| Topic | Problem | Solution |
|---|---|---|
| None | (6 pts) 7) Find the equation of the tangent line … | Given the parametric equations for x and y as functions of t, we have \(x = \sin(2t) + \cos(t)\) an… |
| None | (c) $21 \%$ of what is $10.5 ?$ | We need to find a number such that 21% of it equals 10.5. This can be represented as an equation: \… |
| None | (a) $10 \%$ of what is 5 ? \[ \frac{5}{}=\frac{10… | We need to find a number such that 10% of it is equal to 5. This can be represented as an equation … |
| None | (b) $35 \%$ of what is 77 ? | Translate the problem into an equation: \(0.35 * x = 77\) |
| None | 22. Find the sales tax rate. cross-country skis s… | The sales tax rate can be calculated by dividing the amount of sales tax by the selling price of th… |
| None | Find an equation of the plane tangent to the foll… | The equation of a tangent plane to a surface \(z=f(x,y)\) at a point \((a,b,f(a,b))\) is given by: … |
| None | 23. Find the regular price. soccer ball amount of… | The problem provides the amount of discount which is $5.55 and the discount rate which is 30% or 0.… |
| None | 21. Find the discount rate. sweater regular price… | Given that the regular price of the sweater is $21 and the amount of discount is $3.15. |
| None | 20. Find the total cost. car selling price: $\$ 9… | Given the selling price of the car is \(\$ 9800\) and the tax rate is \(7 \%\). |
| None | Constuct graphs for the following foure vehere. $… | The question is asking to construct a graph for the function \(y=x^{2}-3 x+5\) within the range \(-… |
| None | Consider the equation $y=x^{2}+1$. a) Using the g… | Given the equation \(y=x^{2}+1\). |
| None | Determine whether the following statement is true… | Determine whether the following statement is true or false. If it is false, explain why. The probab… |
| None | Determine the probability that at least 2 people … | We are asked to find the probability that at least 2 people in a room of 15 people share the same b… |
| None | $b^{*}(10 ; 5,0.2)=\left(\begin{array}{c}10-1 \\ … | The problem is asking to calculate the binomial probability. The binomial probability formula is gi… |
| None | Determine the absolute error when using the midpo… | Define the function \(f = 8x^2 + 3\) and the variable \(x\). |
| None | According to Bayes' Theorem, the probability of e… | Given the probabilities $P(A)=\frac{2}{3}$, $P(A')=\frac{1}{3}$, $P(B|A)=\frac{1}{7}$, and $P(B|A')… |
| None | Find the derivative $\frac{d w}{d t}$, where $w=2… | First, we calculate the partial derivatives of \(w\) with respect to \(x\), \(y\), and \(z\). |
| None | Find the first partial derivatives of the followi… | The function given is \(F(u, v, w)=\frac{u}{7 v+4 w}\). |
| None | Use the Chain Rule to find $\frac{d w}{d t}$, whe… | First, we calculate the partial derivatives of \(w\) with respect to \(x\) and \(y\). |
| None | Verify that $f_{x y}=f_{y x}$ for the following f… | Given the function \(f(x, y)=e^{x+y+16}\) |
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