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. (Use 6 equal subintervals.) t0123 456 r(t)|2820 36 48 54 60 (a) Give upper and lower estimates for the total quantity Q(6) of erupted materials after 6 seconds. Q(6) =L Q(6) =L tonnes (lower estimate) tonnes (upper estimate) (b) Use the Midpoint Rule to estimate Q(6). (Use 3 equal subintervals.) Q(6) = tonnes

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 41A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN A slot 812.00...
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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. (Use 6 equal subintervals.)
to1 2 3 45 6
r(t)| 28 2o 36 48 54 60
(a) Give upper and lower estimates for the total quantity Q(6) of erupted materials after 6 seconds.
Q(6) =|
Q(6) =|
tonnes (lower estimate)
tonnes (upper estimate)
(b) Use the Midpoint Rule to estimate Q(6). (Use 3 equal subintervals.)
Q(6) =
tonnes
Transcribed Image Text: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. (Use 6 equal subintervals.) to1 2 3 45 6 r(t)| 28 2o 36 48 54 60 (a) Give upper and lower estimates for the total quantity Q(6) of erupted materials after 6 seconds. Q(6) =| Q(6) =| tonnes (lower estimate) tonnes (upper estimate) (b) Use the Midpoint Rule to estimate Q(6). (Use 3 equal subintervals.) Q(6) = tonnes
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