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dsp73
3 years ago
6

A manufacturer uses a 17 x 42 metal sheet to construct

Mathematics
2 answers:
bonufazy [111]3 years ago
3 0

Answer:

Answer:

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

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the open-topped box is equal to

where

substitute

Convert to expanded form

using a graphing tool

Graph the cubic equation

Remember that

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

Because

If x>1

then

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

so

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

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

Sindrei [870]3 years ago
3 0

Answer:

ddfeeeeccccccc

Step-by-step explanation:

HOPE THIS HELPS:)

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<u>Answer</u><u> </u><u>:</u><u>-</u>

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