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monkey3444
Need math help..? Mean Value Theorem?
Can someone help me with a few true and false math problems?
1.Let f be continuous on the closed interval [ab] and differentiable on the open interval (ab), and let A=(af(a)) and B=(bf(b)). Then there is at least one point P on the graph of f where the tangent line is parallel to the secant line AB.
2.The Mean Value Theorem is a special case of Rolle's Theorem.
3.Suppose that f and g are continuous on [ab] and differentiable on (ab). If f(x)=g(x) for all x in (ab), then f and g differ by a constant.
4.If f is continuous on the closed interval [ab] and differentiable on the open interval (ab) then there is a number c in (ab) such that f(b)−f(a)=f(c)(b−a).
5.If f is differentiable on the set of real numbers and has two roots, then f has at least one root.
I have down:
1. True
2. False
3. True
4. True
5. False
Can someone tell me what I'm doing wrong?
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