MATH 32A Lecture 3: Shapes/Lines in Plane

Writing a Tangent Plane

In Exercises 57 and 58, show that the tangent plane to the quadric at the point can be written in the given form.

Ellipsoid:

Tangent Plane:

Writing a Tangent Plane

In Exercises 57 and 58, show that the tangent plane to the quadric at the point can be written in the given form.

Hyperboloid:

Tangent Plane:

Finding Limits In Exercises 37-58, find the limit (if it exists). See Examples 5,6,7,9 and 11.