Use the I.V.T and Rolle's Theorem/M.V.T to prove that the equation below has a unique solution in the associated interval. ( Justify the use any theorems) - 12x – 1= 0 [-1,0]

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Q: 2. Let f : (0, ] → R such that f(z) = r². • Show that f(x) < z. • Show that f has no fixed point on…

A: Since you have asked multiple questions, we can solve first question for you. If you want other…

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Q: Determine the interval in which solutions are sure to exist. y(4) + 6y" + 3y = t %3D Valid on the…

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A: To solve the given differential equation.

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Q: Which of the following is a general solution to the followin x²y"+xy'+ (x²– 1)y=0 y=c,(x) +cY_,(x) O…

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