MTH 252H Study Guide - Midterm Guide: Unit Circle, Sine Wave, Even And Odd Functions
11 Oct 2018
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You must thoroughly explain your setup to get credit. (10pts) problem 3: 0 (cid:0)x2(cid:1)2 dx: the volume of region revolved about x = 1, the volume of region revolved about the x-axis, the area of region . Unjusti ed answers will receive no credit. (10pts) problem 1: Two full 42-gallon tanks begin draining water at t = 0. Tank alpha"s volume is changing at a constant rate of -21/5 gal/min. The rate at which tank bravo"s volume is changing is given by r(t) = 1. Solution: since tank alpha is losing water at a constant rate, the change in volume of water will be. This means tank alpha will contain 21 gal of water after 5 min. The net change in volume for tank bravo will be given by and so we can nd the amount of water in the tank after 5 minutes with. 2 t 6 dt t 6 dt.
