2. [14.1: Functions of Several Variables] Match the functions z = f(x,y) with the surfaces representing their graphs. Provide a written explanation for your answers. (The origin is in the middle of each box. The figures only show that portion of the surface that is inside a box.) (a) f(x,y) = x² + y² (b) f(x, y) = x² +x³y² (c) f(x,y) = (x² – y²) exp(-x² – y²) (d) f(x, y) = sin(x² + 2y²) (e) f(x,y) = x² exp(-x²) – exp(-y²) (f) f(x,y) = x - y

Question
2. [14.1: Functions of Several Variables] Match the functions z = f(x,y) with the surfaces
representing their graphs. Provide a written explanation for your answers. (The origin is
in the middle of each box. The figures only show that portion of the surface that is inside a
box.)
(a) f(x,y) = x² + y²
(b) f(x, y) = x² +x³y²
(c) f(x,y) = (x² – y²) exp(-x² – y²)
(d) f(x, y) = sin(x² + 2y²)
(e) f(x,y)
= x² exp(-x²) – exp(-y²)
(f) f(x,y) = x - y
Expand
Transcribed Image Text

2. [14.1: Functions of Several Variables] Match the functions z = f(x,y) with the surfaces representing their graphs. Provide a written explanation for your answers. (The origin is in the middle of each box. The figures only show that portion of the surface that is inside a box.) (a) f(x,y) = x² + y² (b) f(x, y) = x² +x³y² (c) f(x,y) = (x² – y²) exp(-x² – y²) (d) f(x, y) = sin(x² + 2y²) (e) f(x,y) = x² exp(-x²) – exp(-y²) (f) f(x,y) = x - y

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