please solve

2. Sketch the graph of a function f that is continuous on [0, 6] and has the given properties: absolute maximum at x = 0, absolute minimum at x = 6, local minimum at x = 2, and local maximum at x = 4. Find the absolute maximums and absolute minimums of f on the given closed interval by using the Candidates Test, and state where these values occur. 3. f (x) =4x2- 4x+1 [0, 2] 6. f (x) = sin x -cosx [0, 7] X 4. f ( x ) = - 72 + 2 [-1, 4 ] 7. f (x) =2x -6 [-1, 5] 5. f (x) = x/3 ( 20-x) [-1, 20 ] 8. What is the smallest possible slope to y =x' -3x2 +5x -1 on [-2, 3]? 9. A particle moves along a straight line according to the position function s (t)=4 -413 + 612 -20. Find the maximum and minimum velocity on [0, 3] . For what values of t do the maximum and minimum occur? Remember that velocity is the derivative of position