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Mathematics
Calculus
How does the change in area compare to the differential area element?
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[QUOTE="pixel, post: 5612507, member: 566143"] Consider the following diagram. A = xy is the area of the solid rectangle. A + dA = (x + dx) (y + dy) = xy + x dy + y dx + dx dy is the area of the larger rectangle. So from that we have dA = x dy + y dx + dx dy as you say. But if you look at the extra area beyond the solid rectangle, it can be broken up into three rectangles with areas x dy on the top left, dx dy on the top right and y dx on the right, as given by the equation for dA. [ATTACH=full]191765[/ATTACH] [/QUOTE]
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Forums
Mathematics
Calculus
How does the change in area compare to the differential area element?
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