October 26th, 2012, 10:47 AM  #1 
Senior Member Joined: Mar 2012 Posts: 111 Thanks: 0  maximum rate of energy consumption
totally lost here. what is the maximum value? I figured out the time (noon) but not the last part. Thanks! 
October 28th, 2012, 06:58 PM  #2 
Senior Member Joined: Mar 2012 Posts: 111 Thanks: 0  Re: maximum rate of energy consumption
oops sorry was over the upload count for my imageshack, here's the problem I need help with (got everything else, need the last part): 
October 28th, 2012, 07:20 PM  #3 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: maximum rate of energy consumption
You need to find P(0) right?

October 28th, 2012, 08:12 PM  #4 
Senior Member Joined: Mar 2012 Posts: 111 Thanks: 0  Re: maximum rate of energy consumption
I believe so since the starting point is at noon.

October 28th, 2012, 08:24 PM  #5 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: maximum rate of energy consumption
You use t = 0, not because this is noon, but because this is where the power consumption is at a maximum. Now, equating the first derivative to 0, we find: where Since the period of the sinusoidal energy function is 24 hr, we need only consider So, we look at: i) we find so this extremum is a maximum. ii) we find so this extremum is a minimum. So, we find the maximum power consumption occurs at . Now evaluate the power function at this point to find the maximum power consumption. 
October 29th, 2012, 08:27 AM  #6 
Senior Member Joined: Mar 2012 Posts: 111 Thanks: 0  Re: maximum rate of energy consumption
ok got it, thanks Mark!


Tags 
consumption, energy, maximum, rate 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
On The Energy Formula  Anamitra Palit  Physics  3  October 2nd, 2012 11:58 PM 
Energy Problem  jakeward123  Physics  2  April 4th, 2011 12:16 PM 
Energy Converter  markys  Physics  1  January 14th, 2011 07:10 AM 
Merton consumption model  Alex1  Economics  3  November 19th, 2010 11:54 AM 
Energy Problem  jakeward123  Calculus  0  December 31st, 1969 04:00 PM 