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PLEASE I NEED HELP WITH THESE QUESTIONS 3 ) A Solid is obtained by rotating the shaded region about the specified line all set up

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PLEASE I NEED HELP WITH THESE QUESTIONS

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3 ) A Solid is obtained by rotating the shaded region about the specified line all set up an integral using the method of cylindrical Shells For the volume of the solid . by Evaluate the integral to find the volume of the Integral . About the y - axis 4= cos( x " ) ->x " use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curve about the y- axis y = H - x , y =x 5use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curre about the x- axis . xy = 1 x = D y = 1, y=3the region shown in the gure is rotated about the y-axis to form a solid, use the Midpoint Rule with n = 5 to esti mate the volume of the solid. .The table shows values of a force function f (x), where x is measured in meters and f (x) in newtons. Use the Midpoint Rule to estimate the work done by the force in moving an object from x = 4 tox = 20. \"M\" "nun III-III\" @ force of 10 lb is required to hold a spring stretched 4 in. beyond its natural length. How much work is done in stretch- ing it from its natural length to 6 in. beyond its natural length? 61) use cylindrical shells to find the volume of the sold . A sphere ofradius rQ9 variable force of 4J1? newtons moves a particle along a the straight path when it is x meters from the origin. Calculate work done in moving the particle from x = 4 to x =.. 16

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