WA1 assignment sheet_MAT-232_nina.3fullPDF.pdf - Name Nina...

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WA 1, p. 1 Name: Nina Odunlami University ID: 0653999Thomas Edison State University Calculus II (MAT-232) Section no.: 2018NOV MAT-232-OL011 2018NOV Calculus II (MAT-232-OL011) Semester and year: NOVEMBER 2018 Written Assignment 1 Answer 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 area A(x).0.01( )10, 010xA xex( )baVA x dx100.01010xVedx100.01010xVedx0.0110010|xex10 0.01(10)10e0.110e= 11.05170918 x0 0.01(0)10e010e= 10 11.05170918 10 = 1.05170918 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 volume compare? 300030030150160160168   15( )3008f xx ( )baVA x dx16020151(300)8Vxdxu=153008xdu= 158dx815dx integration by partsudvuvvdu
10.A dome “twice as big” as that of exercise 9 (see text) has outline 120120xyfor 120120x(units of feet). Find its volume.2
12.A pottery jar has circular cross sections of radius 24sinxinches for 02 .xSketch a picture of the jar and compute its volume.
WA 1, p. 3 220(164sin4sinsin)222Vxxxdx220(168sinsin)22Vxxdx20(1616 cos1(sin( )) |22xxxx20(1616 cos11sin( )) |222xxxx20(33116cossin) |222xxxx2= (2)33(2 )(2 )116cossin()222331687.67255757x0 = (33(0)(0)116cossin(0))222= 16 2(3316)16(3332)333218.Compute the volume of the solid formed by revolving the region bounded by 22,4yxyxabout (a) the x-axis; (b) y= 4.a.)2( )baVf x22222222(4)()Vxdxxdx222(168)Vxdx3228(16) |3xxx238(2)(16(2))33821623= 47.39075134 x238(2)(16(2))33821623= -47.39075134 47.39075134- (-47.39075134) = 94.78150268 b.)b.) 2( )baVf x22222222(4)()Vxdxxdx222(168)Vxdx3228(16) |3xxused u-substitution
WA 1, p. 4 x238(2)(16(2))33821623= 47.39075134 x238(2)(16(2))33821623= -47.39075134 47.39075134- (-47.39075134) = 94.78150268 20.Compute the volume of the solid formed by revolving the region bounded by 2yxand 2xyabout (a) the y-axis; (b) x= 1. a.)( )baVA x dx1122200

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