3 years ago

Please help me i need this ASAP PLZ

Mathematics

1 answer:

Virty [35]3 years ago

3 0

What you need help on, like what do you need bro

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Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

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Step-by-step explanation:

see the attached figure to better understand the problem

we know that

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Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

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the width is negative (W=2-2x)

The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

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