Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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t (minutes)
R(t) (gallons per minute)
20
0.
30
30
40
55
70
65
90
70
The rate of fuel consumption, in gallons per minute,
recorded during an airplane flight is given by a twice-
differentiable and strictly increasing function R of time t.
A table of selected values of R(t), for the time interval
0<t<90minutes, is shown above.
[a] Use the data from the table to find an approximation
for R'(45).
40
50
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Transcribed Image Text:t (minutes) R(t) (gallons per minute) 20 0. 30 30 40 55 70 65 90 70 The rate of fuel consumption, in gallons per minute, recorded during an airplane flight is given by a twice- differentiable and strictly increasing function R of time t. A table of selected values of R(t), for the time interval 0<t<90minutes, is shown above. [a] Use the data from the table to find an approximation for R'(45). 40 50
[b] The rate of fuel consumption is increasing fastest at
time t = 45 minutes. What is the value of R"(45)?
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Transcribed Image Text:[b] The rate of fuel consumption is increasing fastest at time t = 45 minutes. What is the value of R"(45)?
Expert Solution
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Step 1

We have to use properties of derivative.

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