1.

i Use the shell method to find the volume of the solid generated by revolving the shaded region about the y-axis. X y=24x2+1 6- x = fa The volume is (Type an exact answer, using it as needed.) 2-Find the coordinates of the centroid of the region bounded by y = 49x and y = 2. The region is covered by a thin, flat plate. What are the coordinates of the centroid? Type an ordered pair.)26.5.11 Find the radius of gyration of a plate covering the region bounded by y = 3x", x=3, and the x-axis with respect to the y-axis. Ry =_The electric current i (in A) as a function of the time t (in s) for a certain circuit is given by i= 3t -1". Find the average value of the current with respect to time for the first 3.0 s. The average value of the current with respect to time is. (Type an integer or decimal rounded to one decimal place as needed.)The length of arc s of a curve from x = a to x = b is given by the formula s = dx. The cable of a bridge can be described by the equation y = 0.24x" from x =0 to x= 100 ft. Find the length of the cable. 100 ft s = feet