Gce Model Questions Vol1 2021 Further Mathematics Question 15

Practice objective / multiple choice question 15 from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2021 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 15 GCE_MODEL_QUESTIONS_VOL1 • 2021 • FURTHER_MATHEMATICS • objective

A particle moves on the parametric curve \(x = t^{2}+1,\; y = t^{3}-t\).\n(a) Find \(\displaystyle\frac{dy}{dx}\) at \(t = 2\).\n(b) Write the equation of the normal line to the curve at the point corresponding to \(t = 2\).\n(c) Determine the second derivative \(\displaystyle\frac{d^{2}y}{dx^{2}}\) at \(t = 2\).

Answer Options

A. dy\/dx = 11\/4; normal line: y-6 = 4\/11 (x-5); d²y\/dx² = 13\/30
B. dy\/dx = 9\/4; normal line: y-6 = -4\/9 (x-5); d²y\/dx² = 12\/32
C. dy\/dx = 11\/2; normal line: y-6 = -2\/11 (x-5); d²y\/dx² = 13\/16
Correct Answer D. dy/dx = 11/4; normal line: y-6 = -4/11 (x-5); d²y/dx² = 13/32
Correct Answer
D
Correct Option:
dy/dx = 11/4; normal line: y-6 = -4/11 (x-5); d²y/dx² = 13/32

About This Question

This is Gce Model Questions Vol1 2021 Further Mathematics Question 15. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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