Find an Equation in Rectangular Coordinates for the Equation Given $r ^ { 2 } + z ^ { 2 } = 4$

question 53

Multiple Choice

Find an equation in rectangular coordinates for the equation given in cylindrical coordinates. $r ^ { 2 } + z ^ { 2 } = 4$

• A) \(x + y + z = 2\)
• B) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4\)
• C) \(x ^ { 2 } + y ^ { 2 } + \left( \frac { z } { 2 } \right) ^ { 2 } = 0\)
• D) \(x ^ { 2 } + y ^ { 2 } = - 4 z ^ { 2 }\)
• E) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 2\)

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