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

The resistance R of a certain type of resistor is where R is measured in ohms and the temperature T is measured in degrees Celsius. Use a computer algebra system to find the critical number of the function. Round numerical values in your answer to the nearest whole number. ​

Analyze and sketch a graph of the function . ​

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. ​