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Compute the thrust being produced by the Lear Jet in Problem 6.21. Given f(x) =f(a) +f'(a)(x – a) and f(z) = –0.1x* – 0.15x – 0.5x²– .25x + 1.2 Use the first-order Taylor series approximation to evaluate f(x) given (a) where: - a = 1 x= 2 Compare the answer from Problem 6.23 with what you would obtain just evaluating f(a) at a = 2.

Compute the thrust being produced by the Lear Jet in Problem 6.21. Given f(x) =f(a) +f'(a)(x – a) and f(z) = –0.1x* – 0.15x – 0.5x²– .25x + 1.2 Use the first-order Taylor series approximation to evaluate f(x) given (a) where: - a = 1 x= 2 Compare the answer from Problem 6.23 with what you would obtain just evaluating f(a) at a = 2.

Advanced Engineering Mathematics
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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Answer questions 6.23 and 6.24 which is its continuation
laded Purchased from American Institute of Aeronautics and Astronautics 300 INTRODUCTION TO AIROCRAFT FLIGHT MECHANICS 6.19 An aircraft has a lift curve slope of 0.10/deg and a Cm. = -0.04/deg. What is the aircraft's static margin? 6.20 An aircraft has longitudinal static stability at a given center of gravity location. Which of the following is true? (a) the static margin is negative (b) d8/aC = 0 (c) Cm. < 0 т, (d) all of the above 6.21 Assume a Lear Jet is cruising (level, unaccelerated flight) at 40,000 ft with U = 677 ft/s, S = 230 ft’, Weight=13,000lb, and CT = 0.0335. Find CL, and CD, 6.22 Compute the thrust being produced by the Lear Jet in Problem 6.21. 6.23 Given f(x) =f(a) +f'(a)(x – a) and f(z) = –0.1x* – 0.15x³ – 0.5x²– 0.25x + 1.2 Use the first-order Taylor series approximation to evaluate f(x) given f(a) where: a = 1 x= 2 6.24 Compare the answer from Problem 6.23 with what you would obtain just evaluating f(a) at a = 2. 6.25 To obtain the same answer for Problems 6.23 and 6.24, what order Taylor series would you use? Try it.
Transcribed Image Text:laded Purchased from American Institute of Aeronautics and Astronautics 300 INTRODUCTION TO AIROCRAFT FLIGHT MECHANICS 6.19 An aircraft has a lift curve slope of 0.10/deg and a Cm. = -0.04/deg. What is the aircraft's static margin? 6.20 An aircraft has longitudinal static stability at a given center of gravity location. Which of the following is true? (a) the static margin is negative (b) d8/aC = 0 (c) Cm. < 0 т, (d) all of the above 6.21 Assume a Lear Jet is cruising (level, unaccelerated flight) at 40,000 ft with U = 677 ft/s, S = 230 ft’, Weight=13,000lb, and CT = 0.0335. Find CL, and CD, 6.22 Compute the thrust being produced by the Lear Jet in Problem 6.21. 6.23 Given f(x) =f(a) +f'(a)(x – a) and f(z) = –0.1x* – 0.15x³ – 0.5x²– 0.25x + 1.2 Use the first-order Taylor series approximation to evaluate f(x) given f(a) where: a = 1 x= 2 6.24 Compare the answer from Problem 6.23 with what you would obtain just evaluating f(a) at a = 2. 6.25 To obtain the same answer for Problems 6.23 and 6.24, what order Taylor series would you use? Try it.
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