| Topic | Problem | Solution |
|---|---|---|
| None | Show Intro/Instruc The function $f$ represents $y… | The function $f$ represents $y$ in terms of $x$. If $f(x)=3-5 x$, we are asked to determine the for… |
| None | Tax/Tip/Percent You pay $\$ 56.20$ for your meal,… | Let x be the original meal amount. Then, the equation can be written as: \(x + 0.20x = 56.20\) |
| None | \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline-… | The function \(f^{-1}(x)\) is the inverse of the function \(f(x)\). |
| None | If $n(x)=3 x^{2}+2 x-1$ and $s(x)=x-3$, what is $… | Given the functions $n(x)=3 x^{2}+2 x-1$ and $s(x)=x-3$, we are asked to find the value of $n(s(x))… |
| None | \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline-… | The variables $x$ and $y$ in the table are in a linear relationship that is not necessarily proport… |
| None | Suppose $x$ and $y$ vary together such that $4 x+… | The question is asking for the rate of change of $y$ with respect to $x$. This is essentially askin… |
| None | Solving \& graphing equivalent inequalities with … | Find the inequality representing the total cost: \(6 + 3x \leq 12\) |
| None | Which of the following describes the difference b… | The question is asking about the difference between $x$ and $\Delta x$. In mathematics, $x$ is ofte… |
| None | Unit rate word/mult divide fractions Alex makes $… | Divide the total amount by the total hours: \(\frac{650}{40}\) |
| None | The motion of water on the surface of a cylindric… | First, we need to find the curl of the vector field F. The curl of a vector field F = P(x, y, z)i +… |
| None | $\begin{array}{l}y=3 \sin x \cos x+2 \tan x \quad… | We are given the function \(y=3 \sin x \cos x+2 \tan x\) and we are asked to find the derivative at… |
| None | Let $f(x)=x+\frac{1}{x}$ and $g(x)=e^{x}$. The $f… | Let \(f(x)=x+\frac{1}{x}\) and \(g(x)=e^{x}\). We want to find the value of \(f(g(0))\). |
| None | Find the $x$-locations of intersection for $y=x^{… | Set the two functions equal to each other: \(x^{2} - 3x - 7 = 2x^{2} + 8x + 3\) |
| None | Use the Divergence Theorem to calculate the flux … | Given the vector field \(\mathbf{F}(x, y, z)=(x y+2 x z) \mathbf{i}+\left(x^{2}+y^{2}\right) \mathb… |
| None | Rewrite $\sin \left(\tan ^{-1} \frac{v}{2}\right)… | Let's rewrite \(\sin \left(\tan ^{-1} \frac{v}{2}\right)\) as an algebraic expression in v. |
| None | Find $\frac{d y}{d x}$ at $x=\frac{\pi}{4}$, when… | Given the function \(y = 3\sin(x)\cos(x) + 2\tan(x)\) |
| None | How would you use the unit circle to find $\sin \… | The unit circle is a circle with a radius of 1 that is centered at the origin of the coordinate pla… |
| None | Espafiol Martina, Ryan, and Hans sent a total of … | Let's denote the number of messages Martina, Ryan, and Hans sent as M, R, and H respectively. |
| None | In the circle below, if arc $A B=124^{\circ}$, an… | Given that the measure of arc AB is 124 degrees and the measure of angle BPA is 32 degrees. |
| None | Convert each polar equation to rectangular form. … | Given the polar equations $r \cos \theta=3$ and $r=-7$, we are to convert these to rectangular form. |
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