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MAT 232 WA1 doc.docx - Written Assignment 1 Answer all...

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Written Assignment 1Answer all assigned exercises, and show all work. Each exercise is worth 5 points.Section 5.22.Find the volume of the solid with cross-sectional areaA(x).
6.Find the volume of a pyramid of height 160 feet that has a square base of side 300 feet.These dimensions are half those of the pyramid in example 2.1. How does the volumecompare?x
16016020015( )(300)8xA x dxdxEvaluate the integral by substitution153008uxso that158dudx1600220300158(300)815Vdxu du30030033320088(300)(0)1515333uVu du389000000154,800,000VVft3338,400,00084,800,0001ftftThe new pyramid is 1/8 the volume of the original pyramid in example 2.110.A dome “twice as big” as that of exercise 9 (see text) has outline120120xyfor120120x(units of feet). Find its volume.2
12.A pottery jar has circular cross sections of radius24sinxinches for02 .xSketch apicture of the jar and compute its volume.
2204sin2xdx220168sinsin2222sin 200sin 016(2)16cos16(0)16cos222222xxdx3216001600V=33π3inch318.Compute the volume of the solid formed by revolving the region bounded by22=41
222244222xxxxx(a)Revolved about the x-axis2222222222()(4)()oiVr dxrrdxxxdx2244233232(168)()88(2 )8(2 )1616216(2)333xxxdxxx962322336423V(b) Revolved about y = 42222222222()(4)()oiVr dxrrdxxxdx2244233232(168)()88(2 )8(2 )1616216(2)333xxxdxxx962322336423V20.Compute the volume of the solid formed by revolving the region bounded by2yxand2xyabout (a) they-axis; (b)x= 1.WA 1, p. 4

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Term
Fall
Professor
WANG
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