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Examine whether Rolles theorem applies to the function f(x)=x(1-x) on the interval [0,1]show all work and steps please
Use Rolles Theorem to show that f(x) = x^3+6x-1 has only onezero and that the zero is between 0 and 1.
Show that the equation x^3+ e^x = 0 has exactly one root. (Hint: Show that there is at least one root then show that there cannot be two root by using Rolle's theorem). formulate Rolles theorem.
