WeBWorK Standalone Renderer

For each surface, decide whether it could be a bowl, a plate, or neither. Consider a plate to be any fairly flat surface and a bowl to be anything that could hold water, assuming the positive z-axis is up.

1. $z = 1$

2. $z = 1 - x^2 - y^2$

3. $x + y + z = 3$

4. $z = x^2 + y^2$

5. $z = - \sqrt{ 2 - x^2 - y^2 }$

You can earn 60% partial credit for 3 - 4 correct answers.