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<span>The length of a rectangular prism is 5 more than twice the width w. The volume of the prism is 2w^3 + w^2 + 5w. What's the simplified expression for the height of the prism
</span>
<span>V=f(w)
</span><span>2w^3 + w^2 + 5w
</span><span>v=w^2*l
</span><span>svl
l=v/w^2
</span>
<span>V=w^2*(2*w+5)
</span>
<span>2w^3 + w^2 + 5w=w^2*(2*w+5)
</span><span>(2*w+5)= (2w^3 + w^2 + 5w)/w^2
w=5/4</span>
If you don't know the first derivative of 
, but you do for 
and 
, you can derive the former via the quotient rule:
or if you know the derivative of 
:
As for the second derivative, you can use the power/chain rules:
or if you don't know the derivative of 
,
which is the same as the previous result since
Answer:
10/16= 0.625, 16+0.625= 16.625
16.625*0.45=7.481kg =7481mg
Letters represent variables. A variable can be used as a replacement for a number that we do not yet know. A variable can represent a number.
