paper3 - MAT126 Paper Homework 3 1 A large tank of canola oil ruptures at a time t = 0 minutes and the oil leaks out at a rate of r(t = 100e0.01t liters

paper3 - MAT126 Paper Homework 3 1 A large tank of canola...

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MAT126, Paper Homework 3 1. A large tank of canola oil ruptures at a timet= 0 minutes, and the oil leaks out at a rate ofr(t) = 100e-0.01tliters per minute. How much oil leaks out within the first hour?2. Using integration by parts, show that for any positive integern,Zxnexdx=xnex-nZxn-1exdxUse the above formula to determineZx4exdx

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