1. [-/6 Points] DETAILS Find the linear approximation, L(x), of f(x) = sin(x) at x = L ( X ) = Use the linear approximation to approximate sin 12. (Round your answer to four decimal places.) 12 2. [-/6 Points] DETAILS Find the linear approximation, L(x), of f(x) = vx at x = 16. L ( X ) = Use the linear approximation to approximate v 16.4. L(16.4) = 3. [-/6 Points] DETAILS Find the linear approximation, L(x), of f(x) = 5x - x at x = 5. L ( X ) = Use the linear approximation to approximate f(5.3). L(5.3) = 4. [-/3 Points] DETAILS Use Newton's method to approximate v 7 to four consistent decimal places. 5. [-/4 Points] DETAILS Use Newton's method to approximate the positive root of x + 2x - 5 = 0 to three consistent decimal places. 6. [-/4 Points] DETAILS Use Newton's method to approximate the smallest positive root of sin(x) = e to three consistent decimal places. 7. [-/4 Points] DETAILS Use Newton's method to approximate the root of In(x) = 3 - x to three consistent decimal places. [-/5 Points] DETAILS Use Newton's method to approximate all real roots of x" - x - 2 = 0 to three consistent decimal places. (Enter your answers as a comma-separated list.)