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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.1 Surfaces and Level Curves, #25 · Multivariable Calculus · Partial derivatives

The graph of … is a ______-dimensional surface in … space

The graph of $w = F (x, y, z)$ is a ______-dimensional surface in $x y z w$ space. Its level sets $F (x, y, z) = c$ are ______-dimensional surfaces in $x y z$ space. For $w = x - 2 y + z$ those level sets are ______. For $w = x^{2} + y^{2} + z^{2}$ those level sets are ______.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.1 Surfaces and Level Curves, #25

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