MATH-1428 Study Guide - Midterm Guide: Floor And Ceiling Functions, Maxima And Minima, Farad

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Provide a generalization to each of the key terms listed in this section. The distance formula is the general distance between two points where p1 = (x1, y1) and p2 = (x2, y2) and noted by the following formula: d = d (p1, p2) = q(x2 x1)2 + (y2 y1)2. The midpoint formula is the midpoint, which is m = (x, y), of the line segment from the two points, which are p1 = (x1, y1) and p2 = (x2, y2) and noted by the following formula: M = (x, y) = (cid:18) x1 + x2. When every x-value in its given domain is also in their respective x-values: f ( x) = f (x) and (x, y) ( x, y) If f "s a continuous function with a domain being in a closed interval of [a, b], then f "s going to have both an absolute maximum and an absolute minimum on [a, b].