Waec Further Mathematics Questions
Question 52:
Given that \( a = \begin{pmatrix} 2 \\ 3 \end{pmatrix}\) and \(b = \begin{pmatrix} -1 \\ 4 \end{pmatrix}\), evaluate \((2a - \frac{1}{4}b)\).
- A \(\begin{pmatrix} \frac{17}{4} \\ 7 \end{pmatrix}\)
- B \(\begin{pmatrix} \frac{17}{4} \\ 5 \end{pmatrix}\)
- C \(\begin{pmatrix} \frac{17}{4} \\ 3 \end{pmatrix}\)
- D \(\begin{pmatrix} \frac{17}{4} \\ 2 \end{pmatrix}\)
Question 53:
If \(y = \frac{1+x}{1-x}\), find \(\frac{dy}{dx}\).
- A \(\frac{2}{(1-x)^{2}}\)
- B \(\frac{-2}{(1-x)^{2}}\)
- C \(\frac{-1}{\sqrt{1-x}}\)
- D \(\frac{1}{\sqrt{1-x}}\)
Question 54:
Evaluate \(\int_{-1}^{0} (x+1)(x-2) \mathrm{d}x\)
- A \(\frac{7}{6}\)
- B \(\frac{5}{6}\)
- C \(\frac{-5}{6}\)
- D \(\frac{-7}{6}\)
Question 55:
Simplify \(\frac{\sqrt{128}}{\sqrt{32} - 2\sqrt{2}}\)
- A \(2\sqrt{2}\)
- B \(3\sqrt{2}\)
- C 3
- D 4