Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 20 (0, 0, 5)(a) the tangent plane(b) the normal line
Added by Alex A.
Step 1
To find the gradient of the surface x + y + z = 20, we need to find the partial derivatives of x, y, and z with respect to x, y, and z respectively. ∂(x + y + z)/∂x = 1 ∂(x + y + z)/∂y = 1 ∂(x + y + z)/∂z = 1 Therefore, the gradient of the surface at any point is Show more…
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