Calculus · Chapter 11 of 16

Applications of integrals

2 curated · 78 from open sources · 16,530 generated

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From open sources

Showing everything, including problems with no answer to check, a missing figure, or a near-copy elsewhere. Show only complete problems

#	Title	Difficulty
134259	A rectangular dam is 40 feet high and 60 feet wide	Medium
134261	A cylinder of depth … and cross-sectional area … stands full of…	Medium
134263	How much work is required to pump out a swimming pool, if…	Medium
134082	A cap of height … is cut off the top of a…	Medium
134084	The base is a disk of radius	Medium
134086	The base is the region under the parabola	Medium
134088	Cavalieri's principle for areas: If two regions have strips of equal length…	Medium
134090	Draw another region with the same slice areas as the tilted cylinder	Medium
134092	(d) The volume of the wedge is ______	Medium
134094	**The slices in 43–46 are washers	Medium
134095	The rectangle with sides … is rotated around the … axis	Medium
134097	The same rectangle is rotated around the line	Medium
134100	Find the volume common to two spheres of radius … if their…	Medium
134101	(Shells vs	Medium
134103	Yogurt comes in a solid of revolution	Medium
134105	If a roll of paper with inner radius 2 cm and outer…	Medium
134106	Use shells to find the volumes in 55–63	Medium
134107	… (around the … axis)	Medium
134143	Examples 1 and 7 were … and …, …: length …, length…	Medium
134145	The length of … from … to … is	Medium
134165		Medium
134170	Change the circle in Example 4 to … and	Medium
134219	Rectangle bounded by …:	Medium
134221	Triangle bounded by …:	Medium
134228	Rotate the triangle of Example 3 around the … axis and find…	Medium
134231	The surface area of a sphere is … when	Medium
134255	Find the work to lift the rocket in Problem 9 from …	Medium
134262	In Problem 17, compute … in both cases if … feet, …	Medium