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Calculus · Studypool

Georgia Military College Calculus Questions

Post ID: 2874390

Overview

I just need to help me write out step-by-step, the answers to the equations, but I will give the six questions to the selected tutor. All of these questions are based on calc 2 

these are some example questions 

Find the volume of the solid generated by revolving the region bounded by y = x2, y = 0, and x = 2 about the x-axis.

Find the volume of the solid generated by revolving the region bounded by y = e?x, y = 0, x = 0, and x = 1 about the x-axis.

  1. Find the volume of the solid generated by the region in the first quadrant bounded above by y = 2 and belowbyy=2sinxbetween0?x??2 revolvedabouttheliney=2.
  2. Find the volume of the solid generated by revolving the region bounded by x = ?5y2, x = 0, y = ?1, and y = 1 about the y-axis.
  3. Find the volume of the solid generated by revolving the region bounded by x = p2sin(2y) from0?y??2 andx=0aboutthey-axis.
  4. Find the volume of the solid generated by revolving the region bounded by y = 2
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  6. x, y = 2, and x = 0 14. Find the volume of the solid generated by revolving the region bounded by y = x2 + 1 and y = x + 3

about the x-axis. about the x-axis.

Find the volume of the solid generated by revolving the region bounded by y = sec x, y = tan x, x = 0, and x = 1 about the x-axis.

Find the volume of the solid generated by revolving the triangle with vertices at (1, 0), (2, 1), and (1, 1) about the y-axis.

Find the volume of the solid generated by revolving the region bounded in the first quadrant by y = x2, y = x, and x = 2 about the y-axis.

Using the shell method, determine the volume of the solid generated by revolving the region bounded by y = x, y = ?x2 , and x = 2 about the y-axis.

Using the shell method, determine the volume of the solid generated by revolving the region bounded by y = 2 ? x, y = x2, and x = 0 for x ? 0 about the y-axis.

Using the shell method, determine the volume of the solid generated by revolving the region bounded by x = y2, x = ?y, and y = 2 for y ? 0 about the x-axis.3

  1. Findthearclengthofy=x2 fromx=0tox=4.
  2. Findthearclengthofy=ln(x)?x2 where1?x?2. 8
  3. Findthearclengthofy=x3 + 1 on[1,3]. 3 4x
  4. ?
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