| Topic | Problem | Solution |
|---|---|---|
| None | \( \begin{array}{l}9\left(x^{2}-2\right) \\ =9 x-… | \( 9(x^2 - 2) = 9x - 18 \) |
| None | \( 9\left(x^{2}-2\right) \) | \( 9\left(x^{2}-2\right) = 9x^{2} - 9(2) \) |
| None | 1. Determine the distance between the point \( (-… | Let origin be A(0,0) and point be P(-8, 4) |
| None | Is \( (-5,-5) \) a solution to the equation \( y=… | Substitute x=-5 and y=-5 into the equation y=x |
| None | Find the derivative of $f(x)=2 x^{4} 5^{9 x+1}$ $… | Given the function \(f(x)=2 x^{4} 5^{9 x+1}\) |
| None | Find the equation of the linear function represen… | The equation of a linear function is given by the formula \(y = mx + b\), where \(m\) is the slope … |
| None | QUESTION 7 Find the compound amount for the depos… | \(A = P(1 + \frac{r}{n})^{nt}\) |
| None | 4.1. $(x d x+y d y) \wedge(-y d x+x d y)$ | Given two differential forms: \((x dx + y dy)\) and \((-y dx + x dy)\). We need to calculate their … |
| None | Use the given conditions to write an equation for… | Given a point $(-5, -2)$ and a line parallel to $y = -5x + 5$ |
| None | If \( f(1)=7 \) and \( f(n)=f(n-1)-4 \) then find… | \( f(2) = f(1) - 4 = 7 - 4 = 3 \) |
| None | 6 Two boys, Shawn and Curtis, went far a walk. Sh… | Let s be the distance both Shawn and Curtis walked. Let t be the time Shawn walked for. Then, s=5t … |
| None | The ratio of dogs to cats is $5: 3$ The ratio of … | Let the number of dogs be 5x and the number of cats be 3x. |
| None | 20. The length of a rectangular patio is 7 feet a… | \( A_{patio} = 7 \times 6 \) |
| None | As an assignment, two students in a surveying cla… | Let P be the pine tree, O be the oak tree, and S be the survey point |
| None | Convert the following value: \[ 2965101 \mathrm{m… | 2965101 \mathrm{mw}\cdot \frac{1 \mathrm{kw}}{1000 \mathrm{mw}} |
| None | a. Rewrite the equation $5 x+y-1=0$ in slope-inte… | Rewrite the equation in slope-intercept form: $y = -5x + 1$ |
| None | Determine the values of $a$ and $b$ which would r… | For the function to be differentiable at x=5, it must be continuous at x=5. So, we first find the v… |
| None | Given the piecewise function defined below, answe… | To make the function continuous, both expressions must have the same value when \(x=1\). |
| None | The function $f$ is given by $f(x)=10 e^{-3 x}+1$… | First, we need to find the derivative of the function f(x), which represents the slope of the tange… |
| None | \( x^{4}+4=y \) | \(x^{4}+4-y=0\) |
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