Author: Anonymous

Determine whether Rolle’s Theorem can be applied to the function on the closed interval . If Rolle’s Theorem can be applied, find all values of c in the open interval such that . ​

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

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. ​

The graph of f is shown below. For which value of x is zero? ​ ​

Find a function f that has derivative  and with graph passing through the point . ​

Find the open interval(s) on which the function is increasing in the interval . Round numerical values in your answer to three decimal places. ​

Analyze and sketch a graph of the function . ​

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

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

Analyze and sketch a graph of the function . ​