I only need the answers for parts d and e. I don't need a, b, or c. Thank you. Managing fuel costs is always a challenge in the airline industry as the price of jet fuel can be volatile. In orderto analyze fuel needs, a certain company recorded the rate of fuel use by one of their airplanes and the datafrom that flight is shown below. This data resulted in a twice-differentiable function that is always increasing.t (minutes)F(t)(gallons/minute)2030354040505570659070 a. Use data from the table to find an approximation for F'(60). Show how you obtained your answer.Indicate appropriate units.b. Suppose that the rate at which the fuel was being used was increasing fastest 45 minutes into theflight. What is the value of F"(x) at this time? Explain your reasoning.90c. Use a right Riemann sum with 5 intervals to approximate the value of F(t)dt. Is yourapproximation an under-estimate or an over-estimate for the actual value of ["F(t)dt? Explain yourreasoning.90d. Explain the meaning of "F(t)dt for 0sx<90 in the context of this problem.e. Explain the meaning of -F(t)dt for 0

d. Given: Ft is a function representing rate of fuel use (in gallons/minute) and, t represents time…

Managing fuel costs is always a challenge in the airline industry as the price of jet fuel can be volatile. In order to analyze fuel needs, a certain company recorded the rate of fuel use by one of their airplanes and the data from that flight is shown below. This data resulted in a twice-differentiable function that is always increasing. t (minutes) F(t) (gallons/minute) 20 30 35 40 40 50 55 70 65 90 70

Managing fuel costs is always a challenge in the airline industry as the price of jet fuel can be volatile. In order to analyze fuel needs, a certain company recorded the rate of fuel use by one of their airplanes and the data from that flight is shown below. This data resulted in a twice-differentiable function that is always increasing. t (minutes) F(t) (gallons/minute) 20 30 35 40 40 50 55 70 65 90 70

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 7CA

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Question

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I only need the answers for parts d and e. I don't need a, b, or c. Thank you.

Managing fuel costs is always a challenge in the airline industry as the price of jet fuel can be volatile. In order
to analyze fuel needs, a certain company recorded the rate of fuel use by one of their airplanes and the data
from that flight is shown below. This data resulted in a twice-differentiable function that is always increasing.
t (minutes)
F(t)
(gallons/minute)
20
30
35
40
40
50
55
70
65
90
70

a. Use data from the table to find an approximation for F'(60). Show how you obtained your answer.
Indicate appropriate units.
b. Suppose that the rate at which the fuel was being used was increasing fastest 45 minutes into the
flight. What is the value of F"(x) at this time? Explain your reasoning.
90
c. Use a right Riemann sum with 5 intervals to approximate the value of F(t)dt. Is your
approximation an under-estimate or an over-estimate for the actual value of ["F(t)dt? Explain your
reasoning.
90
d. Explain the meaning of "F(t)dt for 0sx<90 in the context of this problem.
e. Explain the meaning of -F(t)dt for 0<xs90 in the context of this problem.

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