Show that the following equations have at least one solution in the given intervals. a

Chapter 1, Problem 1.1.1

(choose chapter or problem)

Show that the following equations have at least one solution in the given intervals. a. x cos x 2x 2 + 3x 1 = 0, [0.2, 0.3] and [1.2, 1.3] b. (x 2)2 ln x = 0, [1, 2] and [e, 4] c. 2x cos(2x) (x 2)2 = 0, [2, 3] and [3, 4] d. x (ln x)x = 0, [4, 5]

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