Find the value of c guaranted by the conclusion of the mvt

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Reference no: EM131010105

Consider the function f (x) = (x - 2)^2/3 = (³√(x -2))² shown, with f' (x) = (2/3) (x - 2)^-1/3 = 2 / 3 ³√(x - 2).

33_Function f.png

a. Circle all intervals below over which the hypothesis of the EVT is met.

[1, 10] [2, 10]

b. Circle all intervals below over which the hypothesis of the MVT is met.

[1, 10] [2, 10]

c. Consider f over [3, 10]. Find the value of c guaranted by the conclusion of the MVT. Draw the secant line through (3, f(3)) and (10, f(10)), and then the tangent line at (c, f(c)).

Reference no: EM131010105

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