Author: Anonymous

Compare dy and for at  with . Give your answers to four decimal places. ​

Sketch a graph of the function over the interval . ​

Find the point on the graph of the function that is closest to the point  . Round all numerical values in your answer to four decimal places. ​

The total stopping distance T of a vehicle is where T is in feet and x is the speed in miles per hour. Use differentials to approximate the percent change in total stopping distance as speed changes from to miles per hour. Round your answer to one decimal place. ​

Find the point on the graph of the function that is closest to the point  . Round all numerical values in your answer to four decimal places. ​

The graph of f is shown. Graph f, f’ and f” on the same set of coordinate axes. ​ ​

Analyze and sketch a graph of the function . ​

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

A rectangle is bounded by the x- and y-axes and the graph of (see figure). What length and width should the rectangle have so that its area is a maximum? ​ ​

A rectangle is bounded by the x- and y-axes and the graph of (see figure). What length and width should the rectangle have so that its area is a maximum? ​ ​