Question: f(x) = sin x ln x , x > 0, where x is in radians. a. Show that f(x) = 0 has a root,

f(x) = sin x − ln x , x > 0, where x is in radians.

a. Show that f(x) = 0 has a root, α, in the interval [2.2, 2.3].

b. By considering a change of sign of f(x) in a suitable interval, verify that α = 2.219 correct to 3 decimal places.

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