| Topic | Problem | Solution |
|---|---|---|
| None | 6. $[-/ 1$ Points $]$ DETAILS SCALC9 4.3.017. MY … | The problem is asking for the derivative of the function \(y=\int_{4}^{3 x+5} \frac{t}{1+t^{3}} dt\… |
| None | 13. [-/1 Points] DETAILS SCALC9 4.4.023. MY NOTES… | Given the definite integral \(\int_{-2}^{3}\left(x^{2}-3\right) d x\) |
| None | 14. [-/1 Points] DETAILS SCALC9 4.4.027. MY NOTES… | The given function is \((2x-6)(4x^2+3)\). |
| None | 11. [-/1 Points] DETAILS SCALC9 4.4.010. MY NOTES… | The integral of a function can be found using the power rule for integration, which states that the… |
| None | The area of a rectangle is $42 \mathrm{~m}^{2}$, … | Let's denote the width as x and the length as y. Then we have two equations: 1) y = 2x + 5 and 2) x… |
| None | Boyle's Law says that the volume of a gas varies … | Boyle's Law states that the product of the pressure and volume for a gas is a constant for a fixed … |
| None | 3. Danielle said she read $\frac{1}{2}$ of a book… | Danielle said she read \(\frac{1}{2}\) of a book. We are asked to select all the fractions that are… |
| None | Elsa is putting money into a checking account. Le… | Let's denote the total amount of money in the account (in dollars) as \(y\) and the number of weeks… |
| None | for a triangle? A. $8,8,9$ B. $4,9,4$ C. $3,8,12$ | Given sets of numbers are A. $8,8,9$, B. $4,9,4$, and C. $3,8,12$. We need to check if these sets c… |
| None | A motorboat travels 78 kilometers in 2 hours goin… | Let's denote the rate of the boat in still water as \(b\) and the rate of the current as \(c\). |
| None | Which of the following are possible side lengths … | The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sid… |
| None | Which of the following are possible side lengths … | In order for a set of three numbers to be the side lengths of a triangle, they must satisfy the tri… |
| None | The volume of a rectangular prism is 10 cubic fee… | Calculate the volume for each option: \(V = lwh\) |
| None | A circle has a radius of $11 \mathrm{~cm}$. Find … | The radian measure of a central angle is given by the formula \(\theta = \frac{s}{r}\), where \(s\)… |
| None | Solve the exponential equation. Express irrationa… | The given equation is in the form of a * b^x = c. To solve for x, we can first divide both sides by… |
| None | 17 A rectangular swimming pool is 10 meters long … | Given a rectangular swimming pool with length = 10 meters, width = 4.5 meters, and volume of water … |
| None | $\sqrt{a^{3} b^{2}} \cdot \sqrt{a^{4} b^{9}}$ | The question is asking to simplify the expression \(\sqrt{a^{3} b^{2}} \cdot \sqrt{a^{4} b^{9}}\). |
| None | Find all solutions of the equation in the interva… | We can write the equation as \[\frac{1}{\tan \theta} + \sqrt{3} = 0.\] |
| None | Find the slope $m$ and the $y$-intercept $b$ of t… | The given equation is in the form of \(ax - y = b\). We can rewrite this equation in the form of \(… |
| None | Use a sum or difference formula to find the exact… | The given expression is in the form of the tangent difference formula, which is given by: \[\tan(\a… |
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