The length { of a rectangle is increasing at a rate of 9 cm/sec while the width w is decreasing at a rate of 9 cm/sec. When { = 15 cm and w 8 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or constant.

Q: The formula is x=ab^2/c^3 with a representing the constant variation where x=12 when b=6 and c=3.…

A: x=ab2c3Given x=12,b=6,c=3.Therefore12=a.623312=a.362712=a.4312×34=a3×3=a9=aa=9.

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