Suppose (x, y) is continuous and nonnegative over a region R in the plane with a defined

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Suppose ƒ(x, y) is continuous and nonnegative over a region R in the plane with a defined area A(R). If ∫∫R ƒ(x, y) dA = 0, prove that ƒ(x, y) = 0 at every point (x, y) ε R.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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