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Find the Value(s) of C guaranteed by the Mean Value Theorem for Integrals for f(x) =x^3 in the interval [0,3]

1 answer

f(3) = 27
f(0) = 0
so, the slope of the secant line is 27/3 = 9

So, you need

3c^2 = 9
c = √3

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