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- https://math.libretexts.org/Workbench/MAT_2420_Calculus_II/02%3A_Applications_of_Integration/2.11%3A_Review_Exercises1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x...1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x, \;y=3−x, \;x=0,\) and \(x=2\) rotated around the \(y\)-axis. 25) Find the volume of the catenoid \(y=\cosh(x)\) from \(x=−1\) to \(x=1\) that is created by rotating this curve around the \(x\)-axis, as shown here.
- https://math.libretexts.org/Courses/Mission_College/Math_3B%3A_Calculus_II_(Reed)/07%3A_Applications_of_Integration/7.09%3A_Chapter_6_Review_Exercises1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x...1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x, \;y=3−x, \;x=0,\) and \(x=2\) rotated around the \(y\)-axis. 25) Find the volume of the catenoid \(y=\cosh(x)\) from \(x=−1\) to \(x=1\) that is created by rotating this curve around the \(x\)-axis, as shown here.
- https://math.libretexts.org/Courses/SUNY_Geneseo/Math_222_Calculus_2/01%3A_Applications_of_Integration/1.10%3A_Chapter_1_Review_Exercises1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x...1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x, \;y=3−x, \;x=0,\) and \(x=2\) rotated around the \(y\)-axis. 25) Find the volume of the catenoid \(y=\cosh(x)\) from \(x=−1\) to \(x=1\) that is created by rotating this curve around the \(x\)-axis, as shown here.
- https://math.libretexts.org/Courses/Mission_College/Mission_College_MAT_003B/02%3A_Applications_of_Integration/2.08%3A_Chapter_6_Review_Exercises1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x...1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x, \;y=3−x, \;x=0,\) and \(x=2\) rotated around the \(y\)-axis. 25) Find the volume of the catenoid \(y=\cosh(x)\) from \(x=−1\) to \(x=1\) that is created by rotating this curve around the \(x\)-axis, as shown here.
- https://math.libretexts.org/Courses/SUNY_Geneseo/Math_221_Calculus_1/06%3A_Applications_of_Integration/6.11%3A_Chapter_6_Review_Exercises1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x...1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x, \;y=3−x, \;x=0,\) and \(x=2\) rotated around the \(y\)-axis. 25) Find the volume of the catenoid \(y=\cosh(x)\) from \(x=−1\) to \(x=1\) that is created by rotating this curve around the \(x\)-axis, as shown here.
- https://math.libretexts.org/Courses/Chabot_College/MTH_1%3A_Calculus_I/06%3A_Applications_of_Integration/6.11%3A_Chapter_6_Review_Exercises1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x...1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x, \;y=3−x, \;x=0,\) and \(x=2\) rotated around the \(y\)-axis. 25) Find the volume of the catenoid \(y=\cosh(x)\) from \(x=−1\) to \(x=1\) that is created by rotating this curve around the \(x\)-axis, as shown here.
- https://math.libretexts.org/Courses/Mission_College/MAT_3B_Calculus_II_(Kravets)/07%3A_Applications_of_Integration/7.07%3A_Chapter_7_Review_Exercises1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x...1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x, \;y=3−x, \;x=0,\) and \(x=2\) rotated around the \(y\)-axis. 25) Find the volume of the catenoid \(y=\cosh(x)\) from \(x=−1\) to \(x=1\) that is created by rotating this curve around the \(x\)-axis, as shown here.
- https://math.libretexts.org/Courses/Lake_Tahoe_Community_College/Interactive_Calculus_Q2/02%3A_Applications_of_Integration/2.11%3A_Chapter_2_Review_Exercises1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x...1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x, \;y=3−x, \;x=0,\) and \(x=2\) rotated around the \(y\)-axis. 25) Find the volume of the catenoid \(y=\cosh(x)\) from \(x=−1\) to \(x=1\) that is created by rotating this curve around the \(x\)-axis, as shown here.
- https://math.libretexts.org/Courses/Mission_College/Math_3B%3A_Calculus_2_(Sklar)/06%3A_Applications_of_Integration/6.10%3A_Chapter_6_Review_Exercises1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x...1) The amount of work to pump the water out of a half-full cylinder is half the amount of work to pump the water out of the full cylinder. 20) The shape created by revolving the region between \(y=4+x, \;y=3−x, \;x=0,\) and \(x=2\) rotated around the \(y\)-axis. 25) Find the volume of the catenoid \(y=\cosh(x)\) from \(x=−1\) to \(x=1\) that is created by rotating this curve around the \(x\)-axis, as shown here.
