In Exercises 55 and 56, (a) find the gradient of the function at (b) find a unit normal

Chapter 13, Problem 55

(choose chapter or problem)

In Exercises 55 and 56, (a) find the gradient of the function at P, (b) find a unit normal vector to the level curve f(x, y) = c at P, (c) find the tangent line to the level curve f(x, y) = c at P, and (d) sketch the level curve, the unit normal vector, and the tangent line in the xy-plane.

\(f(x,\ y)=9x^2-4y^2\)

c = 65,   P(3, 2)

Text Transcription:

f(x, y) = 9x^2 - 4y^2

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