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A: See the details solution in below
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A: We can solve the given problem as follows:
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A: Here is the solution
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A: I have appended the formula used in the solution part.
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- Use the intermediate value theorem to show that there is a solution to x− √ x−ln x = 0 on the interval (2, 3). Clearly explain your reasoning.Consider a differentiable function g with domain [0,infinity).Given that g'(x)=a-ex^2 with a an element of all real numbers and a>1The function has only one critical point at x2 =ln(a) .Use the Second Derivative test to identify the local extreme at x2 =ln(a) .Using Method of Undetermined Coefficients to find the complete solution of the ODE.