(b) Use a trapezoidal sum with the four subintervals given by the table to approximate the value of - E(t) dt. 8 Jo Using correct units, explain the meaning of E(t) dt in terms of the number of entries. 8 Jo (c) At 8 P.M., volunteers began to process the entries. They processed the entries at a rate modeled by the function P, where P(t) = r³ – 30z² + 298t – 976 hundreds of entries per hour for 8 < t < 12. According to the model, - how many entries had not yet been processed by midnight (t = 12) ? (d) According to the model from part (c), at what time were the entries being processed most quickly? Justify your answer.
(b) Use a trapezoidal sum with the four subintervals given by the table to approximate the value of - E(t) dt. 8 Jo Using correct units, explain the meaning of E(t) dt in terms of the number of entries. 8 Jo (c) At 8 P.M., volunteers began to process the entries. They processed the entries at a rate modeled by the function P, where P(t) = r³ – 30z² + 298t – 976 hundreds of entries per hour for 8 < t < 12. According to the model, - how many entries had not yet been processed by midnight (t = 12) ? (d) According to the model from part (c), at what time were the entries being processed most quickly? Justify your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
b)c)d)
![t
7
8.
(hours)
E(t)
(hundreds of
entries)
4
13
21
23
A zoo sponsored a one-day contest to name a new baby elephant. Zoo visitors deposited entries in a special box
between noon (t = 0) and 8 P.M. (t = 8). The number of entries in the box t hours after noon is modeled by a
differentiable function E for 0 <t< 8. Values of E(t), in hundreds of entries, at various times t are shown in
the table above.
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd27f7e0-834e-40ed-ac12-9ff71783ae4a%2Fae6435b7-32d2-4111-81c2-ccb77a5f1400%2Fhbi77v_processed.png&w=3840&q=75)
Transcribed Image Text:t
7
8.
(hours)
E(t)
(hundreds of
entries)
4
13
21
23
A zoo sponsored a one-day contest to name a new baby elephant. Zoo visitors deposited entries in a special box
between noon (t = 0) and 8 P.M. (t = 8). The number of entries in the box t hours after noon is modeled by a
differentiable function E for 0 <t< 8. Values of E(t), in hundreds of entries, at various times t are shown in
the table above.
2.
![(b) Use a trapezoidal sum with the four subintervals given by the table to approximate the value of E(t) dt.
8
Using correct units, explain the meaning of E(t) dt in terms of the number of entries.
8 Jo
(c) At 8 P.M., volunteers began to process the entries. They processed the entries at a rate modeled by the function
P, where P(t) = t – 301² + 298t – 976 hundreds of entries per hour for 8 <t < 12. According to the model,
how many entries had not yet been processed by midnight (t = 12) ?
(d) According to the model from part (c), at what time were the entries being processed most quickly? Justify
your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd27f7e0-834e-40ed-ac12-9ff71783ae4a%2Fae6435b7-32d2-4111-81c2-ccb77a5f1400%2Fel5xiqs_processed.png&w=3840&q=75)
Transcribed Image Text:(b) Use a trapezoidal sum with the four subintervals given by the table to approximate the value of E(t) dt.
8
Using correct units, explain the meaning of E(t) dt in terms of the number of entries.
8 Jo
(c) At 8 P.M., volunteers began to process the entries. They processed the entries at a rate modeled by the function
P, where P(t) = t – 301² + 298t – 976 hundreds of entries per hour for 8 <t < 12. According to the model,
how many entries had not yet been processed by midnight (t = 12) ?
(d) According to the model from part (c), at what time were the entries being processed most quickly? Justify
your answer.
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