Determine the x-coordinate(s) of any relative extrema and inflection points of the function . ​

Find all points of inflection, if any exist, of the graph of the function . Round your answers to two decimal places. ​

For the function : ​ (a) Find the critical numbers of f (if any); (b) Find the open intervals where the function is increasing or decreasing; and (c) Apply the First Derivative Test to identify all relative extrema. ​ Then use a graphing utility to confirm your results. ​

A container holds 6 liters of a 25% brine solution. A model for the concentration C of the mixture after adding x liters of an0.88 % brine solution to the container and then draining x liters of the well-mixed solution is given as . Find . Round your answer to two decimal places. ​

The radius of a spherical balloon is measured to be 8 inches, with a possible error of 0.08 inch. Use differentials to approximate the maximum possible error in calculating the volume of the sphere. Round your answer to two decimal places. ​

Use a graphing utility to graph the function and locate the absolute extrema of the function on the interval . ​

Analyze the graph of the function . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below. ​

A company introduces a new product for which the number of units sold S is  where t is the time in months since the product was introduced. Find the average value of  during the first year. ​

The radius of a spherical balloon is measured to be 8 inches, with a possible error of 0.08 inch. Use differentials to approximate the maximum possible error in calculating the volume of the sphere. Round your answer to two decimal places. ​

A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when using the relation . Round your answer to one decimal place.   0 5 10 15 20 ​ ​