(Solution) - Use Newton s method to find solutions accurate to within 10 5 -(2025 Original AI-Free Solution)

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Use Newton's method to find solutions accurate to within 10?5 for the following problems.
a. ex + 2?x + 2 cos x ? 6 = 0 for 1 ? x ? 2
b. ln(x ? 1) + cos(x ? 1) = 0 for 1.3 ? x ? 2
c. 2x cos 2x ? (x ? 2)2 = 0 for 2 ? x ? 3 and 3 ? x ? 4
d. (x ? 2)2 ? ln x = 0 for 1 ? x ? 2 and e ? x ? 4
e. ex ? 3x2 = 0 for 0 ? x ? 1 and 3 ? x ? 5
f. sin x ? e?x = 0 for 0 ? x ? 1 3 ? x ? 4 and 6 ? x ? 7