1. Determine the interval(s) where the function below is decreasing; f(x)= 2x3-3x2-12x+18.
2. Find the x-coordinate of the local maximum of f(x) = x3 - 2.7x2 - 2.8x. Give your answer accurate to two decimal places.
3. Find the x-coordinate of the inflection point of f(x) = x3 - 2.5x2 - 1.9x. Give your answer accurate to two decimal places.
4. Find the absolute minimum value of the following function on the interval [0,2]. Round your answer to two decimal places.