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 measured in tonnes (metric tons) per second. Note that r(t) is increasing over the interval [0, 6]. t 0 1 2 3 4 5 6 r(t) 2 10 26 38 44 52 60 (a) Give upper and lower estimates (in tons) for the total quantity Q(6) of erupted materials after six seconds. (Use six equal subintervals.) lower estimate Q(6) 174 X tons upper estimate Q(6) 232 X tons (b) Use the midpoint rule to estimate Q(6) (in tons). (Use three equal subintervals.) Q(6) 208 X tons
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 measured in tonnes (metric tons) per second. Note that r(t) is increasing over the interval [0, 6]. t 0 1 2 3 4 5 6 r(t) 2 10 26 38 44 52 60 (a) Give upper and lower estimates (in tons) for the total quantity Q(6) of erupted materials after six seconds. (Use six equal subintervals.) lower estimate Q(6) 174 X tons upper estimate Q(6) 232 X tons (b) Use the midpoint rule to estimate Q(6) (in tons). (Use three equal subintervals.) Q(6) 208 X tons
College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
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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
measured in tonnes (metric tons) per second. Note that r(t) is increasing over the interval [0, 6].
t
0 1
2
3
4
5 6
r(t) 2 10 26 38 44 52 60
(a) Give upper and lower estimates (in tons) for the total quantity Q(6) of erupted materials after six seconds. (Use six equal subintervals.)
lower estimate Q(6)
174
X tons
Xtons
upper estimate Q(6)
232
(b) Use the midpoint rule to estimate Q(6) (in tons). (Use three equal subintervals.)
Q(6) 208
X tons](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff77aaeb6-32e9-4475-82f9-455a261f2944%2F8c785826-b024-4c78-9606-d5cd498d7f80%2F5xllm2_processed.jpeg&w=3840&q=75)
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
measured in tonnes (metric tons) per second. Note that r(t) is increasing over the interval [0, 6].
t
0 1
2
3
4
5 6
r(t) 2 10 26 38 44 52 60
(a) Give upper and lower estimates (in tons) for the total quantity Q(6) of erupted materials after six seconds. (Use six equal subintervals.)
lower estimate Q(6)
174
X tons
Xtons
upper estimate Q(6)
232
(b) Use the midpoint rule to estimate Q(6) (in tons). (Use three equal subintervals.)
Q(6) 208
X tons
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