| Topic | Problem | Solution |
|---|---|---|
| None | Find $(f+g)(x)$ when $f(x)=5 x^{2}-3 x+1$ and $g(… | Given functions are $f(x)=5 x^{2}-3 x+1$ and $g(x)=2 x-6$ |
| None | a. For the function and point below, find $f^{\pr… | Given the function \(f(x)=\frac{3}{\sqrt{x}}\) and the point \(a=\frac{1}{4}\). |
| None | Determine the following indefinite integral. Chec… | We are given the integral \(\int \sqrt[5]{r^{4}} dr\), which is of the form \(\int x^n dx\), where … |
| None | Suppose that the functions $g$ and $h$ are define… | We are given two functions, \(g(x) = \frac{2}{x}\) and \(h(x) = x^2 - 4\). We are asked to find the… |
| None | Part 1 of 5 Estimate the area under $f(x)=3 x+10$… | We are asked to estimate the area under the curve \(f(x)=3x+10\) on the interval \([0,3]\) using \(… |
| None | Use implicit differentiation to find $y^{\prime}$… | The given equation is \(x^{2} y-3 x^{3}+8=0\). We need to find the derivative of \(y\) with respect… |
| None | The graph of $f$ is translated a whole number of … | The graph of function f is translated a whole number of units horizontally and vertically to obtain… |
| None | 10. Write the following in decimal notation: $9.5… | The question is asking to convert a number in scientific notation to decimal notation. In scientifi… |
| None | What is $f_{x}$ if $f(x, y)=x^{2} y^{2}+x^{y}$ ? … | The question is asking for the partial derivative of the function \(f(x, y)=x^{2} y^{2}+x^{y}\) wit… |
| None | The cost of a scarf is twice that of a hat. 1 sca… | Let \(x\) be the cost of a hat and \(2x\) be the cost of a scarf. We can then rewrite the problem a… |
| None | Three computers are chosen at random from an inve… | We are choosing 3 computers from an inventory of Dell and Acer computers. We are assuming that the … |
| None | The motion of a point on the circumference of a r… | Given the position vector function of a point on the circumference of a rolling wheel of radius 5 f… |
| None | At how many points does the graph of the function… | Given the quadratic function \(y=25x^{2}-10x+1\), we are asked to find at how many points the graph… |
| None | Sebastian deposits $\$ 1,300$ every quarter into … | Given that Sebastian deposits $1300 every quarter into an account earning an annual interest rate o… |
| None | The logistic growth function $f(t)=\frac{105,000}… | The logistic growth function \(f(t)=\frac{105,000}{1+4600 e^{-t}}\) describes the number of people,… |
| None | A piece of rectangular sheet metal is 20 inches w… | The restrictions on $x$ are $0<x<10$. |
| None | Find $\vec{T}, \vec{N}$ and $\vec{B}$ for the cur… | Given the curve \(\vec{r}(t)=\langle 3 \cos (4 t), 3 \sin (4 t), 2 t\rangle\) |
| None | Find the curvature of the curve $\vec{r}(t)=\lang… | Given the curve \(\vec{r}(t)=\langle 4 \cos (3 t), 4 \sin (3 t), 4 t\rangle\) |
| None | $x^{2}-10 x+25=0$ | Given the quadratic equation: \(x^2 - 10x + 25 = 0\) |
| None | Find the difference. \[ \frac{8}{x^{2}-9 x}-\frac… | The problem is asking for the difference between two fractions. To find the difference between two … |
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