Search this book Q AA 125. y = sina , x = 0, and x = VT 126. y = VIX = 0, and x = ; 127. y = Vx, x = 0, and x = 1 128. y = (1+ x2), x = 0, and x = 1 129. y = 5x3 - 2x4, x = 0, and x = 2 For the following exercises, use shells to find the volume generated by rotating the regions between the given curve and y = 0 around the r-axis. 130. y = V1 - x2, x =0, x = 1 and the x-axis 131. y = x2, x = 0, x = 2 and the x-axis 132. y = ?, x = 0, x = 2, and the x-axis 133. y = -2' 2, x =1, x = 2, and the x-axis 134. x = = 1+y2: y = 1, and y = 4 135. x = 1+y2 y : y = 1, y = 4, and the y-axis 136. x = cos y, x = 0, and y = 137. x = y3 - 2y', x =0, x=9 138. x = Vy +1, x =1, x = 3, and the x-axis 139. x = /27yand x = y For the following exercises, find the volume generated when the region between the curves is rotated around the given axis. 140. y = 3 - x, y = 0, x = 0, and x = 2 rotated around the y-axis.138.3; : +1,3: = 1, a: = 3, and thexaxis - gr: 2 ,3/27yand a = if For the following exercises, find the volume generated when the region between the curves is rotated around the given axis. 140. y = 3 may 2 0: a: = 0, and a: = 2 rotated around the yaxis. 1 1. y = 3:31;: : l]3 andy : 8 rotated around the grands. 142. y : 322,3; : at, rotated around the yaxjs. _; (.0 .y : Jig; : 0, and .1: = l rotated around the lines; = 2. 144. y : 41333" : 1, a: = 2.3de = 0 rotated around the line a: = 4. 1 5. y : end y = 3:2 rotated around the yaads. 146. y : end y = 11:2 rotated around the line a: = 2. l y,:c : 1, and it: = 2 rotated around the xaxis. 1 7. .1: : 493,2: : 148. a." = y? andy = a: rotated around the line y = 2. 1 E3. [T] Left of 3* = Sill (y) , right of y = :13, around the yaxjs. For the following exercises, use technology to graph the region. Determine which method you think would be easiest to use to calculate the volume generated when the function is rotated around the specified axis. Then, use