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sergejj [24]
3 years ago
12

The area of the base of a cylindrical container is defined by b(x) = x*2 - x + 12. Find

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
4 0

Answer: V=x^3-2x^2+13x-12

Step-by-step explanation:

Given

The area of the base is given by b(x)=x^2-x+12

The height of the container is h(x)=x-1

The volume of the cylindrical container is

V=Area\times height

Insert the values

\Rightarrow V=\left( x^2-x+12\right)\cdot \left(x-1\right)\\\Rightarrow V=x^3-x^2+12x-x^2+x-12\\\Rightarrow V=x^3-2x^2+13x-12

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