Find the volume generated when the region between the curves is rotated around the given axis. Use both the shell method and the washer method. Use technology to graph the functions and draw a typical slice by hand. Answer exactly. Between the curves of y = 4x, x = 0, x = 3 and y = 0 rotated around the y-axis. x= == (3888pi)/5 units Preview Use shells to find the volume of the given solid. Note that the rotated region lies between the curve and the x- axis and is rotated around the y-axis. Answer exactly. 1 y = x = 0, and x = 7 1+z21 |(pi)/2(arctan(7)+7/50) units Preview