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mel-nik [20]
3 years ago
12

Please solve with explanation

Mathematics
1 answer:
castortr0y [4]3 years ago
6 0

Answer:

The amount of wood left is 36 9/16 in

Step-by-step explanation:

Here, we want to get the amount of wood left

To calculate this, we have to subtract what is cut and what is wasted from the original total length

So we have what is left as follows;

45 1/2 - 8 7/8 - 1/16

45 1/2 = 91/2

8 7/8 = 71/8

91/2 - 71/8 - 1/16

(728 - 142 - 1)/16

585/16 = 36 9/16 in

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with partial derivatives (set equal to 0)

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L_y=1+2\lambda y=0\implies y=-\dfrac1{2\lambda}
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For each possible value of \lambda, we get two corresponding critical points at (\mp3\sqrt3,\mp3\sqrt3,\pm3\sqrt3).

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