Let $g(z) = - 2 z^{3} + 3$.

Calculate the slope of the secant line from $z=-10$ to $z=0$.

Slope =

Calculate the slope of the secant line from $z=m$ to $z=k$.

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Given the function \[ g( t ) = e^{t^{3} - 52 t + 96}, \] calculate the slope of the tangent line at the point $t=2$.

tangent line slope =

Do not round or approximate your answer.