| Topic | Problem | Solution |
|---|---|---|
| None | There are 3 children in each of 3 different famil… | Let's find the total number of ways to choose 2 children from all the families. There are 9 childre… |
| None | Solve this equation by factorising: \[ y^{2}+3 y-… | Solve this equation by factorising: \(y^{2}+3 y-10=0\) |
| None | A particle is moving with the given data. Find th… | \(a(t) = t^2 - 5t + 3\) |
| None | $y=x^{2}+x-6$ | Given the equation: \(y=x^{2}+x-6\) |
| None | $2 \times 3=$ | \(2 \times 3\) |
| None | 19. Show that the equation $x^{2}-(2 a+b) x+a b=0… | Given the equation \(x^{2}-(2 a+b) x+a b=0\), we need to show that it has real roots for all values… |
| None | 16. For what values of $m$ does the quadratic equ… | Let's calculate the discriminant and set it equal to 0: \(D = b^2 - 4ac = (-4m)^2 - 4(5m - 3)(m + 1… |
| None | $\left\{\begin{array}{l}2 x+y=9 \\ x=6 y-2\end{ar… | \(\left\{\begin{array}{l}2 x+y=9 \\ x=6 y-2\end{array}\right.\) |
| None | The signal $x(t)$ is made up of a sum-of-sinusoid… | Given signal $x(t)$ is: |
| None | Question 8 Difficulty: Ill How many solutions, on… | Find the solutions for the equation \(\tan \theta = 1\) and \(\tan \theta = -1\) in the interval \(… |
| None | At a particular school $50 \%$ of children travel… | Let x be the total number of children attending the school. Then, we can set up the proportion: \(\… |
| None | 삼차함수 $g(x)$ 에 대하여 실수 전체의 집합에서 미분가능한 함수 $f(x)$ 를 \… | \(g(0)=0\) |
| None | Three times one number added to another number is… | Let the first number be x and the second number be y. The given equations are: |
| None | 7.) With what velocity must a satellite be inject… | Given the radius of the orbit, r = \(6.90 \times 10^{6}\) m, the gravitational constant, G = \(6.67… |
| None | 18. Simplify: $\frac{2 \tan x}{1+\tan ^{2} x}$ | Given expression: \(\frac{2 \tan x}{1+\tan ^{2} x}\) |
| None | 16. An equivalent expression to $\frac{\sin x+\co… | An equivalent expression to $\frac{\sin x+\cos x}{\csc x+\sec x}$ is |
| None | $-3$. Something's Fishy The Survivors are quickly… | Rewrite the equation in factored form: \(N = -2x(x - 28)\) |
| None | Eg 2. There are 10 seats in a row and three are e… | Let's find the number of ways to arrange 7 occupied seats and 3 empty seats in a row. We can use th… |
| None | $\begin{array}{r}14 \\ +35\end{array}$ | \(\begin{array}{r}14 \\ +35\end{array}\) |
| None | 5a) \[ \begin{array}{l} x+y=3 \\ x-y=7 \end{array… | \(\begin{array}{l} x+y=3 \\ x-y=7 \end{array}\) |
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