Exercises 71-74 are about the infinite regionbetween the curve y = e* and the x-axis.71. Find the area of the region.72. Find the centroid of the region.73. Find the volume of the solid generated byabout the y-axis.74. Find the volume of the solid generated byabout the x-axis.in the first quadrantrevolving the regionrevolving the region

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Answered: Exercises 71-74 are about the infinite…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section10.8: Volumes Of Pyramids And Cones

Problem 13E

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In Exercises 47–50, find the volume of the solid generated by revolv-ing each region about the y-axis. 47. The region enclosed by the triangle with vertices (1, 0), (2, 1), and (1, 1) 48. The region enclosed by the triangle with vertices (0, 1), (1, 0), and (1, 1) 49. The region in the first quadrant bounded above by the parabola y = x2, below by the x-axis, and on the right by the line x = 2 50. The region in the first quadrant bounded on the left by the circle x2 + y2 = 3, on the right by the line x = sqrt(3), and above by the line y = sqrt(3).
23- Find the volume produced by rotating the region bounded by the line y = x ^ 3 from the left, x = 2 from the right, and the x-axis from the bottom around the y-axis in the first quarter.A) 32π / 5B) 96/5C) 20πD) 64π / 5E) 4π
In Exercises 31–32, find the volumes of the solids generated by revolving the regions about the given axes. If you think it would be better to use washers in any given instance, feel free to do so. 31. The triangle with vertices (1, 1), (1, 2), and (2, 2) about a. the x-axis b. the y-axis c. the line x = 10/3 d. the line y = 1 32. The region bounded by y = srqt(x), y = 2, x = 0 about a. the x-axis b. the y-axis c. the line x = 4 d. the line y = 2
The region in the first quadrant that is enclosed by the x-axis, the curve y = 5/{x√(5 - x)}, and the lines x = 1 and x = 4 is revolved about the x-axis to generate a solid. Find the volume of the solid.
Gabriel's horn is an infinite solid that is formed by taking the region enclosed by the curves y = 1/ (x3/4), x = 1, and the x-axis. Find the volume of the solid obtained by rotating the region about the x axis. (Or state that it's divergent).
A solid is generated by revolving the region bounded by y = √ 9 - x2) and y = 0 about the y-axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-third of the volume is removed. Find the diameter of the hole?
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find the center of mass of a thin plate of constantdensity d covering the given region. The region bounded by the x-axis and the semicircle y = √9 - x2
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i'm sorry but i could not see this answer clearly, may this be re-done? Find the volume of the solid generated by revolving the region bounded by the graphs of the equationsabout the x-axis. Express the result as an exact value. y=9-x2 , y=x+3
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