(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Answers in the back of the book

about x-axis= 190

about y-axis= 828

2. Relevant equations

Simpson's Rule: (dx/3)* sum of(sequence of coefficients {1,4,2....2,4,1}*sequence of function values{f(0), f(1), f(2).....f(n-2),f(n-1), f(n)})

Volume using Shells: 2π ∫ (radius)(height) dx

Volume using Cross-Sections: π ∫ (outer radius)^2 - (inner radius)^2 dx

3. The attempt at a solution

I found the area (≈) under the curve using Simpson's law, how do i rotate it without a given f(x)? The book doesn't ask for the specific method (either shells or cross-sections), but I'd like to understand how to do both. Please help.

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# Homework Help: Simpson's Rule to find the volume of f(x) rotated about the x and y axis.

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