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x-0-2-4-6-8-10-f-x-2-4-3-6-4-9-6-9-8-0-11-9-Given-the-curve-y-f-x-with-corresponding-values-of-f-x-at-certain-x-v

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Question Number 99278 by Rio Michael last updated on 19/Jun/20
x 0 2 4 6 8 10 f(x) 2.4 3.6 4.9 6.9 8.0 11.9 Given the curve y = f(x), with corresponding values of f(x) at certain x values. The curve y = f(x) is rotated at an angle of 2π about the x−axis. Find (1) The area of the surface generated using simpson′s rule. (2) The volume of the surface generated using simpson′s rule.
x0246810f(x)2.43.64.96.98.011.9Giventhecurvey=f(x),withcorrespondingvaluesoff(x)atcertainxvalues.Thecurvey=f(x)isrotatedatanangleof2πaboutthex−axis.Find(1)Theareaofthesurfacegeneratedusingsimpson′srule.(2)Thevolumeofthesurfacegeneratedusingsimpson′srule.

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