A.6.15.1 Notice and Wonder: Two Sets of Equations

What do you notice? What do you wonder?[br][br]Set 1:           Set 2:[br][img]data:image/png;base64,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[/img][br]
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Information: A.6.15.1 Notice and Wonder: Two Sets of Equations