[b]Key Questions:[/b][br][br]Notice how the [b][color=#1e84cc]blue surface[/color][/b] contains the ceiling (greatest integer) function. If the greatest integer function symbols were removed, what would this surface look like instead? [br][br]Why is this tree "off center"? That is, why isn't (0,0,0) located on the line (parallel to the zAxis) that passes through the center of the [b][color=#ff00ff]pink cylinder[/color][/b]? [br][br]What point on the plane [i]z = [/i]0 DOES lies on the line that is parallel to the zAxis AND passes through center of the [b][color=#ff00ff]cylinder[/color][/b]? How can we mathematically justify this? [br][br]What is the highest z-value attained by the [b][color=#1e84cc]blue tree part[/color][/b]?