Shell Method, Work, and Exponential Functions_MATH1910_Russell_Tsai_Week4_Solutions (1)

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MATH 1910 AEWM 2:30-4:25 Week 3Roddy Russell (rer247) & Kevin Tsai (kt394)1)Volumes of Rotation – Shells:Use the shell method to find the volumes of the following rotations:a) The region under the curve y=1x24from x = 0 to x = 2 rotated about the y-axisb) The region between the lines x=3y2, x = 3, and y=3rotated about the x-axis+
2)Volumes of Rotation:Find the volume of the revolution obtained by rotating the region under the curve y = x2+1 between x = 0 and x = 1:a) about the x-axisb) about the y-axis
MATH 1910 AEWM 2:30-4:25 Week 3Roddy Russell (rer247) & Kevin Tsai (kt394)b)We find the volume of the solid obtained by rotating about the y-axis using the Shell Method. In

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