Consider the surface (x, y) = x + y (see figure) and the surface area of f
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Consider the surface ƒ(x, y) = x² + y² (see figure) and the surface area of f over each region R. Without integrating, order the surface areas from least to greatest. Explain.
(a) R: rectangle with vertices (0, 0), (2, 0), (2, 2), (0, 2)
(b) R: triangle with vertices (0, 0), (2, 0), (0, 2)
(c) R = {(x, y): x² + y² ≤ 4, first quadrant only}
Transcribed Image Text:
-2 X N 2 2
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