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Genrish500 [490]
3 years ago
15

Find the rate of change of the area of a square with respect

Mathematics
1 answer:
Romashka [77]3 years ago
4 0
Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2

Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.

When z = 4, the rate is 4.
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