Question: Use the method of cylindrical shells to
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves about the given axis.
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> Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves about the given axis. у —е", х — 0, у — 3;B about the х-ахis
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> Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves about the given axis. у —е", у— 0, х — —1, х — 0; about x— 1 %3D
> Find the area of the surface obtained by rotating the given curve about the x-axis. x = 2 + 3t, y = cosh 31, 0<i<1
> Find the area of the surface obtained by rotating the given curve about the x-axis. x = 4 T, y=+, x = 4 /t, y=- 3 212"
> Find the length of the curve. r= sin'(0/3), 0< 0<
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> Evaluate the integral.
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> Find the length of the curve. x = 312, y = 21°, 0<t<2
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> Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves about the given axis. у —е", у—е", х — 1;B about the y-аxis
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> Find the volume obtained by rotating the region bounded by the curves about the given axis. у — sin x, у — 0, п/2 <x< п; about the x-axis
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> Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function. y - sec x
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> Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function. y = e * cos x
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> Express the number as a ratio of integers. 10.135 = 10.135353535 ...
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> Use a graph to find approximate x­ coordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves. y = arcsin n(4x), у — 2 — х?
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> Use series to evaluate the limit. Vī +x - 1 - }x lim x?
