For a certain single engine aircraft, time to increase altitude (in seconds per foot) is given by $ h(a) = 0.06e^{\frac{a}{13000}} $ where $ a $ is the current altitude of the plane in feet.a) If $ H'(a) = h(a) $ find $ H(4000) - H(2000) $ either by hand or using technology and explain what this represents in the context of the problem. Be sure to include all relevant numerical values and units.[Answer Box]b) Estimate $ \int_{0}^{2000} h(a) \, da $ using $ M_4 $. Use 3 decimal places in your calculations. Show clear work on your scratch paper.[Answer Box]c) State the area of the second rectangle (from the left) from part (b). Explain the meaning of this area in the context of the problem. Be sure to include all relevant numerical values and units. Use 3 decimal places in your calculations.[Answer Box]

Name: For a certain single engine aircraft, time to increase altitude (in s
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Description: For a certain single engine aircraft, time to increase altitude (in seconds per foot) is given by $ h(a) = 0.06e^{\frac{a}{13000}} $ where $ a $ is the current altitude of the plane in feet.a) If $ H'(a) = h(a) $ find $ H(4000) - H(2000) $ e

Given The function is h(a)=0.06ea130000

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Calculus

For a certain single engine aircraft, time to increase altitude (in seconds per foot) is given h(a) = 0.06eī by where a is the current altitude of the plane in feet. a) If H' (a) = h(a) find H(4000) – H(2000) either by hand or using technology and explain what this represents in the context of the problem. Be sure to include all relevant numerical values and units. - 2000 b) Estimate h(a)da using M4 . Use 3 decimal places in your calculations. Show clear work on your scratch paper. c) State the area of the second rectangle (from the left) from part (b). Explain the meaning of this area in the context of the problem. Be sure to include all relevant numerical values and units. Use 3 decimal places in your calculations.

For a certain single engine aircraft, time to increase altitude (in seconds per foot) is given h(a) = 0.06eī by where a is the current altitude of the plane in feet. a) If H' (a) = h(a) find H(4000) – H(2000) either by hand or using technology and explain what this represents in the context of the problem. Be sure to include all relevant numerical values and units. - 2000 b) Estimate h(a)da using M4 . Use 3 decimal places in your calculations. Show clear work on your scratch paper. c) State the area of the second rectangle (from the left) from part (b). Explain the meaning of this area in the context of the problem. Be sure to include all relevant numerical values and units. Use 3 decimal places in your calculations.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

For a certain single engine aircraft, time to increase altitude (in seconds per foot) is given by

$ h(a) = 0.06e^{\frac{a}{13000}} $

where $ a $ is the current altitude of the plane in feet.

a) If $ H'(a) = h(a) $ find $ H(4000) - H(2000) $ either by hand or using technology and explain what this represents in the context of the problem. Be sure to include all relevant numerical values and units.

[Answer Box]

b) Estimate $ \int_{0}^{2000} h(a) \, da $ using $ M_4 $. Use 3 decimal places in your calculations. Show clear work on your scratch paper.

[Answer Box]

c) State the area of the second rectangle (from the left) from part (b). Explain the meaning of this area in the context of the problem. Be sure to include all relevant numerical values and units. Use 3 decimal places in your calculations.

[Answer Box]

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The function is $h (a) = 0.06 e^{\frac{a}{130000}}$

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