The number of board feet in a 16 foot long tree is approximated by the model f(d) = 0.77d^2 -- 1.32d -- 9.31 where f is the number of board feet and d is the diameter (in inches) of the log. what diameter tree will produce the minimum number of board feet?

we are given

where

F is the number of board feet

d is the diameter (in inches) of the log

Since, we have to minimize F

so, firstly we will find it's derivative

now, we can set it to 0

and then we can solve for d

so, we get diameter as

..............Answer

step-by-step explanation:

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