Topic | Problem | Solution |
---|---|---|
None | 28. Sharon grew $3 \mathrm{~cm}$ during the summe… | Let's denote Sharon's original height as \(x\). According to the problem, she grew 3 cm, which is 2… |
None | 27. After Tanya changed her oil, she was able to … | The problem is asking for the distance Tanya was able to drive before she changed her oil. We know … |
None | (h) $12.5 \%$ of what is $11 ?$ | We need to find a number such that 12.5% of it is 11. This can be represented by the equation \(0.1… |
None | (g) $25 \%$ of what is 11 ? | We need to find a number such that 25% of it is equal to 11. This can be represented by the equatio… |
None | A solid of revolution is formed by revolving the … | First, we need to understand that the volume of a solid of revolution can be calculated using the f… |
None | (e) $18 \%$ of what is 9 ? | We need to find a number such that 18% of it is equal to 9. This can be represented by the equation… |
None | (d) $1 \%$ of what is $\$ 8 ?$ | The question is asking for a number such that 1% of that number is equal to 8. This can be represen… |
None | (c) $10 \%$ of what is $\$ 15$ ? | We need to find a number such that 10% of it is equal to $15. This can be represented as an equatio… |
None | Let $R$ be the region bounded by the graphs of $y… | Let $R$ be the region bounded by the graphs of $y=x$, $y=-x+6$, and the $x$-axis. We are asked to f… |
None | (b) $9 \%$ of what is $13.5 ?$ | Translate the problem into an equation: \(0.09 * x = 13.5\) |
None | Consider the curve $f(x)=10 x^{7}$ over the inter… | We are given the function \(f(x) = 10x^7\) and we are asked to find the surface area generated by r… |
None | Given the equation $\sqrt{x^{2}+2 x y+y^{6}}=8$, … | Given the equation \(\sqrt{x^{2}+2 x y+y^{6}}=8\), we are asked to evaluate \(\frac{d y}{d x}\). We… |
None | 26. Harry received a raise of 27 cents per hour. … | Let's denote Harry's previous salary as x. Since Harry received a raise of 27 cents per hour, which… |
None | Consider the region bounded to the right by the g… | Given the region bounded to the right by the graph of \(x=\frac{\sin (6 y)+10}{y}\), to the left by… |
None | Find the volume of a solid of revolution formed b… | We are given the function \(f(x) = 3x + 2\) and we are asked to find the volume of the solid formed… |
None | (b) $9 \%$ of what is 13.5 ? (c) $10 \%$ of what … | Translate the problem into a mathematical equation: 0.09 * X = 13.5 |
None | Use the disk method to find the volume of the sol… | We are given the function \(f(x) = 4 \sqrt{9 \cos x}\) and we are asked to find the volume of the s… |
None | What is the volume of the solid of revolution obt… | The volume of a solid of revolution can be found using the formula for the volume of a cylindrical … |
None | (a) $15 \%$ of what is 30 ? | Translate the problem into an equation: \(0.15 * x = 30\) |
None | Question Define $R$ as the region bounded by the … | Define $R$ as the region bounded by the graphs of $g(y)=3 y^{2}+1, y=-1, y=1$, and the $y$-axis. |
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