Alright, here's my problem:
22. Home Electricity Use The rate at which your home consumes electricity is measured in kilowatts. If your home consumes electricity at the rate of 1 kilowatt for 1 hour, you will be charged for 1 "kilowatt-hour" of electricity. Suppose that the average consumption rate for a certain home is modeled by the function C(t)=3.9−2.4sin(π∗t12) where C(t) is measured in kilowatts and t is the number of hours past midnight. Find the average daily consumption for this home, measured in kilowatt-hours.
Here's what I know:
The function is over the interval [0,24] and we need an integral. We also need the formula to find the average value of a function. Here's my equation:
124∫2403.9−2.4sin(π∗t12)dt
Upon solving the integral, I get:
124(3.9t+28.8πcos(π∗t12))[0,24]
Finally solving gives me:
t=3.9kilowatt−hours
Does this look right to anyone? Or wrong?