Question: Please answer all questions showing all work for thumbs up! 1. (10 points) For the following function, find the intervals of increase and decrease; local

Please answer all questions showing all work for thumbs up! 1.

Please answer all questions showing all work for thumbs up!

1. (10 points) For the following function, find the intervals of increase and decrease; local maxima and minima; intervals of concavity; and points of inflection. Sketch a graph of the function, labelling any local maxima and minima, and inflection points. f(x)=-x3+6x2-9x-1 2. (10 points) Suppose you have to fence two rectangular fields with the same dimensions, with one side in common, using 180 meters of fencing. Find the dimensions of the rectangles so that the total fenced area is maximum. L L W M W L L 3. (10 points) Evaluate the following limits and simplify your answer: (a) limx-+00 3x 3 +4x4+1) x2 +sin(3x) (b) limx-0 1-e3

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