ALL Problems

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}=…	$x^{2} = 51 - 3 y^{2}$
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	$5 x^{2} + 3 x + 1 = 0$	$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$
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…	$V = \frac{1}{3} π h r^{2}$
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: $v^{2} = u^{2} + 2 a s$ 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+…	$\frac{2 + i}{3 - 2 i} \cdot \frac{3 + 2 i}{3 + 2 i}$
None	Factor the polynomial $g^{2} + 7$ . Select one: …	$g^{2} + 7 = g^{2} + 7 - 0 g$
None	Which decimal number is about equal to \( \frac{1…	$x = \frac{1}{9}$
None	If $ABCD$ is a square of side length…	$△ A B C$ is a right-angled triangle with legs $A B$ and $B C$ each of length \( 6 …
None	Area of a triangle is equal to .....of area of a …	$A_{t r i a n g l e} = \frac{1}{2} \times b \times h_{t r i a n g l e}$

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