Please neatly show all required work. Thanks

Show worl; where possible 1. Use linear approximation to estimate (2.001)6 2. Find linear approximation for f(x) = x + x4 at a = 0 22 3. Find absolute minina/maxima values for y = (x i x ) over [-1, 1] 4. Determine whether the Mean Value Theorem applies for the functions over the given interval [a, b]. 4. Determine whether the Mean Value Theorem applies for the functions over the given interval [a, b]. y = V9 x2 over [-3, 3] 5. For the following exercises, evaluate the limits with L'Hopital's rule