| Topic | Problem | Solution |
|---|---|---|
| None | Suppose that $x+y=2$ and $2 x+y=6$. What is $x$ ?… | We have a system of two linear equations: \(x + y = 2\) and \(2x + y = 6\). |
| None | Find the value of $z_{\alpha}$. \[ \alpha=0.12 \]… | Given that \(\alpha=0.12\), we are asked to find the z-score that corresponds to the 12th percentil… |
| None | Factor $f(x)=3 x^{3}+7 x^{2}-155 x+225$ into line… | Given the polynomial function \(f(x)=3 x^{3}+7 x^{2}-155 x+225\) and -9 is a zero of \(f(x)\), it m… |
| None | The number of times a new pop song has been downl… | The rate of change of the number of downloads is given by the derivative of the function \(f(t)\). … |
| None | Solve exactly for $x$ for $720^{\circ} \leq x \le… | The given equation is in terms of trigonometric functions. We can simplify the equation by using th… |
| None | Use trigonometric identities to solve the trigono… | Given the trigonometric equation \(\sin (2 \theta)+\cos \theta=0\). |
| None | Use implicit differentiation to find $d y / d x$.… | Use implicit differentiation to find \(\frac{d y}{d x}\). |
| None | Use the Chain Rule to differentiate the following… | Given the function \(f(x)=\sqrt{x^{2}+\sqrt{2-5 x^{3}}}\) |
| None | Find all solutions to the equation $11 \cos x=\fr… | Given the equation \(11 \cos x=\frac{1}{\cos x}\). This can be rewritten as \(11 \cos^2 x = 1\). |
| None | Find all solutions to the equation $10 \cos (x+2)… | We have that \(10 \cos (x+2)=2\). |
| None | Form a polynomial whose real zeros and degree are… | The zeros of a polynomial are the values of x for which the polynomial equals zero. If we know the … |
| None | Use the table to find the area under the standard… | The area under the standard normal curve from 0 to \(z=-1.51\) is given by the cumulative distribut… |
| None | A rectangular garden of area 300 square feet is t… | Let the length of the side that will be surrounded by a fence be denoted as \(x\), and the length o… |
| None | Solve the following inequality. \[ \sqrt[3]{-x^{2… | First, cube both sides of the inequality to remove the cube root. This gives us \(-x^{2}-1 > -343\). |
| None | A simple random sample of size $n$ is drawn from … | We are given a simple random sample of size $n = 28$ drawn from a normally distributed population. … |
| None | 23 Salvador Ruiz $\quad$ 07/31/23 7:25 PM (?) 9.2… | A simple random sample of size \(n\) is drawn from a population that is normally distributed. The s… |
| None | For the demand function $q=D(p)=\sqrt{471-p}$, fi… | The elasticity of demand is a measure of how much the quantity demanded of a good responds to a cha… |
| None | Determine the point estimate of the population me… | Given the lower bound of the confidence interval is 19 and the upper bound is 31. |
| None | a) Approximate the area under graph (a) of $f(x)=… | First, we need to understand that the area under the curve of a function can be approximated by the… |
| None | Rewrite $\sec \left(\sin ^{-1} 4 w\right)$ as an … | Rewrite \(\sec \left(\sin ^{-1} 4 w\right)\) as an algebraic expression in \(w\). |
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