1. The problem asks to identify a disadvantage of the Secant Method compared to Newton's Method. 2. Recall the key characteristics: - Newton's Method requires the derivative $f'(x)$. - Secant Method approximates the derivative and does not require $f'(x)$. - Newton's Method typically converges faster (quadratic convergence). - Secant Method converges slower (superlinear but less than quadratic). - Secant Method requires two initial guesses, Newton's requires one. 3. Analyze each option: - (i) "It cannot be applied to non-linear functions." This is false; both methods apply to non-linear functions. - (ii) "It requires the computation of the derivative $f'(x)$." False; Secant Method avoids direct derivative computation. - (iii) "It converges slower than Newton's Method." True; Secant Method has slower convergence. - (iv) "It always requires two initial guesses close to the root." True; Secant Method needs two initial points. 4. The question asks for a disadvantage compared to Newton's Method. Both (iii) and (iv) are disadvantages, but the standard recognized disadvantage is slower convergence. Final answer: (iii) It converges slower than Newton's Method.