| Topic | Problem | Solution |
|---|---|---|
| None | \( 2 \times 9 \) | \( 2\times 9 = 18 \) |
| None | \( \sin 32^{\circ}=\cos x \) | \( \sin 32^{\circ} = \cos x \) |
| None | Write the equation of the line that passes throug… | 1. \( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1-4}{-1-0} = \frac{-3}{-1} = 3 \) |
| None | \( 9 \times 9= \) | \( 9 \times 9 = 81 \) |
| None | Solve: \( \left\{\begin{array}{l}2 x^{2}-6 y^{2}=… | \( x^{2} = 51 - 3y^{2} \) |
| None | 1. Establish the identity: \[ (\csc \theta-\cot \… | \( (\csc \theta - \cot \theta)^{2} = \cfrac{1}{\sin^{2}\theta} - 2\cfrac{\cos\theta}{\sin^{2}\theta… |
| None | \( 5 x^{2}+3 x+1=0 \) | \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\) |
| None | 29. (a) In this part you may use this Venn diagra… | \(n(F \cap S) = n(F) + n(S) - n(F \cup S)\) |
| None | Calculate the work required to pump water into th… | \(V = \frac{1}{3}\pi h r^2 \) |
| None | Fid the value of \( k \) such that the tangent li… | \( f'(x) = \frac{-2(k+x)}{x^{3}} \) |
| None | \( \begin{array}{r}3 \frac{1}{3} \\ +\quad 7 \fra… | \( 3 \frac{1}{3} = 3 + \frac{1}{3} \) |
| None | A bike accelerates uniformly from rest to a speed… | Step 1: Rearrange the equation: \(v^{2} = u^{2} + 2as\) to solve for acceleration. Given that \(v =… |
| None | If a 15kg ball takes 32 seconds to strike the gro… | Find time (t) using given information: t = 32s |
| None | Exercise 6. Show that the following polynomials a… | \(A\): Apply Eisenstein's Criterion on \(A=x^{4}-4 x^{3}+6\) with prime \(p=2\): \(2 \nmid 1, 2 | 4… |
| None | Evaluate \( { }_{9} P_{3} \) | \( { }_{9} P_{3} = \frac{9!}{(9 - 3)!} \) |
| None | Divide the following complex numbers: \( \frac{2+… | \(\frac{2+i}{3-2i} \cdot \frac{3+2i}{3+2i}\) |
| None | Factor the polynomial \( g^{2}+7 \). Select one: … | \(g^2 + 7 = g^2 + 7 - 0g \) |
| None | Which decimal number is about equal to \( \frac{1… | \( x = \frac{1}{9} \) |
| None | If \( \mathrm{ABCD} \) is a square of side length… | \( \triangle ABC \) is a right-angled triangle with legs \( AB \) and \( BC \) each of length \( 6 … |
| None | Area of a triangle is equal to .....of area of a … | \(A_{triangle} = \frac{1}{2} \times b \times h_{triangle}\) |
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