = - \sqrt { \frac { 3 } { 4 } }\]

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