Neco 2020 Further Mathematics Question 8

Practice objective / multiple choice question 8 from the 2020 Neco Further Mathematics examination.

Neco 2020 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 8 NECO • 2020 • FURTHER_MATHEMATICS • objective

For the curve \( y = \frac{x^{3}}{3} - 2x^{2} + 5x - 1 \), find the point on the curve where the tangent is parallel to the line \( 3x - y + 2 = 0 \) and \( x < 3 \). Then write the equation of the normal line at that point in the form \( y = mx + c \).

Answer Options

Correct Answer A. y = -\frac{1}{3}x + \frac{13 - 6\sqrt{2}}{3}
B. y = \frac{1}{3}x + \frac{13 - 6\sqrt{2}}{3}
C. y = -\frac{1}{3}x + \frac{13 + 6\sqrt{2}}{3}
D. y = -\frac{1}{3}x + \frac{13 - 3\sqrt{2}}{3}
Correct Answer
A
Correct Option:
y = -\frac{1}{3}x + \frac{13 - 6\sqrt{2}}{3}

About This Question

This is Neco 2020 Further Mathematics Question 8. It is one of the objective questions from the 2020 Neco Further Mathematics examination.

Difficulty level: Medium .

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