Further Mathematics Questions and Answers
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
350
455
462
571
Correct answer is C
No explanation has been provided for this answer.
If \(h(x) = x^{3} - \frac{1}{x^{3}}\), evaluate \(h(a) - h(\frac{1}{a})\)
-1
0
\(2a^{3} - \frac{2}{a^{3}}\)
\(\frac{2}{a^{3}} - 2a^{3}\)
Correct answer is C
\(h(x) = x^{3} - \frac{1}{x^{3}}\)
\(h(a) = a^{3} - \frac{1}{a^{3}}\)
\(h(\frac{1}{a}) = (\frac{1}{a})^{3} - \frac{1}{(\frac{1}{a})^{3}} = \frac{1}{a^{3}} - a^{3}\)
\(h(a) - h(\frac{1}{a}) = (a^{3} - \frac{1}{a^{3}}) - (\frac{1}{a^{3}} - a^{3}) = 2a^{3} - \frac{2}{a^{3}}\)
\(x^{3} - 4x - 9\)
\(x^{3} - 4x + 9\)
\(x^{3} + 4x - 9\)
\(x^{3} + 4x + 9\)
Correct answer is A
\(\frac{\mathrm d y}{\mathrm d x} = 3x^{2} - 4\)
\(y = \int (3x^{2} - 4) \mathrm {d} x = x^{3} - 4x + c\)
y = 6 when x = 3
\(6 = 3^{3} - 4(3) + c \implies 6 = 27 - 12 + c\)
\(c = 6 - 15 = -9\)
\(y = x^{3} - 4x - 9\)
45. 25 m
45.50 m
56.00 m
56.25 m
Correct answer is D
\(h = 45t - 9t^{2}\)
\(\frac{\mathrm d h}{\mathrm d t} = 45 - 18t = 0\)
\(45 = 18t \implies t = 2.5 s\)
\(h(2.5) = 45(2.5) - 9(2.5)^{2} = 112.5 - 56.25\)
= \(56.25 m.\)
\((4\sqrt{2} N, 000°)\)
\((4\sqrt{2} N, 045°)\)
\((4\sqrt{2} N, 090°)\)
\((4\sqrt{2} N, 180°)\)
Correct answer is B
\(F_{1} = (7i + 8j)N ; F_{2} = (3i + 4j)N\)
\(|F_{1} - F_{2}| = |(7i + 8j) - (3i + 4j)| = |4i + 4j|\)
\(|4i + 4j| = \sqrt{4^{2} + 4^{2}} = \sqrt{32} = 4\sqrt{2}\)
\(\tan \theta = \frac{y}{x} = \frac{4}{4} = 1\)
\(\theta = \tan^{-1} 1 = 045°\)
= \((4\sqrt{2} N, 045°)\)