Neco 2017 Further Mathematics Question 31

Practice objective / multiple choice question 31 from the 2017 Neco Further Mathematics examination.

Neco 2017 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 31 NECO • 2017 • FURTHER_MATHEMATICS • objective

If \( f(x)=x^{3}-6x^{2}+9x+2 \) and the chord joining the points \((1,f(1))\) and \((3,f(3))\) has slope \(m\), find the x‑coordinate greater than 2 of the point on the curve where the tangent is parallel to this chord. Then give the corresponding y‑coordinate.

Answer Options

Correct Answer A. 4-\frac{8\sqrt{3}}{9}
B. 4-\frac{4\sqrt{3}}{9}
C. 4-\frac{8\sqrt{6}}{9}
D. 4+\frac{8\sqrt{3}}{9}
Correct Answer
A
Correct Option:
4-\frac{8\sqrt{3}}{9}

About This Question

This is Neco 2017 Further Mathematics Question 31. It is one of the objective questions from the 2017 Neco Further Mathematics examination.

Difficulty level: Medium .

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