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Washer Method - AP Calculus - Lecture Notes, Study notes of Calculus

Birla Institute of Technology and ScienceCalculus

This lecture is from AP Calculus. Key important points are: Washer Method, Graphical Calculations, Rules of Integration, Disk, Horizontal Axis, Volume of Solid

Typology: Study notes

2012/2013

Uploaded on 01/31/2013

ekavia
ekavia 🇮🇳

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Calculus Section 7.2B LT: Find the volume of revolution using washer method Notes ¢ This is really just a disk with a hole in the middle. e Horizontal axis of revolution: b v= rf (RODE — [r@Pax ® Vertical axis of revolution: dD i= rf (RODE = ro) dy Examples Find the volume of the solid formed by revolving the region bounded by the graphs of the functions about the x-axis. 1) f(x) = vx Me = x? gx) =x? ez’ RGD = K- 0 v(x) = >= 6 tae z S 6 30 BMS ES seus § 16 Find the volume of the solid formed by revolving the region bounded by the graphs of the following functions about the ye 2 y=x7 +1 y-yext =0 x20 Turi = x x=1 cy. Ve wy = wy) a bow\* Rly) = I v(y) = {5-7 2 ver| iy - {-1 ‘ uv 1/1