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Question 2 A parcel of air rising quickly in the atmosphere will decrease in temperature and increase in volume if it does not exchange heat with the surrounding air. For sufficiently dry air, the relationship between temperature and volume is given by TV0.4 = C for a constant C, temperature T in Kelvin, and volume V in cubic meters. Let time t be in hours. (a) Find dT and explain what it represents. Be sure to include units. AP dV and explain what it represents. Be sure to include units. dT (b) Find dT assuming that both T and V are functions of time, and explain what it represents. Be dt (c) Find sure to include units. (d) Find- dT if V = 10 m³, T = 295 K and volume is increasing at a rate of 1m³ every hour. dt dV assuming that both T and V are functions of time, and explain what it represents. Be dt (e) Find sure to include units. dV (f) Find if V = 10 m³, T = 295 K and temperature is increasing at a rate of 2 K every hour. dt

Question 2 A parcel of air rising quickly in the atmosphere will decrease in temperature and increase in volume if it does not exchange heat with the surrounding air. For sufficiently dry air, the relationship between temperature and volume is given by TV0.4 = C for a constant C, temperature T in Kelvin, and volume V in cubic meters. Let time t be in hours. (a) Find dT and explain what it represents. Be sure to include units. AP dV and explain what it represents. Be sure to include units. dT (b) Find dT assuming that both T and V are functions of time, and explain what it represents. Be dt (c) Find sure to include units. (d) Find- dT if V = 10 m³, T = 295 K and volume is increasing at a rate of 1m³ every hour. dt dV assuming that both T and V are functions of time, and explain what it represents. Be dt (e) Find sure to include units. dV (f) Find if V = 10 m³, T = 295 K and temperature is increasing at a rate of 2 K every hour. dt

Calculus: Early Transcendentals
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 2 A parcel of air rising quickly in the atmosphere will decrease in temperature and increase in volume if it does not exchange heat with the surrounding air. For sufficiently dry air, the relationship between temperature and volume is given by TVU.4 = C for a constant C, temperature T in Kelvin, and volume V in cubic meters. Let time t be in hours. dT and explain what it represents. Be sure to include units. dV (а) Find dV and explain what it represents. Be sure to include units. dT (b) Find dT assuming that both T and V are functions of time, and explain what it represents. Be dt (c) Find sure to include units. dT 10 m³, T = 295 K and volume is increasing at a rate of lm³ every hour. 3 (d) Find- if V dt (e) Find AP assuming that both T and V are functions of time, and explain what it represents. Be dt sure to include units. dV (f) Find if V 10 m³, T = 295 K and temperature is increasing at a rate of 2 K every hour. dt
Transcribed Image Text:Question 2 A parcel of air rising quickly in the atmosphere will decrease in temperature and increase in volume if it does not exchange heat with the surrounding air. For sufficiently dry air, the relationship between temperature and volume is given by TVU.4 = C for a constant C, temperature T in Kelvin, and volume V in cubic meters. Let time t be in hours. dT and explain what it represents. Be sure to include units. dV (а) Find dV and explain what it represents. Be sure to include units. dT (b) Find dT assuming that both T and V are functions of time, and explain what it represents. Be dt (c) Find sure to include units. dT 10 m³, T = 295 K and volume is increasing at a rate of lm³ every hour. 3 (d) Find- if V dt (e) Find AP assuming that both T and V are functions of time, and explain what it represents. Be dt sure to include units. dV (f) Find if V 10 m³, T = 295 K and temperature is increasing at a rate of 2 K every hour. dt
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