g Find the measurements of a rectangle that is inscribed in a right triangle with two legs measured 3 (for the vertical side) and 4 (for the horizontal side) such that this rectangle will have a maximum area. (Ans: 2 by 1.5 units long)

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Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?

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