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Mathematics Past Questions and Answers

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Jamb 2006 Mathematics Questions

Question 11:

Differentiate (x² - ¹/_x)² with respect to x

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A 4x<sup style='font-size: smaller;'>2</sup> - 4x - <sup style='font-size: smaller;'>2</sup>/<sub style='font-size: smaller;'>x</sub>
B 4x<sup style='font-size: smaller;'>2</sup> - 2 + <sup style='font-size: smaller;'>2</sup>/<sub style='font-size: smaller;'>x<sup style='font-size: smaller;'>3</sup></sub>
C 4x<sup style='font-size: smaller;'>2</sup> - 2 - <sup style='font-size: smaller;'>2</sup>/<sub style='font-size: smaller;'>x<sup style='font-size: smaller;'>3</sup></sub>
D 4x<sup style='font-size: smaller;'>2</sup> - 3x + <sup style='font-size: smaller;'>2</sup>/<sub style='font-size: smaller;'>x</sub>

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Question 12:

Find the value of x for which the function 3x³ - 9x is minimum

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A Zero
B 2
C 3
D 5

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Question 13:

If ^dy/_dx = x + cos x, find y

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A X<sup style='font-size: smaller;'>2</sup> - sin x + c
B X<sup style='font-size: smaller;'>2</sup> + sin x + c
C X<sup style='font-size: smaller;'>2</sup>/2 - sin x + c
D X<sup style='font-size: smaller;'>2</sup>/2 + sin x + c

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Question 14:

Differentiate (cos θ - sin θ)\(^2\)

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A -2 cos 2θ
B -2 sin2θ
C 1 - 2 cos 2θ
D 1 - 2 sin 2θ

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Question 15:

Evaluate \(\int_{-4}^0(1 - 2x)dx\)

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A -16
B -20
C 20
D 10

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