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ritaraum1802
10.03.2020 •
Mathematics
A box with no top is to be made out of a 6' by 10' piece of cardboard with x' squares cut out of the corners. The sides will be folded up to make the box. Find the value of x that maximizes the box
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Ответ:
1.21'
Step-by-step explanation:
Volume = (6-2x)(10-2x)(x)
= (60-12x-20x+4x²)(x)
= 4x³-32x²+60x
dV/dx = 12x² - 64x + 60 = 0
3x² - 16x + 15 = 0
x = 4.1196 , 1.2137
d²V/dx² = 6x - 16
at x = 4.1196, +ve
at x = 1.2136, -ve
x should be small for max volume,
So x = 1.21' (3 sf)
Ответ:
Binder = 75c notebook = 65c
Step-by-step explanation:
3b + 10n = 875
3b + 4n = 485
Subtracting gives:
6n = 390
390/6 = 65
n = 65
Substitute 65 into 3b + 4n = 485
3b + 260 = 485
3b = 485 - 260
3b = 260
b = 75