Let f (x) = 3^3x+1 − 7 · 5^2x.

a. Use the Maple commands solve and f solve to try to find all roots of f .

b. Plot f (x) to find initial approximations to roots of f.

c. Use Newton’s method to find roots of f to within 10⁻¹⁶.

d. Find the exact solutions of f (x) = 0 without using Maple.