Find the unit normal vector to the surface ^3 + ^3 = at (1,1,2).
Added by Paula S.
Step 1
First, we need to find the gradient vector of the surface at the given point (1,1,2). Gradient vector = (∂f/∂x, ∂f/∂y, ∂f/∂z) Here, f(x,y,z) = x^3 + y^3 - z^3 So, ∂f/∂x = 3x^2 = 3(1)^2 = 3 ∂f/∂y = 3y^2 = 3(1)^2 = 3 ∂f/∂z = -3z^2 = -3(2)^2 = -12 Show more…
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