Graphing Parametric Surfaces Concepts

This video tutorial demonstrates how to use three-dimensional graphing software to graph parametric surfaces. It covers the use of a 3D CAD plotter JavaScript app to graph various surfaces, including a helicoid, cone, parabolic cylinder, and paraboloid. The tutorial provides step-by-step instructions on entering parametric equations, adjusting intervals, and visualizing the surfaces. It also highlights the ability to make surfaces transparent and adjust individual axes settings.

What software is used in the video to graph parametric surfaces?

• AutoCAD

• MATLAB

• 3D CAD Plotter

• Blender

Which app is recommended for graphing due to its compatibility with most browsers?

• Java App

• Python App

• 3D CAD Plotter JavaScript App

• Flash App

What is the name of the first surface graphed in the video?

• Cylinder

• Sphere

• Helicoid

• Torus

Which component of the vector function changes to graph a cone?

• z component

• y component

• x component

• All components

What shape is formed when the second parametric surface is graphed?

• Helicoid

• Cone

• Paraboloid

• Sphere

What is the x component for the third parametric surface?

• v squared

• v times cosine u

• u

• v times sine u

What shape is created by the third parametric surface?

• Sphere

• Parabolic Cylinder

• Helicoid

• Cone

For the fourth surface, which component is squared?

• x component

• y component

• z component

• None

What is the name of the fourth surface graphed in the video?

• Cylinder

• Helicoid

• Paraboloid

• Cone

Which interval is adjusted for the fourth surface due to trigonometric functions?

• Interval for u

• Interval for z

• Interval for y

• Interval for x