| Topic | Problem | Solution |
|---|---|---|
| None | Convert the given angle to decimal degrees. Round… | The given angle is in degrees, minutes, and seconds. To convert it to decimal degrees, we need to c… |
| None | $x^{2}-7 x+12=0$ | Esta é uma equação quadrática na forma de \(ax^{2}+bx+c=0\). As soluções para uma equação quadrátic… |
| None | Question 8 1 pts The following questions are abou… | We are given a problem of related rates in calculus. The radius of a sphere is increasing at a cons… |
| None | Find the measurement of each interior angle of a … | A regular octagon is a polygon with 8 equal sides and 8 equal angles. |
| None | Given \[ f_{x}\left\{\begin{array}{ll} x & x<-2 \… | Given the function: \[f_{x}\left\{\begin{array}{ll} x & x<-2 \\ x+1 & -2 \leq x<2 \\ x^{2}-2 & x \g… |
| None | II Find a least squars solution of \( A x_{i}=b \… | \(A^T A = \left[\begin{array}{cccc} 6 & 2 & 2 & 2 \\ 2 & 2 & 0 & 0 \\ 2 & 0 & 2 & 0 \\ 2 & 0 & 0 & … |
| None | 8. In right $\triangle A B C, C D$ is the altitud… | Given a right triangle ABC, with CD as the altitude to the hypotenuse AB. The lengths of AC and AD … |
| None | Ex \( \quad x^{\prime}=x(1-x)+0.5 x y \) \[ \left… | Set \(x' = 0\) and \(y' = 0\): \(x(1 - x) + 0.5xy = 0\) and \(y(2.5 - 1.5y) - 0.5xy = 0\) |
| None | 10. Write an equation of a line that passes throu… | The equation of a line in the slope-intercept form is given by \(y = mx + c\), where \(m\) is the s… |
| None | On a recent trip to the convenience store, you pi… | Let's denote the cost of a bag of chips as x, the cost of a bottle of water as 2x (since it costs t… |
| None | 4. The distance between any two neighboring marks… | The distance between any two neighboring marks is 1 cm. The marks are integers from -10 to 10. So, … |
| None | Calcule $\int \frac{3 x-1}{(2 x+1)^{2}} d x$ Esco… | A integral é uma função racional, e parece estar na forma de uma derivada de um logaritmo. A deriva… |
| None | d $4 \mathrm{~cm}$ relation. 4 7.a) Given that $m… | Given vectors m and n as m = 2i - 5j and n = -7i + 17j respectively. |
| None | 7. Diagram NOT accurately drawn \[ \begin{array}{… | We are given that the lengths of sides AB and BC of triangle ABC are 3.2 cm and 8.4 cm respectively… |
| None | PAPER 2 - ANSWER ALL OUESTIONS IN THIS SECTION 1.… | Given the equation \(\frac{d}{t-p}=\frac{t}{d+p}\), we are asked to make 'p' the subject of the rel… |
| None | \[ \begin{array}{l} \frac{d x}{d t}=\beta x\left(… | \(0 = \beta x\left(1-\frac{x}{k}\right)-c_{1} xy \) |
| None | Solve \[ 162 x^{2}-252 x+98=0 \] | Given the quadratic equation \(162 x^{2}-252 x+98=0\) |
| None | How many roots exist in the following polynomial,… | The given polynomial is \(3x^{4}-7x^{2}+8\). |
| None | Write an equation in vertex form of the parabola … | The vertex form of a parabola is given by \(f(x) = a(x-h)^2 + k\), where \((h, k)\) is the vertex o… |
| None | 8 A tent pole measuring 2.1 metres high is secure… | Given the height of the tent pole is 2.1 metres and the angles from the horizontal to pegs A and B … |
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