| Topic | Problem | Solution |
|---|---|---|
| None | State whether the sequence, whose $n$th terms are… | State whether the sequence, whose $n$th terms are indicated, is bounded and whether it is eventuall… |
| None | Find the limit of the sequence, using L'Hôpital's… | We are given the sequence \(\frac{\sqrt{n}}{\sqrt{n+4}}\) and asked to find its limit as n approach… |
| None | Find the limit of the sequence, using L'Hôpital's… | We are given the sequence \(\frac{n^{2}}{8^{n}}\) and asked to find its limit as n approaches infin… |
| None | Find a formula $a_{n}$ for the $n$th term of the … | The given equation seems to be incorrect as it simplifies to \(-1=8\), which is not possible. Howev… |
| None | For the sequence, determine if the divergence tes… | The divergence test states that if the limit of a sequence as n approaches infinity is not zero, th… |
| None | Let $f(x)=\frac{3 x-6}{x^{2}+8 x+15}=\frac{(3 x-6… | First, we simplify the function $f(x)=\frac{3 x-6}{x^{2}+8 x+15}=\frac{3(x-2)}{(x+5)(x+3)}$ |
| None | Let $f(x)=\frac{3 x-6}{x^{2}+8 x+15}=\frac{(3 x-6… | Let $f(x)=\frac{3 x-6}{x^{2}+8 x+15}=\frac{(3 x-6)}{(x+5)(x+3)}$ |
| None | Question 3 Let $f(x)=\frac{3 x-6}{x^{2}+8 x+15}=\… | The domain of a function is the set of all possible input values (often the 'x' variable), which pr… |
| None | From a sample with $n=24$, the mean number of tel… | We are given a sample of 24 households, with the mean number of televisions per household being 4 a… |
| None | (2) For the rule $y=3 x-4$, find the value of $y$… | We are given a linear equation \(y=3x-4\) and we need to find the value of \(y\) for \(x=2\) and \(… |
| None | What is the gram-formula mass of \( \mathrm{Ca}_{… | \( \mathrm{Ca}_{3}\left(\mathrm{PO}_{4}\right)_{2} \Rightarrow 3 \times \mathrm{Ca} + 2 \times \lef… |
| None | 4. Your new job requires you to calculate the mat… | Given the radius of the fabric sample is \(6.3 \times 10^{-8} \mathrm{mm}\) and we are asked to use… |
| None | Which is the correct work to convert 50 square in… | The question is asking to convert square inches to square centimeters. The conversion factor from i… |
| None | Suppose that $y$ is directly proportional to $x$.… | Given that $y$ is directly proportional to $x$, we can write the equation as $y = kx$. |
| None | The circle has center \( O \). Its radius is \( 6… | \(\frac{\text{Central angle}}{360^{\circ}} \cdot \text{Area of the circle}\) |
| None | 8. Write the equation described by the following … | The parent function is \(f(x)=4^{x}\). |
| None | 11. Determine if it is possible to form a triangl… | The sum of any two sides of a triangle must be bigger than the third side. |
| None | Reginald wants to buy a new collar for each of hi… | Reginald wants to buy a new collar for each of his 2 dogs. The collars come in a choice of 7 differ… |
| None | 7. (a) Find the interval of convergence for $f(x)… | (a) We use the Ratio Test to find the interval of convergence. The Ratio Test states that if \(\lim… |
| None | 5. Let $A, B$, and $C$ be sets. Prove that \[ |A … | Let $A, B$, and $C$ be sets. We are asked to prove that \[|A \cup B \cup C|=|A|+|B|+|C|-|A \cap B|-… |
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