Find an Equation in Rectangular Coordinates for the Equation Given $r = 4 z$

question 4

Multiple Choice

Find an equation in rectangular coordinates for the equation given in cylindrical coordinates. $r = 4 z$

• A) \(x ^ { 2 } + y ^ { 2 } = \frac { z } { 4 }\)
• B) \(x ^ { 2 } + y ^ { 2 } = \frac { y } { 4 }\)
• C) \(x ^ { 2 } + z ^ { 2 } = 4 y\)
• D) \(x ^ { 2 } + y ^ { 2 } = 16 z ^ { 2 }\)
• E) \(x ^ { 2 } + y ^ { 2 } = 4 z\)

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