Interchange and g in Equation (10) to obtain a similar formula. Then subtract this formula from

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Interchange ƒ and g in Equation (10) to obtain a similar formula. Then subtract this formula from Equation (10) to show thatimage


This equation is Green’s second formula.


Data from Exercise 29


Suppose that ƒ and g are scalar functions with continuous first- and second-order partial derivatives throughout a region D that is bounded by a closed piecewise smooth surface S. Show thatimage


Equation (10) is Green’s first formula.

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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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