1 In Class Questions MATH 151-Fall 02 November 19

151 WebCalc Fall 2002-copyright Joe Kahlig
In Class Questions
MATH 151-Fall 02
November 19
1. Find two numbers whose difference is 65 and whose product is a minimum.
2. A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other
is bent into a circle. How should the wire be cut so that the total area enclosed is a maximum?
3. A window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter
of the window is 12ft. find the dimensions of the rectangle that will produce the largest area for
the window.
4. A person in a rowboat 2 miles from the nearest point, called P, on a straight shoreline wishes
to reach a house 6 miles farther down the shore. If the person can row at a rate of 3 miles per
hour and walk at a rate of 5 miles per hour, how far along the shore should the person walk in
order to minimize the amount of time it takes to get to the house?