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  3. let f(x) be differentiable on the interval [a,b].

Let f(x) be differentiable on the interval [a,b]. Select all of the following statements which must...

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Basic Math

Let f(x) be differentiable on the interval [a,b]. Select all ofthe following statements which must be true.

1. f(x) must attain its maximum value on the interval [a,b]

2. There is some number c in the interval (a,b) such that f?(c)=(f(b)?f(a))/ (b?a)

3. f(x) is integrable on [a,b].

4. f(x) is continuous on (a,b).

5. f(x) is a polynomial.

6. f(x) is an increasing function.

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