solve both the questions please!!!!
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A) 8,8 as 16/2 =8 and its the midvalue the product of both will give the maximum.
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Q• Divided 16 two parts such that their product is maximum.
Solution: Let one part = x
other part = (16-x)
their product, p = x(16-x) = 16x - x²
For the product, p to be maximum
dp/dx=0
d/dx(16x- x^2)=0
16-2x=0
2x=16
x=8
16-x=16-8 =8
So, product is maximum when we divide 20 into 2 parts as (10,10).
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