= O Given a starting estimate of to 0 hours, use a single iteration of Newton's method to approximate the value of t where the thermic effect of food above resting metabolic rate, T(t), first reaches 40 kJ·h¯¹. Note: T'(t) = 175.9e-t/1.3 (1-13).
= O Given a starting estimate of to 0 hours, use a single iteration of Newton's method to approximate the value of t where the thermic effect of food above resting metabolic rate, T(t), first reaches 40 kJ·h¯¹. Note: T'(t) = 175.9e-t/1.3 (1-13).
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
do question b only
![Thermic effect of food above RMR (kJ⋅h¯¹)
80
60
40
20
h 5-
bt
6
0
1
2
4
5
6
3
Time (h)
Figure 3. Model of thermic effect of food above resting metabolic rate over time
(adapted from [5]).
(a) Using the trapezoidal rule with hourly increments, approximate the area under the curve
of T(t) on the interval 0 ≤ t ≤ 6 given the following data points:
1
2
t (h) 0
T (kJ.h−¹)| 0.0
3 4 5 6
75.5 52.5 32.4 18.8 10.4
81.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff76347ea-2b7c-4a9a-ac33-e39a62feec13%2Fdccd6bf1-dfab-4603-873b-3bd87b7cd5e4%2Fbc2bwy9_processed.png&w=3840&q=75)
Transcribed Image Text:Thermic effect of food above RMR (kJ⋅h¯¹)
80
60
40
20
h 5-
bt
6
0
1
2
4
5
6
3
Time (h)
Figure 3. Model of thermic effect of food above resting metabolic rate over time
(adapted from [5]).
(a) Using the trapezoidal rule with hourly increments, approximate the area under the curve
of T(t) on the interval 0 ≤ t ≤ 6 given the following data points:
1
2
t (h) 0
T (kJ.h−¹)| 0.0
3 4 5 6
75.5 52.5 32.4 18.8 10.4
81.5
Transcribed Image Text:(b) Given a starting estimate of to = 0 hours, use a single iteration of Newton's method to
approximate the value of t where the thermic effect of food above resting metabolic rate,
T(t), first reaches 40 kJ.h−¹. Note: T'(t) = 175.9e-t/¹.³ (1 – 13).
t
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