Let R be the region in true rst quadrant enclosed by the graphs of x): 4'; 900 = x + 2 am y = 0, as shown in the gure. What is the volume oi the solid generated when R is rotated about the xaxis? A! Find the volume of the solid formed by revolving the region bounded by the graphs of y = x-, x = 3, and y = 0 in quadrant I about the y-axis. O 9TT O 18TT O 81x 2 O 45 /T 2Let R be the region bounded by the graphs of f(x) = vx, g(x) = x-, as shown in the figure. What is the integral expression for the volume of the solid generated when R is rotated about the vertical line x = 4? 5 V 3 2 04 X -1 -2 1 0 1 2 3 4 5 6 Oxid (4 - Jy)2 - (4 - 42)2 ]dy O x 10 / 14 - 1 2 ) 2 - 14 - Vy) 2 ]dy Oxid [ 14 - VX) 2 -(4- x 2 )2 Jax Ox: 10 14 - * 2) 2 - (4 - Vx) 2 FoxLet R be the region in the first quadrant bounded by the graphs of y = vx, x = 4, and the x-axis. What is an integral expression for the volume of the solid generated when R is rotated about the y-axis? Orth (16 - y2) dy On Jo (16 - y2 ) dy Omg ( 16 - y4 ) dy On (16 -y* ) dy