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Can someone please help me with these problems? Question 1: Find the volume Vof the solid obtained by rotating the region bounded by the given

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Can someone please help me with these problems?

Question 1:

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Find the volume Vof the solid obtained by rotating the region bounded by the given curves about the specied line. y = 3x3, y = 3x, x 33 0; about the xaxis \fSketch the solid, and a typical disk or washer. 4 2 2 1 -0.5 0.5 L X 1.0 1.5 -0.5 -1/ 0.5 1.0 1.5 - 1A -3/ O O -3 N -0.5 85 LX 1.0 1.5 -0.5 -1 0.5 1.0 1.5 - 1 / -2/ -2 -3 O -3 OFind the volume Vof the solid obtained by rotating the region bounded by the given curves about the Specified line. y2 = 2x, x = 2y; about the yaxis Sketch the region. \"-4 '4 E 15-: 4 E 3 10: : 2 5? Sketch the solid, and a typical disk or washer. 10 6 8/ 6 4 4 2 X X -5 5 -5 5 O O 10 8/ 4 4 2 X -5 5 X O -5 5 OUse the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the yaxis. y=2x2, y=12x4x2 Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. x = 7yz, y 2 0, x = 7; about y = 2 VA fame of 10 lb is required to hold a spring stretched 2 in. beyond its natural length. Howr much work W is done in stretching it from its natural length to 8 in. beyond in; natural length? ME\

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