Question

The side x of a rectangle is increasing at a rate of 2 cm/s while its...

The side x of a rectangle is increasing at a rate of 2 cm/s while its side y is decreasing
at a rate of 1 cm/s.


(a) Find how fast the perimeter P of the rectangle is changing when x = 4 cm and
y = 3 cm.


(b) Find how fast the area A of the rectangle is changing when x = 4 cm and y = 3
cm.


(c) Find how fast the length l of diagonal of the rectangle is changing when x = 4
cm and y = 3 cm.

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