For the function , use a graphing utility to complete the table and estimate the limit as x approaches infinity. ​ x f(x) ​

For the function , use a graphing utility to complete the table and estimate the limit as x approaches infinity. x f(x) ​

The measurements of the base and altitude of a triangle are found to be 27 and 26 centimeters. The possible error in each measurement is 0.1 centimeter. Use differentials to estimate the propagated error in computing the area of the triangle. Round 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 value of the derivative (if it exists) of the function at the extremum point . ​ ​

Determine whether the Mean Value Theorem can be applied to the function on the closed interval . If the Mean Value Theorem can be applied, find all numbers c in the open interval such that . ​

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

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. ​