calculus 3

1. Turn in: Use Geogebra (or a graphing tool of your choice) to draw the paraboloid x + y = = . Then draw the plane = = 2y+3 . This plane will cut the paraboloid. Rotate the view so that you look directly into the xz-plane. Visually identify the shape of this intersection plane. What is its shape? Then use Algebra to solve simultaneously the 2 equations by eliminating y to exactly determine the equation for this surface. Does it agree with your Geogebra graph? Rotate the view so that you look directly into the xy-plane. Visually identify the shape of this intersection plane. What is its shape? Then use Algebra to solve simultaneously the 2 equations by eliminating z to exactly determine the equation for this surface. Does it agree with your Geogebra graph