Does anyone know the answer to this question
1 answer:
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Answer:
The graph in the attached figure
Step-by-step explanation:
we have
using a graphing tool
see the attached figure
The local maximum is the point
The local minimum is the point
The zeros of the function are ,
,
The box should have base 52 cm by 52 cm and height 26 cm.
What is volume?
A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.
The Volume of a box with a square base x by x cm and height h cm is
Since the surface area directly affects the amount of material used, we can reduce the amount of material by reducing the surface area.
The surface area of the box described is
We need A as a function of x alone, so we'll use the fact that
⇒
So, the area becomes,
We want to minimize A, so
The second derivative test verifies that A has a minimum at this critical number:
which is positive at x = 52.
Now,
Hence, The box should have base 52 cm by 52 cm and height 26 cm.
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