| Topic | Problem | Solution |
|---|---|---|
| None | The function $h(t)=-3 t^{2}+5 t+22$ describes the… | The function \(h(t)=-3 t^{2}+5 t+22\) describes the height of a ball, where \(h\) is the ball's hei… |
| None | $b$ varies inversely as $c$. If $b=4$ when $c=8$,… | The problem states that $b$ varies inversely as $c$. This means that the product of $b$ and $c$ is … |
| None | $z$ varies inversely as $t$. If $z$ is 35 when $t… | The problem states that $z$ varies inversely as $t$. This means that the product of $z$ and $t$ is … |
| None | $x$ varies directly as $p$. If $x=32$ when $p=16$… | The problem states that $x$ varies directly as $p$. This means that $x$ and $p$ are directly propor… |
| None | $\int \frac{3}{6+3 x} d x, x \neq-2$ | This is a simple integral problem. The integral of a function f(x) is the area under the curve of t… |
| None | A 20 - $\mathrm{ft}$-long wire is to be tied from… | This is a right triangle problem. The wire forms the hypotenuse of the triangle, the pole forms one… |
| None | The value of $\sqrt{203}$ is between the two cons… | The square root of a number is the value that, when multiplied by itself, gives the original number… |
| None | Which of the following functions are positive, co… | Check each function one by one to see if it is positive, continuous, and decreasing on an interval … |
| None | A rectangle has a perimeter of $66 \mathrm{~cm}$.… | A rectangle has a perimeter of 66 cm. If the width is 14 cm, we are asked to find the length. |
| None | 10. $[-/ 1$ Points] DETAILS SCALC9 3.3.025. MY NO… | Given the derivative of a function $f$ is $f^{\prime}(x)=(x-5)^{6}(x+8)^{9}(x-4)^{8}$, we need to f… |
| None | MAT100-30 COLLEGE ALGEBRA 2023-2 $\leftarrow 11.0… | The problem is asking for a linear function that represents the number of credits a student has aft… |
| None | 1. A circle has the equation $(x+3)^{2}+(y-4)^{2}… | The equation of the circle is given as \((x+3)^{2}+(y-4)^{2}=d\). The center of the circle is (-3, … |
| None | 6. [-/4 Points] MY NOTES DETAILS SCALC9 3.3.013. … | First, we find the derivative of the function \(f(x) = \frac{x^{2} - 63}{x - 8}\). The derivative i… |
| None | 5. [-/4 Points] DETAILS SCALC9 3.3.012. MY NOTES … | First, we need to find the derivative of the function \(f(x) = x^{2/3}(x - 8)\). The derivative wil… |
| None | MAT100-30 COLLEGE ALGEBRA 2023-2 $\leftarrow 11.0… | Looking at the given data, we see that increasing $t$ by five results in an increase in $P(t)$ of $… |
| None | Find the horizontal asymptote of the given functi… | Given the function \(h(x)=\frac{4-3 x}{-7 x+9}\) |
| None | Determine which of the rational functions given b… | The y-intercept of a function is the point where the graph of the function intersects the y-axis. T… |
| None | Find the horizontal asymptote of the given functi… | The horizontal asymptote of a rational function can be found by comparing the degrees of the numera… |
| None | Find the horizontal asymptote of the given functi… | Find the horizontal asymptote of the given function. \[g(x)=\frac{x^{2}+8 x-8}{x-8}\] |
| None | What are the equations of the vertical and the ho… | Set the denominator equal to zero and solve for x to find the vertical asymptote: \(x-2=0\) which g… |
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