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Waec 2011 Further Mathematics Past QuestionsQuestion 11:\(f(x) = p + qx\), where p and q are constants. If f(1) = 7 and f(5) = 19, find f(3). A. 13 B. 15 C. 17 D. 26 Question 12:The sum and product of the roots of a quadratic equation are \(\frac{4}{7}\) and \(\frac{5}{7}\) respectively. Find its equation. A. \(7x^{2} - 4x - 5 = 0\) B. \(7x^{2} - 4x + 5 = 0\) C. \(7x^{2} + 4x - 5 = 0\) D. \(7x^{2} + 4x + 5 = 0\) Question 13:\(f(x) = (x^{2} + 3)^{2}\) is defines on the set of real numbers, R. Find the gradient of f(x) at x = \(\frac{1}{2}\). A. 4.0 B. 6.5 C. 5.0 D. 10.6 Question 14:Find \(\lim \limits_{x \to 3} \frac{x + 3}{x^{2} - x - 12}\) A. -1 B. \(\frac{-1}{7}\) C. \(\frac{1}{7}\) D. 1 Question 15:If \(y^{2} + xy - x = 0\), find \(\frac{\mathrm d y}{\mathrm d x}\). A. \(\frac{1 - y}{2y}\) B. \(\frac{1 - 2y}{x}\) C. \(\frac{1 - y}{x + 2y}\) D. \(\frac{1}{x + 2y}\) |
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