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3. Below is a table relating altitude, h, and atmospheric pressure P(h). Atmospheric Pressure (kPa) Altitude above sea level (km) 80 4 64 6. 51.2 8. 40.96 a. Determine the atmospheric pressure at 10 km above sea level.

3. Below is a table relating altitude, h, and atmospheric pressure P(h). Atmospheric Pressure (kPa) Altitude above sea level (km) 80 4 64 6. 51.2 8. 40.96 a. Determine the atmospheric pressure at 10 km above sea level.

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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3. Below is a table relating altitude, h, and atmospheric pressure P(h). Atmospheric Pressure (kPa) Altitude above sea level (km) 80 64 6. 51.2 40.96 a. Determine the atmospheric pressure at 10 km above sea level.
Transcribed Image Text:3. Below is a table relating altitude, h, and atmospheric pressure P(h). Atmospheric Pressure (kPa) Altitude above sea level (km) 80 64 6. 51.2 40.96 a. Determine the atmospheric pressure at 10 km above sea level.
b. Use the function properties that you learned previously to make a conjecture as to the type of function that models the given data. What type of function models this pattern? c. Why can't you use the pattern to find P(5)? d. Find a particular equation for P(h) and verify that all of the P(h) values in the given table satisfy the equation. (Leave your equation exact.) e. Evaluate P(5). f. At what altitude will the atmospheric pressure reach 25 kPa? Give both, the exact (without calculator) and approximate (with calculator) answers.
Transcribed Image Text:b. Use the function properties that you learned previously to make a conjecture as to the type of function that models the given data. What type of function models this pattern? c. Why can't you use the pattern to find P(5)? d. Find a particular equation for P(h) and verify that all of the P(h) values in the given table satisfy the equation. (Leave your equation exact.) e. Evaluate P(5). f. At what altitude will the atmospheric pressure reach 25 kPa? Give both, the exact (without calculator) and approximate (with calculator) answers.
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