Now solved: 1922 TrueFalse Determine whether the statement is true orfalse. Explain your
Chapter 13, Problem 19(choose chapter or problem)
Determine whether the statement is true or false. Explain your answer.
If the tangent plane to the level surface of \(F(x, y, z)\) at the point \(P_{0}\left(x_{0}, y_{0}, z_{0}\right)\) is also tangent to a level surface of \(G(x, y, z)\) at \(P_{0}\), then \(\nabla F\left(x_{0}, y_{0}, z_{0}\right)=\nabla G\left(x_{0}, y_{0}, z_{0}\right)\).
Equation Transcription:
∇∇
Text Transcription:
F(x, y, z)
P_0(x_0, y_0, z_0)
G(x, y, z)
P_0
nabla F(x_0, y_0, z_0)=nabla G(x_0, y_0, z_0)
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