英语翻译Consider the cubic function:f(x)=2x^3+6x^2-4.5x-13.5.Sta
英语翻译
Consider the cubic function:f(x)=2x^3+6x^2-4.5x-13.5.
State the roots of this cubic and confirm using the Remainder Theorem.Then,taking the roots two at a time,find the equations of the tanggent linges to the average of two of the three roots.Find where the tangent lines at the average of the two roots intersect the curve again.Does this observation hold regardless of which two roots you average?State a conjecture concerning the roots of the cubic and the tagent lines at the average value of these roots.
Consider the cubic function:f(x)=2x^3+6x^2-4.5x-13.5.
State the roots of this cubic and confirm using the Remainder Theorem.Then,taking the roots two at a time,find the equations of the tanggent linges to the average of two of the three roots.Find where the tangent lines at the average of the two roots intersect the curve again.Does this observation hold regardless of which two roots you average?State a conjecture concerning the roots of the cubic and the tagent lines at the average value of these roots.
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