B.+Duncan

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How would the volumes differ if it was rotated around the y-axis as opposed to the line y=1? Give a detailed reason for your answer.
Rotating around the y-axis would form a cone-shaped solid that would have a smaller volume as compared to rotating around the y=1. MC

Would the volume of the figure become bigger or smaller if the line the region was generated around was y=-2? Why?
It would make it smaller because you have a smaller radius.

What would you have to do differently if you integrate from -pi/4 to pi/4 of the solid bounded by the curve y=tanx, the yaxis and the xaxis, rotated around the x-axis? Explain in detail.
You would have to change the limits of integration to -π/4 to π/4, and you wouldnt use the washer method. The integral would instead be π(Tanx)^2dx from - π /4 to π /4 SL