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Step-by-step explanation:

Can I have Brainliest? I hope this helped and have a nice day!!!

Work:

64 / 2 = 32

3/4 / 2 = 3/8

3/4 = 6/8

6/8 / 2 = 3/8

Final answer 32 3/8

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.