I know how to use them both but I am unsure of when it is easier to uaw them.... Is it true that it is easier to use the Shell Method when rotating about the Y-axis and easier to use the Washer Method when rotating about the X-axis?
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when the dependent variable and the axis parallel to the axis of rotation are the same, use the washer method.
when the dependent variable and the axis parallel to the axis of rotation aren't the same, use the shell method.
when the dependent variable and the axis parallel to the axis of rotation aren't the same, use the shell method.
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If y = f(x) and you are revolving it about the x-axis, then the Washer Method (or Disk Method) is easier. When you are revolving it about the y-axis, then the Shell Method is easier.
If x = f(y) and you are revolving it about the x-axis, then the Shell Method is easier. When you are revolving it about the y-axis, then the Washer Method (or Disk Method) is easier.
If x = f(y) and you are revolving it about the x-axis, then the Shell Method is easier. When you are revolving it about the y-axis, then the Washer Method (or Disk Method) is easier.