| Topic | Problem | Solution |
|---|---|---|
| None | A função $f(x)=2 x^{3}+x^{2}+2 x$, no intervalo $… | 함수 \(f(x)=2 x^{3}+x^{2}+2 x\)는 구간 \([0,2]\)에서 다음과 같은 값을 갖습니다. |
| None | A line passes through the point $(1,-8)$ and has … | The slope-intercept form of a line is given by \(y = mx + c\), where \(m\) is the slope and \(c\) i… |
| None | Use the binomial series, \[ (1+x)^{r}=\sum_{n=0}^… | We are asked to find the 4th order Maclaurin polynomial for the function \((\frac{2}{3})^{-\frac{1}… |
| None | Question 9 (4 points) \( \quad \) srved From the … | Apply the alternating series test to \( \sum_{n=1}^\infty \frac{(-1)^n}{\sqrt{n+3}} \). |
| None | Evaluate the algebraic expression for the given v… | The question is asking to substitute the value of x in the given algebraic expression and then simp… |
| None | (2) 4. Peter is decorating his family room. One w… | Let the wall length be \(l = 18\) ft and the wall height be \(h = 10\) ft. |
| None | Write an expression for the inverse of \[ f(x)=\f… | Given function: \(f(x) = \frac{2}{3}x - 5\) |
| None | The equations of three lines are given below. Lin… | Given the equations of three lines: Line 1: \(y=-2x+3\), Line 2: \(y=-2x-4\), and Line 3: \(3x-6y=6… |
| None | For the function $f(x, y)=3 e^{-4 x} \sin (y)$, f… | The level curve of a function $f(x, y)$ is defined by the equation $f(x, y) = c$ for some constant … |
| None | Find the values of \( x \) and \( y \) in paralle… | PT = TS \Rightarrow y = 3x + 12 |
| None | 4. A mass $m$ block slides down an inclined surfa… | Since the block is moving at a constant speed, the net force acting on it must be zero. We can anal… |
| None | Use the percent formula, $A=P B: A$ is $P$ percen… | Translate the problem into a mathematical equation using the percent formula. In this case, we have… |
| None | Solve the linear oquation. \[ 7 x+6=4 x+39 \] Bel… | Subtract 4x from both sides of the equation to get \(3x + 6 = 39\). |
| None | Find the fifth root of \[ 32 i \] that graphs in … | Convert 32i to polar form: \(32i = 32(\cos 90^\circ + i\sin 90^\circ)\) |
| None | 3. Give a simple description of the system \[ \be… | The system of equations \(x=0\), \(y=0\), and \(z=0\) represents the origin point (0,0,0) in a thre… |
| None | In the year 1997, the age-adjusted death rate per… | We are given two data points (0, 248.2) and (1, 241.3) and we are asked to find an exponential mode… |
| None | A body moves on a coordinate line such that it ha… | At time \(t = k\), the body is at \(f(k) = k^{2}-4 k+3\). |
| None | The functions $f$ and $g$ are such that \[ \begin… | Substitute \(x=3\) into the function \(f(x)=\frac{1}{2}x+3\): \[f(3)=\frac{1}{2}(3)+3\] |
| None | QUESTION 4 The two triangles below are similar. F… | \( x_1 = \frac{x_2}{x_3} \times x_4 \) |
| None | A certain forest covers an area of $3400 \mathrm{… | The problem is asking for the area of the forest after 8 years given that it decreases by 3.75% eac… |
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