Question

I really need some guidance for this one. Sketch the region bounded by x^2+y^2=1, x+z=2, z=0.

Answer 1

x^2 + y^2 = 1

Circle in the x-y plane. Cyllinder parallel to the z-axis

z = 0

This is the x-y plan, so keep it in Octants I, II, III, and IV.

x + z = 2

Plane that ignores the y-value. In the x-z plane, use your slope-intercept form to get a handle on it.

Answer 2

Thanks this should help out a lot. If you have the time to explain why the cylinder is parallel to the z-axis that would be great.

Answer 3

@stamp

Answer 4

http://www.wolframalpha.com/input/?i=plot+f%28x%2Cy%2Cz%29%3D-x%2B0-z%2B2