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Math Help - optimization help!

  1. #1
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    optimization help!

    i have two problems that i need help with. i always have trouble setting up the equations. help is appreciated!

    jane is 2 miles offshore in a boat and wishes to reach a coastal village 6 miles down a straight shoreline from the point nearest the boat. she can row 2 miles per hour and can walk 5 miles per hour. where would she land her boat to reach the village in the least amount if time?

    a rectangle is to be inscribed under the arch of the curve y = 4cosx(0.5x) from x=-pi to x=pi. what are the dimensions of the rectangle with the largest area and what is the largest area?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by roflcopterzz View Post
    i have two problems that i need help with. i always have trouble setting up the equations. help is appreciated!

    jane is 2 miles offshore in a boat and wishes to reach a coastal village 6 miles down a straight shoreline from the point nearest the boat. she can row 2 miles per hour and can walk 5 miles per hour. where would she land her boat to reach the village in the least amount if time?
    See this thread:

    http://www.mathhelpforum.com/math-he...equations.html

    CB
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