The accompanying table shows the time of useful consciousness at various altitudes in the situation where a pressurized airplane suddenly loses pressure. The change in pressure drastically reduces available oxygen, and hypoxia sets in. The upper value each time interval is roughly measured by T = 10.2-0.2743, where T measures time in minutes and a is the altitude over 22,000 in thousands of feet (a=0 corresponds to 22,000 ft). Complete parts a through c below. Click the icon to view the time of useful consciousness table. a. A jet flying at 32,000 ft (a = 10) suddenly loses pressure when the seal on a window fails. According to this model, how long do the pilot and passengers have to deploy oxygen masks before they become incapacitated? T-s (Type an integer or decimal rounded to the nearest tenth as needed.) b. What is average rate of change of T with respect to a over the interval from 26,000 to 31,000 ft (include units)? ☐ 1000 ft (Type an integer or decimal rounded to the nearest thousandth as needed.) dT c. Find the instantaneous rate of changed compute it at 31,000 ft, and interpret its meaning. Compute at 31,000 ft. ☐ 1000 ft (Type an integer or decimal rounded to the nearest thousandth as needed.) ат Using the meaning of at 31,000 ft, complete the inputs in the sentence below. If a plane is traveling at ☐ ft and it increases its altitude by ☐ ft, the time of useful consciousness would by about second(s).
The accompanying table shows the time of useful consciousness at various altitudes in the situation where a pressurized airplane suddenly loses pressure. The change in pressure drastically reduces available oxygen, and hypoxia sets in. The upper value each time interval is roughly measured by T = 10.2-0.2743, where T measures time in minutes and a is the altitude over 22,000 in thousands of feet (a=0 corresponds to 22,000 ft). Complete parts a through c below. Click the icon to view the time of useful consciousness table. a. A jet flying at 32,000 ft (a = 10) suddenly loses pressure when the seal on a window fails. According to this model, how long do the pilot and passengers have to deploy oxygen masks before they become incapacitated? T-s (Type an integer or decimal rounded to the nearest tenth as needed.) b. What is average rate of change of T with respect to a over the interval from 26,000 to 31,000 ft (include units)? ☐ 1000 ft (Type an integer or decimal rounded to the nearest thousandth as needed.) dT c. Find the instantaneous rate of changed compute it at 31,000 ft, and interpret its meaning. Compute at 31,000 ft. ☐ 1000 ft (Type an integer or decimal rounded to the nearest thousandth as needed.) ат Using the meaning of at 31,000 ft, complete the inputs in the sentence below. If a plane is traveling at ☐ ft and it increases its altitude by ☐ ft, the time of useful consciousness would by about second(s).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Transcribed Image Text:The accompanying table shows the time of useful consciousness at various altitudes in the situation where a pressurized airplane suddenly loses pressure. The change in pressure drastically reduces available oxygen, and hypoxia sets in. The upper value of
each time interval is roughly measured by T = 10.2-0.274a, where T measures time in minutes and a is the altitude over 22,000 in thousands of feet (a = 0 corresponds to 22,000 ft). Complete parts a through c below.
Click the icon to view the time of useful consciousness table.
a. A jet flying at 32,000 ft (a = 10) suddenly loses pressure when the seal on a window fails. According to this model, how long do the pilot and passengers have to deploy oxygen masks before they become incapacitated?
T =
S
(Type an integer or decimal rounded to the nearest tenth as needed.)
b. What is average rate of change of T with respect to a over the interval from 26,000 to 31,000 ft (include units)?
S
1000 ft
(Type an integer or decimal rounded to the nearest thousandth as needed.)
dT
c. Find the instantaneous rate of change
da
69
3
compute it at 31,000 ft, and interpret its meaning.
dT
da
Compute
dT
da
at 31,000 ft.
S
1000 ft
(Type an integer or decimal rounded to the nearest thousandth as needed.)
Using the meaning of
dT
da
at 31,000 ft, complete the inputs in the sentence below.
If a plane is traveling at ft and it increases its altitude by
(Round to the nearest whole number as needed.)
ft, the time of useful consciousness would
by about
second(s).
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