4. 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. (a) x47 + 8x – 2 = 0 [0, 1] (b) [-1, 0] 100 + 6x + 2 = 0

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Q: %3D a) Uxx + 2uxy + uyy + Ux -Uy = 0. + Uyy

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Q: The function f(x) = (6x+5)e^4x has one critical number. X= ?

A: Proceed as shown below...