| Topic | Problem | Solution |
|---|---|---|
| None | $\frac{x+3}{7}=\frac{x}{5}$ | Cross-multiply to eliminate fractions: $5(x+3) = 7x$ |
| None | 5. $3(x-2)-\left(x^{2}-5\right)$ | Given the expression $3(x-2)-(x^{2}-5)$ |
| None | 26. Determine the length of chord CD. [4 marks] | Let the center of the circle be O, and let the point where the radius of the circle bisects the cho… |
| None | The rate of growth of a certain cell culture is p… | Given that the initial population (P0) is 1 million cells and after 8 hours the population (P8) gre… |
| None | 1. Algebraically solve the following inequality: … | Rewrite the inequality in the standard form: \(5x^2 + 18x - 8 \geq 0\) |
| None | $(4+x) \cdot 3=16$ | \( (4+x) \cdot 3 = 16 \) |
| None | Find the maximum rate of change of the function $… | Given the function \(f(x, y)=\frac{5 y^{2}}{x}\), we are asked to find the maximum rate of change a… |
| None | Suppose that $f(x, y)=x y$. The directional deriv… | Given the function \(f(x, y) = xy\), we want to find the directional derivative at the point \((-1,… |
| None | Rebecca won some tokens at the arcade. She had a … | Rebecca won some tokens at the arcade. She had a hole in her pocket, so she ended up losing 5 of th… |
| None | A craft store has 540 packs of yarn on sale. The … | \( \frac{540}{0.65} \) can't be used, use \( 540 \times 0.65 \) |
| None | 14. Given that $\frac{\pi^{4}}{18}=\sum_{n=1}^{\i… | Given that \(\frac{\pi^{4}}{18}=\sum_{n=1}^{\infty} \frac{5}{n^{4}}\), we are asked to find \(\sum_… |
| None | A study was conducted that found $46.9 \%$ of all… | A study found that 46.9% of all smartphone users in the US had an iPhone. If we randomly sample 40 … |
| None | Question 5 of 10 Which function results after app… | The original function is \(f(x)=x^{5}\). |
| None | 31. What is the value of $y$ in the equation, \[ … | First, we need to simplify the equation and solve for y. |
| None | b) Aire $=12 x^{3}-18 x$ | Find the first derivative of the function: \(f'(x) = 36x^2 - 18\) |
| None | 2. Let $f$ be the function defined by $f(x)=-\fra… | We are given the function \(f(x)=-\frac{1}{x+10}\). |
| None | Find the intervals on which the graph of $f$ is c… | Given the function \(f(x)=-x^{4}+28 x^{3}-28 x+3\), we need to find the intervals on which the grap… |
| None | Find the indicated derivative for the function. \… | The given function is \(f(x) = 3x^{5} - 9x^{2} + 2x - 3\). |
| None | Find the intervals on which $f(x)$ is increasing,… | The function given is a quadratic function. The graph of a quadratic function is a parabola. If the… |
| None | A study was conducted of college students that st… | Given values are: population mean (\(\mu\)) is 12.7, population standard deviation (\(\sigma\)) is … |
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