paper3 - 2 Using integration by parts show that for any...

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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 ) = 100 e - 0 . 01 t liters per minute. How much oil leaks out within the first hour?
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Unformatted text preview: 2. Using integration by parts, show that for any positive integer n , Z x n e x dx = x n e x-n Z x n-1 e x dx Use the above formula to determine Z x 4 e x dx...
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