Max wants to decorate a 2-inch border around the edge of a poster he is making. he drew this diagram to show how it should look. how many square inches of border will max decorate? two rectangles, one lying completely within the other. the area between the rectangles is shaded. two adjacent sides of the larger are labeled eighteen inches and twelve inches. the shaded area is labeled 2 inch border.

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step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.