| Topic | Problem | Solution |
|---|---|---|
| None | Growing linearly, the balance owed on your credit… | Substitute $x=12$ into the function $f(x)=700(1+0.096)^{x}$ to find the balance after 12 months. |
| None | Use the definition of logarithm to find the missi… | Use the definition of logarithm to find the missing value: \(\log _{b} 144=2\) |
| None | A study was conducted to measure the effectivenes… | A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements … |
| None | (a) For the function $f(x)=x^{4}+361$, factor $f$… | Rewrite the function \(f(x)=x^{4}+361\) as \(f(x)=x^{4}-(-19)^2\). |
| None | When women were finally allowed to become pilots … | The problem is asking for the probability that the mean weight of 35 randomly selected women is bet… |
| None | Find the standard form of the equation of the e… | The standard form of the equation of an ellipse with its center at the origin (0,0) is given by \(\… |
| None | Differentiate implicitly to find $\frac{d^{2} y}{… | First, we need to differentiate the given equation implicitly with respect to \(x\). The given equa… |
| None | $10+10=$ | This is a simple addition problem. We need to add 10 and 10 together. |
| None | Let $\cos A=-\frac{2}{\sqrt{13}}$ with $A$ in $Q … | Given that \(\cos A = -\frac{2}{\sqrt{13}}\) with A in Quadrant III, we are asked to find \(\cot (2… |
| None | The equation \[ \ln (x+1)-\ln (x)=2 \] has the so… | Rewrite the equation using the properties of logarithms: \(\ln\left(\frac{x+1}{x}\right) = 2\) |
| None | Solve for $x$ without using a calculating utility… | Rewrite the equation using the properties of logarithms: \(\ln \left(\frac{7}{x} * 8x^3\right) = \l… |
| None | A dorm at a college houses 1200 students. One day… | First, we need to find when the flu is spreading the fastest. This is when the rate of change of th… |
| None | Assume the random variable $X$ has a binomial dis… | We are given a binomial random variable $X$ with parameters $n=6$ and $p=0.6$. We are asked to find… |
| None | For the following demand equation, differentiate … | First, we clear the fraction in the given equation. We multiply both sides by \(x+p\) to get \(6xp … |
| None | Solve the following initial value problem. \[ \fr… | We are given the second order differential equation \(\frac{d^{2} s}{d t^{2}}=-4 \sin \left(2 t-\fr… |
| None | Pierce Manufacturing determines that the daily re… | The current daily revenue is \(\$ 3800\). |
| None | Find the area under the standard normal curve fro… | The area under the standard normal curve from 0 to a given value of $z$ is given by the cumulative … |
| None | Evaluate the integral. \[ \int \frac{e^{\sin ^{-1… | Let's start by substituting \(u = \sin^{-1}x\). This implies that \(du = \frac{dx}{\sqrt{1-x^{2}}}\… |
| None | Evaluate the integral $\int x^{3} \sqrt{x^{2}+7} … | Let's start by setting \(u = x^2 + 7\). |
| None | Find the value of the improper integral that conv… | Given the integral \(\int_{-\infty}^{\infty} x e^{-4 x^{2}} d x\) |
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