air conditioning costs by integration....

[bluester105]

the temperature in degrees fahrenheit is T=72+12sin^pi(t-8)/₁₂ where t is the time in hours, with y=0 representing midnight. suppose the hourly cost of cooling a home is $.10 per degree.

a. find the cost (C) of cooling this house if the thermostat is set at 72 degrees by evaluating the integral

C=0.1 (the integral is evaluated from t=8 to t=20) [72+12sin^pi(t-8)/₁₂ -72]dt

so i was thinking that was using the substitution method?? 1/b-a??

b. find the SAVINGS by resetting the thermostat to 78 degrees by evaluating the integral

C=0.1 (the integral is evaluated from t=10 to t=18) [72+12sin^pi(t-8)/₁₂ -78]dt


thanks SO SO SO much for all of your help.

 

[tkhunny]

Okay, show us what you get. How did that substitution go for you? What substitution did you use?