Solved: Finding a Unit Normal Vector In Exercises 58, find a unit normal vector to the

Chapter 13, Problem 7

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In Exercises 5 - 8, find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector \(\nabla F(x, y, z)\).]

Surface                                                                                 Point

\(x^{2}+3 y+z^{3}=9\)                                                             (2, -1, 2)

Text Transcription:

nabla F(x, y, z)

x^2 + 3y + z^3 = 9

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