| Topic | Problem | Solution |
|---|---|---|
| None | Find $f_{x}$ and $f_{y}$ \[ f(x, y)=-6 e^{5 x-4 y… | The function given is \(f(x, y)=-6 e^{5 x-4 y}\). We are asked to find the partial derivatives of t… |
| None | A chemical company makes two brands of antifreeze… | A chemical company makes two brands of antifreeze. The first brand is 55% pure antifreeze, and the … |
| None | A store is having a sale on jelly beans and almon… | Let's denote the cost for each pound of jelly beans as J and the cost for each pound of almonds as … |
| None | b) Solve $3 \cos 2 \theta+\cos \theta=-1 \quad\le… | Given the trigonometric equation \(3 \cos 2 \theta+\cos \theta=-1 \) where \(0^{\circ} \leq \theta … |
| None | long as the pollution remains in the lake \[ f(t)… | We are given the function for the amount of pollution in the lake as \(f(t)=8(1-e^{-0.5 t})\), wher… |
| None | b) Electric cable is sold in reels. The length of… | The problem is asking for the value of \(x\) such that \(11.9\%\) of the reels have more than \(x\)… |
| None | A store sells $Q$ units of a product per year. It… | We are given that the store sells \(Q = 100\) units of a product per year. It costs \(d = \$20\) to… |
| None | The price $p$ (in dollars) and the quantity $x$ s… | Given the demand equation \(x=-8p+800\). |
| None | Claim: The standard deviation of pulse rates of a… | The original claim is that the standard deviation of pulse rates of adult males is less than 11 bpm… |
| None | Use the model $A=P e^{r t}$ or $A=P\left(1+\frac{… | We are given a bond of $5500 that grows to $7335.67 in 6 years under continuous compounding. We nee… |
| None | Question 7 (1 point) Determine the number of root… | The number of roots of a quadratic function can be determined by the discriminant, which is calcula… |
| None | Find $s(t)$, where $s(t)$ represents the position… | Given the acceleration function \(a(t) = -24t + 8\), we can find the velocity function \(v(t)\) by … |
| None | Given two independent random samples with the fol… | Given two independent random samples with the following results: \[\begin{array}{ll} n_{1}=13 & n_{… |
| None | Given two independent random samples with the fol… | Given two independent random samples with the following results: \[\begin{array}{ll} n_{1}=13 & n_{… |
| None | Solve $e^{2 \mathrm{t}}=1800$ for $\mathrm{t}$. $… | The given equation is \(e^{2t} = 1800\). |
| None | Question 5 An alpha particle is emitted from a ra… | An alpha particle consists of 2 protons and 2 neutrons. When a radionuclide emits an alpha particle… |
| None | \[ B(x)=310 x^{2}-3720 x^{3}, 0 \leq x \leq 0.08 … | The function given is \(B(x) = 310x^2 - 3720x^3\) and we are asked to find the maximum value of thi… |
| None | Find the absolute maximum and minimum values of t… | The function given is \(f(x)=x+\frac{1}{x}\) and we are to find the absolute maximum and minimum va… |
| None | Find the absolute maximum and minimum values of e… | Find the derivative of the function \(f(x)=9x^4-4x^3\). |
| None | For a dosage of $x$ cubic centimeters $(\mathrm{c… | First, we need to find the derivative of the function $B(x)$, which represents the rate of change o… |
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