Question: Use Newton's method to find solutions accurate to within 105 to the following problems. a. x2 2xex + e2x = 0, for 0

Use Newton's method to find solutions accurate to within 10−5 to the following problems.
a. x2 − 2xe−x + e−2x = 0, for 0 ≤ x ≤ 1
b. cos(x +√2) + x(x/2 + √2) = 0, for −2 ≤ x ≤ −1
c. x3 − 3x2(2−x) + 3x(4−x) − 8−x = 0, for 0 ≤ x ≤ 1
d. e6x + 3(ln 2)2e2x − (ln 8)e4x − (ln2)3 = 0, for −1 ≤ x ≤ 0

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