Mathematics
Mathematics, 11.10.2019 21:00, Bubba06

There are two numbers that is equal to 52.2 is less than. whats is the answer

answer
Answers: 3
Answer
answered: Guest
Answer

1 number

explanation

if we use a graphing calculator, there is only one such number c\in[0.5,0.75] that satisfies the conclusion of the mean value theorem, that is, a number c\in[0.5,0.75] such that

  f'(c) = \dfrac{f(0.75) - f(0.5)}{0.75-0.5},

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.

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