Determine whether the following statements are true and give an explanation or counterexample a When using the shell method the

Question

Determine whether the following statements are true and give an explanation or counterexample a When using the shell method the axis of the cylindrical shells is parallel to the axis of revolution b If a region is revolved about the y axis then the shell method must be used c If a region is revolved about the x axis then in principle it is possible to use the disk washer method and integrate with respect to x or the shell method and integrate with res y a Choose the correct answer below www OA False The shell method produces shells that are always perpendicular to the axis of revolution B True The shell method always produces shells parallel to the y axis C True The rotation of the function about the axis creates a cylindrical shape parallel to the axis D False The rotation of the function about the axis creates a disk shape perpendicular to the axis b Choose the correct answer below OA True Any time a function is revolved about an axis the shell method must be used OB False The shell method can only be used when a region is revolved about the x axis OC True Then the axis of the cylindrical shells is parallel to the y axis O D False The disk washer method may be used by integration with respect to y Final chec

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