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Find the open interval(s) on which the function is increasing in the interval . Round numerical values in your answer to three decimal places. ​

Analyze and sketch a graph of the function . ​

Sketch the graph of the relation using any extrema, intercepts, symmetry, and asymptotes. ​

Find the points of inflection and discuss the concavity of the function . ​

Analyze and sketch a graph of the function . ​

Find the point on the graph of the function that is closest to the point  . Round all numerical values in your answer to four decimal places. ​

The graph of f is shown. Graph f, f’ and f” on the same set of coordinate axes. ​ ​

Find the points of inflection and discuss the concavity of the function . ​

The sum of the perimeters of an equilateral triangle and a square is 8. Find the dimensions of the triangle and the square that produce a minimum total area. ​

A rectangle is bounded by the x- and y-axes and the graph of (see figure). What length and width should the rectangle have so that its area is a maximum? ​ ​