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A mountain climber feels that the air temperature decreases as his elevation increases. When his elevation is 2000 feet above sea level, the temperature is 60°F. The temperature decreases 3°F for every 1000 feet the climber ascends. a) Explain why the equation T(h) = 60 -0.003(h-2000) gives the temperature, in degrees Fahrenheit, at elevation h feet above sea level. We know that (2000, equation; and since the temperature goes down 3° for every 1000-foot increase in elevation, the slope of the function T(h) is ) must be on the graph of the Thus a possible point-slope equation for T(h) is T(h) = 60 -0.003(h - 2000).

A mountain climber feels that the air temperature decreases as his elevation increases. When his elevation is 2000 feet above sea level, the temperature is 60°F. The temperature decreases 3°F for every 1000 feet the climber ascends. a) Explain why the equation T(h) = 60 -0.003(h-2000) gives the temperature, in degrees Fahrenheit, at elevation h feet above sea level. We know that (2000, equation; and since the temperature goes down 3° for every 1000-foot increase in elevation, the slope of the function T(h) is ) must be on the graph of the Thus a possible point-slope equation for T(h) is T(h) = 60 -0.003(h - 2000).

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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A mountain climber feels that the air temperature decreases as his elevation increases. When his elevation is 2000 feet above sea level, the temperature is 60°F. The temperature decreases 3°F for every 1000 feet the climber ascends. a) Explain why the equation T(h) = 60 -0.003(h-2000) gives the temperature, in degrees Fahrenheit, at elevation h feet above sea level. We know that (2000, 3 U equation; and since the temperature goes down 3° for every 1000-foot increase in elevation, the slope of the function T(h) is Thus a possible point-slope equation for T(h) is T(h) = 60 -0.003(h - 2000). b) Explain why this equation might be useful for someone whose S f4 LA $ 101 4 r f5 % 5 T f6 Q Search 6 ) must be on the graph of the f7 & Y 7 fg * U hp 8 fg 14 9 i f10 O с myha f11 DDI P f12 + [
Transcribed Image Text:A mountain climber feels that the air temperature decreases as his elevation increases. When his elevation is 2000 feet above sea level, the temperature is 60°F. The temperature decreases 3°F for every 1000 feet the climber ascends. a) Explain why the equation T(h) = 60 -0.003(h-2000) gives the temperature, in degrees Fahrenheit, at elevation h feet above sea level. We know that (2000, 3 U equation; and since the temperature goes down 3° for every 1000-foot increase in elevation, the slope of the function T(h) is Thus a possible point-slope equation for T(h) is T(h) = 60 -0.003(h - 2000). b) Explain why this equation might be useful for someone whose S f4 LA $ 101 4 r f5 % 5 T f6 Q Search 6 ) must be on the graph of the f7 & Y 7 fg * U hp 8 fg 14 9 i f10 O с myha f11 DDI P f12 + [
A mountain climber feels that the air temperature decreases as his elevation increases. When his elevation is 2000 feet above sea level, the temperature is 60°F. The temperature decreases 3°F for every 1000 feet the climber ascends. a) Explain why the equation T(h) = 60 -0.003(h-2000) gives the temperature, in degrees Fahrenheit, at elevation h feet above sea level. We know that (2000, 3 U equation; and since the temperature goes down 3° for every 1000-foot increase in elevation, the slope of the function T(h) is Thus a possible point-slope equation for T(h) is T(h) = 60 -0.003(h - 2000). b) Explain why this equation might be useful for someone whose S f4 LA $ 101 4 r f5 % 5 T f6 Q Search 6 ) must be on the graph of the f7 & Y 7 fg * U hp 8 fg 14 9 i f10 O с myha f11 DDI P f12 + [
Transcribed Image Text:A mountain climber feels that the air temperature decreases as his elevation increases. When his elevation is 2000 feet above sea level, the temperature is 60°F. The temperature decreases 3°F for every 1000 feet the climber ascends. a) Explain why the equation T(h) = 60 -0.003(h-2000) gives the temperature, in degrees Fahrenheit, at elevation h feet above sea level. We know that (2000, 3 U equation; and since the temperature goes down 3° for every 1000-foot increase in elevation, the slope of the function T(h) is Thus a possible point-slope equation for T(h) is T(h) = 60 -0.003(h - 2000). b) Explain why this equation might be useful for someone whose S f4 LA $ 101 4 r f5 % 5 T f6 Q Search 6 ) must be on the graph of the f7 & Y 7 fg * U hp 8 fg 14 9 i f10 O с myha f11 DDI P f12 + [
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