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The equation 4 = 2xy^3 - xyz is a level surface in 3-dimensional space. A person...

The equation 4 = 2xy^3 - xyz is a level surface in 3-dimensional space. A person is standing on this surface, at the point (1, 2, 6).
a. Write the function f for which the above surface is a level surface, and find the gradient of this
function f. What meaning does the gradient have for the person?
b. Find an equation for the tangent plane to this surface at the point (1, 2, 6).
c. Find the equations of the normal line to this surface at the point (1, 2, 6).
Math   Calculus   
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