| Topic | Problem | Solution |
|---|---|---|
| None | If $\cot (x)=\frac{5}{11}$ (in Quadrant-I), find … | We are given that \(\cot (x)=\frac{5}{11}\) and we are asked to find \(\cos (2 x)\). |
| None | Write the equation in exponential form. Assume th… | Write the equation in exponential form. Assume that all constants are positive and not equal to 1 . |
| None | Find $\cos (2 A)$, if $\cos (A)=-\frac{21}{29}$, … | Given that \(\cos(A) = -\frac{21}{29}\) and \(A\) is in quadrant 3 |
| None | Find $\tan (2 A)$, if $\tan (A)=-\frac{11}{60}$, … | We are given that \(\tan A = -\frac{11}{60}\) and we need to find \(\tan (2 A)\). |
| None | If $\cot (x)=\frac{5}{11}$ (in Quadrant-I), find … | We are given that \(\cot(x) = \frac{5}{11}\) in Quadrant-I. |
| None | 2. Solve the triangle, given the information belo… | We are given two sides and an included angle. We can use the Law of Sines to find angle C, and then… |
| None | A vehicle purchased for $\$ 29,800$ depreciates a… | The problem provides that a vehicle was purchased for $29,800 and depreciates at a constant rate of… |
| None | If the rate of inflation is $3.9 \%$ per year, th… | The rate of inflation is given as $3.9 \%$ per year. This can be written as a decimal as 0.039. |
| None | Suppose that the functions $r$ and $s$ are define… | Let the functions $r$ and $s$ be defined as $r(x)=x^{3}$ and $s(x)=3 x^{2}$ for all real numbers $x… |
| None | A party rental company has chairs and tables for … | Represent the problem with the following equations: \(4c + 8t = 89\) and \(2c + 3t = 34\), where c … |
| None | Calculate $\frac{d y}{d x}$. You need not expand … | Given the function \(y=\frac{7 x^{2}-9 x+13}{2 x+4}\), we are asked to find the derivative of this … |
| None | Calculate $\frac{d y}{d x}$. You need not expand … | Given the function \(y=(3x^2+x)(x-x^2)\). |
| None | Suppose you have 3 jars with the following conten… | First, we need to calculate the probability of drawing a white ball from each jar. For Jar 1, there… |
| None | evaluate \[ \frac{3 ! 5 !}{6 ! 4 !} \] simplify y… | Given the expression \(\frac{3 ! 5 !}{6 ! 4 !}\) |
| None | Find the derivative of the function. \[ \begin{ar… | The derivative of a function can be found using the rules of differentiation. In this case, we have… |
| None | A clinical trial was conducted to test the effect… | We are given that the sample mean wake time after treatment, denoted as \(\bar{x}\), is 74.6 minute… |
| None | Find the derivative of the function. \[ f(x)=e^{2… | The function given is \(f(x)=e^{2-x}\). |
| None | $\begin{array}{r}3 \frac{7}{8} \\ -\frac{3}{8} \\… | Convert the mixed number 3 7/8 to an improper fraction. The denominator remains 8, and the numerato… |
| None | A man deposits $\$ 18,000$ at the beginning of ea… | For the first 10 years, the man deposits $18,000$ at the beginning of each year in an account payin… |
| None | a) Draw an example of a relation that is a functi… | Draw an example of a relation that is a function. A relation is a function if for every input, ther… |
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