Find the value of the following polynomial at the indicated value of the variable:
$q(y) = 5y^3 - 4y^2 + 14y - \sqrt{3}$ at $y = 2$
$q(y) = 5y^3 - 4y^2 + 14y - \sqrt{3}$ at $y = 2$
(N/A) $q(y) = 5y^3 - 4y^2 + 14y - \sqrt{3}$
Replacing $y$ with $2$,we get:
$q(2) = 5(2)^3 - 4(2)^2 + 14(2) - \sqrt{3}$
$= 5(8) - 4(4) + 28 - \sqrt{3}$
$= 40 - 16 + 28 - \sqrt{3}$
$= 24 + 28 - \sqrt{3}$
$= 52 - \sqrt{3}$
Therefore,the value of $q(y)$ at $y = 2$ is $52 - \sqrt{3}$.
Replacing $y$ with $2$,we get:
$q(2) = 5(2)^3 - 4(2)^2 + 14(2) - \sqrt{3}$
$= 5(8) - 4(4) + 28 - \sqrt{3}$
$= 40 - 16 + 28 - \sqrt{3}$
$= 24 + 28 - \sqrt{3}$
$= 52 - \sqrt{3}$
Therefore,the value of $q(y)$ at $y = 2$ is $52 - \sqrt{3}$.
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