The formula s= sa/6 gives the length of the side, s, of a cube with the surface area, sa. how much longer is the side of the cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters ?

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times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

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.