Mathematics, 16.12.2020 16:50 eternity88091
The length l of a rectangle is decreasing at a rate of 3 cm/sec while the width w is increasing at a rate of 3 cm/sec. When l=5 cm and w=12 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.
a) The rate of changes of the area of the rectangle is cm^2/sec
Is the area increasing, decreasing, or constant?
b) The rate of change of the perimeter of the rectangle is cm/sec.
Is the perimeter increasing, decreasing, or constant?
c) The rate of change of the length of the diagonals of the rectangle is cm/sec.
Is the length of the diagonals increasing, decreasing, or constant.
Answers: 2
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The length l of a rectangle is decreasing at a rate of 3 cm/sec while the width w is increasing at a...
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