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imstoopid69
16.12.2021 •
Mathematics
Help please due at 11:00
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Ответ:
4.5 cm ^ 2
Step-by-step explanation:
We have the following partial derivative, knowing that the area is A = x * y:
dA = (dpA / dpx) * dx + (dpA / dpy) * dy = y * dx + x * dy
and that | delta x | <= 0.1, | delta and | <= 0.1. We then use dx = 0.1 and dy = 0.1, with x = 50, y = 45;
So the maximum error in the area would be:
dA = y * dx + x * dy = 50 * 0.1 + 45 * 0.1 = 5 + 4.5 = 9.5
In other words, the maximum error is 4.5 cm ^ 2