Use Newton's method to find solutions accurate to within 105 to the following problems. a. 1

Question:

Use Newton's method to find solutions accurate to within 10−5 to the following problems.
a. 1 − 4x cos x + 2x2 + cos 2x = 0, for 0 ≤ x ≤ 1
b. x2 + 6x5 + 9x4 − 2x3 − 6x2 + 1 = 0, for −3 ≤ x ≤ −2
c. sin 3x + 3e−2x sin x − 3e−x sin 2x − e−3x = 0, for 3 ≤ x ≤ 4
d. e3x − 27x6 + 27x4ex − 9x2e2x = 0, for 3 ≤ x ≤ 5