SOLUTION: The total energy in megawatt-hour used by a town is given by E(t)=400t+(2400/π)sin(πt/12) where t>=0 is measured in hours,with t=0 corresponding to noon.At what tim

Algebra ->  Equations -> SOLUTION: The total energy in megawatt-hour used by a town is given by E(t)=400t+(2400/π)sin(πt/12) where t>=0 is measured in hours,with t=0 corresponding to noon.At what tim      Log On


   



Question 1105000: The total energy in megawatt-hour used by a town is given by
E(t)=400t+(2400/π)sin(πt/12)
where t>=0 is measured in hours,with t=0 corresponding to noon.At what time of the day is the rate of energy consumption is minimum?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The total energy in megawatt-hour used by a town is given by
E(t)=400t+(2400/π)sin(πt/12)
where t>=0 is measured in hours,with t=0 corresponding to noon.At what time of the day is the rate of energy consumption is minimum?
========
E%28t%29+=+400t+%2B+%282400%2Fpi%29sin%28pi%2At%2F12%29
E'(t) = 400+%2B+%282400%2Fpi%29cos%28pi%2At%2F12%29%2A%28pi%2F12%29 = 0
Solve for t.