Question
1. A 6 ft piece of wire is cut into two pieces. One piece is bent into an equilateral triangle and the other will be
1. A 6 ft piece of wire is cut into two pieces. One piece is bent into an equilateral triangle and the other will be bent into a rectangle with one side twice the length of the other side. Determine where, if anywhere, the wire should be cut to minimize the area enclosed by the two figures.
2. A 4 m piece of wire is cut into two pieces. One piece is bent into a circle and the other will be bent into a rectangle with one side three times the length of the other side. Determine where, if anywhere, the wire should be cut to maximize the area enclosed by the two figures.
3. A line through the point(4,1)forms a right triangle with thex-axis andy-axis in the 2ndquadrant. Determine the equation of the line that will minimize the area of this triangle.
4. Find the point(s) ony=2x2that are closest to(0,3).
5. Determine the area of the largest rectangle that can be inscribed in a circle of radius 1.
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Probability and Random Processes With Applications to Signal Processing and Communications
Authors: Scott Miller, Donald Childers
2nd edition
123869811, 978-0121726515, 121726517, 978-0130200716, 978-0123869814
