| Topic | Problem | Solution |
|---|---|---|
| None | The function $f(x)=\sin (9 x)$ has a Maclaurin se… | The Maclaurin series for \(\sin x\) is given by \(\sin x = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \f… |
| None | Approximate the value of the series to within an … | The given series is an alternating series. The error in approximating the sum of an alternating ser… |
| None | Determine whether the following series converges … | Determine whether the following series converges or diverges: \[\sum_{n=1}^{\infty} \frac{\cos (n \… |
| None | Compute the value of the following improper integ… | First, we can rewrite the integral as follows: \[\int_{1}^{\infty} 8 x^{2} e^{-x^{3}} d x = 8 \int_… |
| None | Find the exact length of the polar curve $r=\cos … | First, we need to find the length of the polar curve $r=\cos^{4}(\theta / 4)$. The formula for the … |
| None | Find the slope of the tangent to the curve $r=4-4… | We are given the polar equation \(r=4-4 \cos \theta\) and we are asked to find the slope of the tan… |
| None | 15. Write this ratio as a percent by using a prop… | First, we need to write the ratio as a fraction: \(\frac{112}{160}\). |
| None | 3. Find the solution and round the answer to the … | Set up the equation: \(0.35 * x = 8\) |
| None | 4. Change the word sentence into a math equation.… | The question is asking to convert a word sentence into a mathematical equation. The sentence is '21… |
| None | 1. Write the ratio as a percent by using a propor… | Write the ratio as a percent by using a proportion and then find the percent which is equivalent to… |
| None | 1. Write a proportion that represents the problem… | Given that it takes a copy machine 3 minutes to make 80 copies, we are asked to find out how long i… |
| None | Question 2 (1 point) Compared to the graph of the… | The function $g(x)=(x-9)^{2}+4$ is a transformation of the base function $y=x^{2}$. The transformat… |
| None | Find the value of $x$ if the area of the rectangl… | Let's find the value of $x$ if the area of the rectangle is 78 with the dimensions $x+7$ and $x$. |
| None | 8. A leather jacket has a sale price of $\$ 102$.… | The problem is asking for the original price of the jacket. Given that the sale price is one-third … |
| None | Encontre o ângulo (em graus) entre a reta $r$ e o… | Seja \(\mathbf{dr} = [7, -10, 3]\) o vetor direção da reta e \(\mathbf{n} = [-2, 7, -10]\) o vetor … |
| None | 16. Bill's $\frac{3}{8}$ inch drill bit is missin… | We need to find the drill bit size that is closest to \(\frac{3}{8}\) inch. We can do this by calcu… |
| None | 2. To make cherry turnovers, a cook cuts the doug… | The area of each turnover is given by the formula for the area of a triangle, which is \(\frac{1}{2… |
| None | 4. Bob's motorcycle can travel 85 miles on one ga… | Given that Bob's motorcycle can travel 85 miles on one gallon of gasoline, we need to find out how … |
| None | 3. Match the problem with one of the following eq… | Match the problem with one of the following equations where $x$ represents the unknown in the probl… |
| None | 11. Use this situation for the following problem.… | Over the past nine games, Tina's point total for each game was 14, 18, 13, 18, 25, 13, 2, 5, and 18. |
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