cfdewar2168 cfdewar2168
  • 11-06-2021
  • Mathematics
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The functions s(V)=3v describes the side lengths, in units, of a cube with the volume of V cubic units

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MrRoyal
MrRoyal MrRoyal
  • 11-06-2021

Answer:

[tex]s(v) \ge 4[/tex]

Step-by-step explanation:

Given

[tex]s(v) = \sqrt[3]{v}[/tex]

[tex]v = 64[/tex] ---- minimum

Required

The range of s

s represents the side length of the cube.

So, first we solve for s in [tex]s(v) = \sqrt[3]{v}[/tex]

Substitute [tex]v = 64[/tex]

[tex]s = \sqrt[3]{64}[/tex]

[tex]s = 4[/tex]

This means that [tex]s = 4[/tex] when [tex]v = 64[/tex]

In other words, the minimum value of s is 4

Hence, the range is:

[tex]s(v) \ge 4[/tex]

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