# MT1Rev - Math 32B Calculus of Several Variables Midterm#1...

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Math 32B - Calculus of Several Variables Midterm #1 - Practice Problems Disclaimer :- The choice of problems was entirely my own. I have no knowledge of what will appear on the midterm, nor how the exam will be structured. These questions are designed to cover what I think are some of the important parts of the course so far, but I do not claim that they cover everything you may be asked in the midterm. Any mistakes are my own entirely. 1. A riverologist wishes to study the ﬂow of water under a bridge. The river is 6 metres wide, and the depth of the river is measured at one-metre intervals from one bank to another. The measurements are made on an hourly basis from 1pm to 5pm. Given that the river ﬂows at 4 km/hr, use the data below to estimate the volume of water that passed under the bridge from 2pm to 5pm. Table 1: Depth (m) by time and position (distance from left bank) Time 0m 1m 2m 3m 4m 5m 6m 1 pm 3 3 4 4 4 3 3 2 pm 4 5 6 6 6 5 4 3 pm 4 5 7 7 6 6 5 4 pm 3 4 5 6 5 5 4 5 pm 2 2 4

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MT1Rev - Math 32B Calculus of Several Variables Midterm#1...

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