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1.

Find the volume of the solid formed by rotating the region enclosed by y =In(x - 4), y = 0, x =0, y=1 about the x-axis.The region bounded by f(x) = - 4x2 + 24x + 108, x = 0, and y = 0 is rotated about the y-axis. Find the volume of the solid of revolution. Find the exact value; write answer without decimals.:l'he region bounded by f(:r:) = 33111 9;, a: = 1r, :1: = 21r, and y = 0 is rotated about the y-axis. Find the volume of the solid of revolution. Find the exact value; write answer without decimals. :] The region bounded by w = 16 + yz, a: = 0, y = 4, and y = 8 is rotated about the x-axis. Find the volume of the solid of revolution. II .1 51:: Find the exact value; write answer without decimals. :] Find the volume of the solid formed by rotating the region enclosed by y=em+4,y=0,m=0,a:=1 about the y-axis. :] Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y = 9:2 , y = 0, and :c = 4, about the y-axis. Use cylindrical shells to find the volume formed by rotating the region in the first quadrant enclosed by: y = 2 - 1.8 x - 12| and y = 0 about the y-axisRed f(x) = 6 + 4 - cos(a:) .10 Q Represent the LENGTH of x) for -3 5x: 4 as a definite integral 4 3 Then use your calculator to evaluate the integral as a decimal number (rounded to 2 decimal places). Use sqrt(1+x"3) for V 1 + 9:3 Remember: for trig functions you must be in radian mode