- #1

Marioqwe

- 68

- 4

## Homework Statement

1.Find the equation of the tangent plane at p=(0,0) on the surface z=f(x,y)=√(1-x²-y²)

p is a vector.

2.Give an intuitive geometric argument to support the result

## Homework Equations

## The Attempt at a Solution

So I have no problem finding the equation of the tangent line. I am supposed to use the gradient to find it. But I don't really understand the second question. What is a geometric argument?

Is it correct if I justify my answer by saying that the tangent plane is locally linear at p? Is that a geometric argument?

Somehow, I feel that it is just not enough.

Don't give me the answer please. Just a hind of what it means by "geometric argument."

Thank You