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Question 1
Let `C` be the curve ` y = 8 sqrt( x ) ` for `1 le x le 3.2`.
Graphing window shows horizontal axis: 1 to 4, vertical axis: 0 to 16. Dot at (1,8), color blue. Dot at (3.2,14.310835055999), color blue. Start Graph, Color black
xy
18
211.314
313.856
416

Find the surface area of revolution about the `x`-axis of `C`.
3dsurface
Surface area `= int_1^3.2 f( x ) \ dx` where
`f( x ) =`  
Now integrate to find surface area `= int_1^3.2 f( x ) \ dx =`