MTH 252H Study Guide - Quiz Guide: V12 Engine
11 Oct 2018
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Over x, g(x) = x2 on (5pts) problem 2: [0,1] revolved about the x-axis? (cid:90) 1 (cid:90) 1 (cid:90) 1 (cid:90) 2. Justi cation includes mathematical work as well as verbal explanations. For multiple choice questions you get 1pt for the correct answer and up to 4pts for the explanation. (5pts) problem 1: In the pictured wedge, l = 6cm, w = 4cm, and h = 2cm. Calculate the volume of the wedge by taking cross-sections perpendicular to the z-axis. Solution: if we are taking cross-sections perpendicular to the z-axis, then our slices will be rectangular prisms. Each prism will always have a width of 4 and a thickness of z, but the length will depend on where on the z-axis we are taking the slice (zi). In general our volume will be given by vi = ( z)(4)(li). We need to try and nd li in terms of zi. z.
