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Find the center of mass of the given system of point masses.   mi 10 8 10

Use the disk or shell method to find the volume of the solid generated by revolving the region in the first quadrant bounded by the graph of the equation about the given line. (i) the x-axis; (ii) the y-axis  

The figure is the vertical side of a form for poured concrete that weighs 140.7 pounds per cubic foot. Dimensions in the figure are in feet. Determine force on this part of the concrete form  

Use the shell method to set up and evaluate an integral that gives the volume of the solid generated by revolving the plane region about the y-axis.  

Evaluate using the formula where k is a real number, n is a positive integer, and .  

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

Use the following graph of to sketch a graph of f. ​ ​

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

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

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. ​