1.Determine the maximum area of a triangle that has a hypotenuse of 5 m.[/FONT][/COLOR]

2.Determine the local maxima and local minima of the function sinx^3 +cosx^3 for (0,2pie)

3. Two sides of a triangle have lengths of 1 m and 2 m. The angle between them is increasing at /1000 rad/s.Determine the rate of change of the third side when the angle between the first two sides is pie/4