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Continuity and the derivative: 1A) Show that there exists a real root of the equation in...

Continuity and the derivative:

1A) Show that there exists a real root of the equation in this interval: cos(root x) = e^x-2 [0.1]

1B) If f(x) is a continuous function (on the reals) that has only one root at x=2, and if f(4)>0, can f(3)<0? Explain.

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