Locate the absolute extrema of the function on the closed interval . Round your answers to four decimal places. ​

Find the relative minima of on the interval by applying the First Derivative Test. Round numerical values in your answer to three decimal places. ​

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. ​

Find the  x- values (if any) at which is not continuous. ​

Find the constant a and b such that the function ​ ​ is continuous on the entire real line. ​

Let and . Find the limit. ​ ​

Find the constant a and b such that the function ​ ​ is continuous on the entire real line. ​

Find the  x- values (if any) at which is not continuous.  ​

Find the constant a such that the function ​ ​ is continuous on the entire real line. ​

Find the limit (if it exists). Note that represents the greatest integer function. ​ ​