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mine whether the following statements are true and give an explanation or counterexample a When using the shell method the axis of the cylindrical shells

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mine 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 respect to y a Choose the correct answer below www OA False The shell method produces shells that are always perpendicular to the axis of revolution OB True The shell method always produces shells parallel to the y axis O C True The rotation of the function about the axis creates a cylindrical shape parallel to the axis O D False The rotation of the function about the axis creates a disk shape perpendicular to the axis O O

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