5. Suppose that we have a function f(x, y) and a point P = (a, b) in the domain where ) and = 0. Then the tangent plane Tpf at P is parallel to what well-known = 0 plane? Prove your claim (a picture is not sufficient... recall how we define two planes being parallel algebraically in terms of some important vectors in order to write a good proof).

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5.
Suppose that we have a function f(x, y) and a point P
a, b) in the domain where
af
= 0 and .
Then the tangent plane Tpf at P is parallel to what well-known
ду
plane? Prove your claim (a picture is not sufficient... recall how we define two planes being
parallel algebraically in terms of some important vectors in order to write a good proof).
Transcribed Image Text:5. Suppose that we have a function f(x, y) and a point P a, b) in the domain where af = 0 and . Then the tangent plane Tpf at P is parallel to what well-known ду plane? Prove your claim (a picture is not sufficient... recall how we define two planes being parallel algebraically in terms of some important vectors in order to write a good proof).
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