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(a) Suppose that
f(x, y) and g(x, y) are
(b) Suppose that f(x, y, z) and g(x, y, z) are differentiable at the origin and have nonzero gradients there, and that g(0, 0, 0)=0. If the maximum value of f(x,y,z) subject to the constraint g(x,y,z)=0 occurs at the origin, how is the tangent plane to the graph of the constraint g(x,y,z)=0 related to the tangent plane at the origin to the level surface of f through (0, 0, 0)?
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Chapter 13 Solutions
Calculus Early Transcendentals, Binder Ready Version
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