Question

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

Answer 1

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

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