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Solve these problems: CAS 23-24 Use a computer algebra system to find the exact volume of the solid obtained by rotating the region bounded by
Solve these problems:
CAS 23-24 Use a computer algebra system to find the exact volume of the solid obtained by rotating the region bounded by the given curves about the specified line. 23. y = sin x, y = 0, 0 x = 1; abouty = -1 24. y = x, y = xe -*/2; about y = 3 25-26 Each integral represents the volume of a solid. Describe the solid. 25. (a) T cos- x dx (b) T ( y4 - yB ) dy 26. (a) T ydy (b) T [(1 + cos x)? - 1'] dx 2\f40. The base of S is the triangular region with vertices (0, 0), (1, 0), and (0, 1). Cross-sections perpendicular to the y-axis are equilateral triangles.41. The base of S is the same base as in Exercise 40, but cross- sections perpendicular to the x-axis are squaresStep by Step Solution
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