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Which of the following functions passes through the point and satisfies ? ​

A rectangular page is to contain 36 square inches of print. The margins on each side are 1 inch. Find the dimensions of the page such that the least amount of paper is used. ​

Use the graph of the function given below to estimate the open intervals on which the function is increasing or decreasing. ​ ​

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 23 cubic centimeters. Find the radius, r, of the cylinder that produces the minimum surface area. Round your answer to two decimal places. ​

Use differentials to approximate the value of . Round your answer to four decimal places. ​

The height of an object t seconds after it is dropped from a height of 500 meters is . Find the time during the first 4 seconds of fall at which the instantaneous velocity equals the average velocity. ​

Locate any relative extrema and inflection points of the function . Use a graphing utility to confirm your results. ​

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

Find the open interval(s) on which is increasing or decreasing. ​

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