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Suppose that a volcano is erupting and readings of the rate $ r(t) $ at which solid materials are spewed into the atmosphere are given in the table. The time $ t $ is measured in seconds and the units for $ r(t) $ are tonnes (metric tons) per second.
(a) Give upper and lower estimates for the total quantity $ Q(6) $ of erupted materials alter six seconds.(b) Use the Midpoint Rule to estimate $ Q(6) $.
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Calculus 1 / AB
Chapter 5
Integrals
Section 4
Indefinite Integrals and the Net Change Theorem
Integration
Campbell University
Harvey Mudd College
Baylor University
Lectures
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