[a] Use the data from the table to find an approximation for R'(45).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2dde0a01-d978-4d5c-9c9c-f88afb02417c%2F7022764d-d535-4e4b-828a-e1c7358cb9dc%2F0l4291h_processed.jpeg&w=3840&q=75)
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)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2dde0a01-d978-4d5c-9c9c-f88afb02417c%2F7022764d-d535-4e4b-828a-e1c7358cb9dc%2Frjee2pj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[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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We have to use properties of derivative.
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