| Topic | Problem | Solution |
|---|---|---|
| None | Does \( (0,-891) \) make the equation \( y=x--891… | Substitute x and y values: \( -891 = 0 - (-891) \) |
| None | Factor the trinomial $9 x^{2}-36 x+36$ \[ 9 x^{2}… | Given the trinomial $9 x^{2}-36 x+36$ |
| None | Solve and check the equation. 4) $3(2 x-4)-5=3(x-… | Distribute the numbers outside the parentheses to the numbers inside the parentheses in the equatio… |
| None | Simplify the given fraction by cancelling common … | The given fraction is \(\frac{56 x^{5} y^{4}}{7 x^{-2} y^{9}}\). |
| None | 9. (12 pts) Set up the surface integral $\iint_{S… | The surface integral is given by \(\iint_{S}(z-x) d S\), where \(S\) is the portion of the surface … |
| None | Simplify the algebraic expression. 3) $(8 y+12)-(… | Distribute the negative sign to the terms inside the parentheses: $(8y + 12) - (2y - 9) = 8y + 12 -… |
| None | Use properties of exponents to simplify the expre… | Simplify the numerical part of the fraction, i.e., 56/7, which equals 8. |
| None | 2 Perform the indicated operation. siniply the an… | Simplify the square roots. The square root of 96 can be simplified to \(4\sqrt{6}\) and the square … |
| None | Question 3(Multiple Choice Worth 2 points) (06.01… | Let's denote the number of cases sold as x and the number of t-shirts sold as y. |
| None | What is the molecular weight of ibuprofen, $\math… | To find the molecular weight of a compound, we need to add up the atomic weights of all the atoms i… |
| None | 8. (12 pts) Let $\boldsymbol{F}$ be a vector fiel… | Given the vector field F = <2*x*y/z, z+x^2/z, y-x^2*y/z^2>, we need to determine whether the vector… |
| None | Let the function f be given by the equation f(x)=… | Let the function \(f\) be given by the equation \(f(x)=7x-6\). We are asked to evaluate \(f^{-1}(1)… |
| None | 7. (15 points) Use Green's theorem to evaluate th… | First, we need to identify the vector field \(\mathbf{F} = (x^2 - y^2, xy)\). |
| None | The reactants in a chemical reaction are analogou… | The reactants in a chemical reaction are analogous to which of the following? Hint, this is an anal… |
| None | 6. (15 pts) Find the work done by a force field $… | The work done by a force field \(\vec{F}\) to move an object along a curve \(C\) is given by the li… |
| None | 5. (20 pts) Find an equation of the tangent plane… | The given parametric surface is \(\vec{r}(u, v)=3 u \vec{i}+(6-u^{2}-v^{2}) \vec{j}+2 v \vec{k}\). … |
| None | 4. (12 pts) Using spherical coordinates, rewrite … | Given the triple integral \(\iiint_{E} z d V\), where E is the solid that lies below the sphere \(x… |
| None | $\begin{array}{l}V(r)=\frac{4}{3} \pi r^{3} \\ V(… | The problem is asking for the difference in volume of two spheres, one with radius r+1 and the othe… |
| None | A student was asked to determine the $y$-intercep… | The y-intercept of a function is the point where the graph of the function intersects the y-axis. T… |
| None | 2. Convert to cartesian coordinates and identify … | Given the equation in spherical coordinates $2 r^{2}+ ho^{2}=4$, we can convert it to cartesian coo… |
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