Cost Suppose that the temperature in degrees Fahrenheit is given byT 72 12 sin t 8

Chapter 8, Problem 59

(choose chapter or problem)

Cost Suppose that the temperature in degrees Fahrenheit is given byT 72 12 sin t 8 12where t is the time in hours, with corresponding to midnight. Furthermore, suppose that it costs $0.30 to cool a particular house for 1 hour. (a) Use the integration capabilities of a graphing utility to find the cost C of cooling this house between 8 A.M. and 8 P.M., if the thermostat is set at (see figure) and the cost is given by C 0.320 8 72 12 sin t 8 12 72 dt.(b) Use the integration capabilities of a graphing utility to find the savings realized by resetting the thermostat to (see figure) by evaluating the integralC 0.318 10 72 12 sin t 8 12 78 dt.