The length l of a rectangle is decrasing at a rate of 5 cm/sec while the width w is increasing at a rate of 2 cm/sec. When l = 15 cm and w = 7 cm, find the following rates of change:
The rate of change of the area:
Answer = cm^2/sec.
The rate of change of the perimeter:
Answer = cm/sec.
The rate of change of the diagonals:
Answer = cm/sec.