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