mauri6381
14.11.2019 •
Mathematics
Find two numbers whose difference is 300 and whose product is a minimum. list them separated with a comma.
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Ответ:
2 numbers whose difference is 300.
2 numbers whose product is a minimum
x - y = 300
P = xy
-y = 300 - x
-y/-1 = 300/-1 - x/-1
y = -300 + x
y = x - 300
P = xy
P = x (x - 300)
P = x² - 300x
P'(x) = 2x - 300
x = 150
y = x - 300
y = 150 - 300
y = -150
(150, -150)
Ответ: