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Describe the 3-Space Graph of the Equation Z2 = Y2

Question 9

Multiple Choice

Describe the 3-space graph of the equation z2 = y2 + x2.


A) a surface of revolution obtained by rotating the parabola z = x2 in the xz-plane about the z-axis
B) a circular cone with vertex at the origin, axis along the z-axis, and semi-vertical angle Describe the 3-space graph of the equation z<sup>2</sup> = y<sup>2</sup> + x<sup>2</sup>. A)  a surface of revolution obtained by rotating the parabola z = x<sup>2</sup> in the xz-plane about the z-axis B)  a circular cone with vertex at the origin, axis along the z-axis, and semi-vertical angle   C)  a circular cylinder with axis along the z-axis radius z D)  a circle having radius z in the xy-plane E)  a surface of revolution obtained by rotating the parabola z = y<sup>2</sup> in the yz-plane about the z-axis
C) a circular cylinder with axis along the z-axis radius z
D) a circle having radius z in the xy-plane
E) a surface of revolution obtained by rotating the parabola z = y2 in the yz-plane about the z-axis

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