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True or False 1. If functions f, and g are differentiable, and have a maximum distance between the two functions at x=a, then f' (a)=

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True or False 1. If functions f, and g are differentiable, and have a maximum distance between the two functions at x=a, then f' (a)= g'(a). 2. The fact that f is an integrable function implies that there always exists a differentiable function, F(x), such that F' (x)= f(x). 3. If a function is integrable then it must be differentiable. 4. A bisection algorithm can always be used to find a root of a continuous function. 5. If f(x)

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