| Topic | Problem | Solution |
|---|---|---|
| None | a) \( \int \frac{\operatorname{arctg} x}{1+x^{2}}… | Let \( y = \operatorname{arctg} x \) |
| None | \( \begin{array}{l}x+y=z \\ x=2 \\ y=3 \\ z=?\end… | \( x=2 \) |
| None | \( \frac{3}{4}-\frac{2}{4} \) | \( \frac{3}{4} - \frac{2}{4} \) |
| None | Ai Mi is 1.45 meters tall. At 11 a.m., she measur… | \( \frac{h}{27.65} = \frac{1.45}{22.8} \) |
| None | It is the product of a force applied to a body ti… | |
| None | Find the center and radius of the circle represen… | Complete the square for both x and y terms: \((x^2 - 18x) + (y^2 + 10y) = -25\) |
| None | A certain human red blood cell has a diameter of … | |
| None | \( \frac{10 x^{5} z^{2}}{2 x^{2} y^{-4} z^{-3}} \) | \( \frac{10x^{5}z^{2}}{2x^{2}y^{-4}z^{-3}} \cdot \frac{y^{4}z^{3}}{y^{4}z^{3}} \) |
| None | \( \frac{5}{3 x-9}+\frac{3}{x-3} \) | \( \frac{5}{3 (x-3)}+\frac{3}{x-3} \) |
| None | \( x^{3} \cdot x^{\stackrel{2}{?}}=\frac{1}{x^{12… | \( x^3 \cdot x^y = x^{3+y} \) |
| None | Estimate the amount of the tip by rounding the bi… | \( \text{Round } 29.77 \text{ to nearest dollar: } 30 \) |
| None | \( f^{\prime}(2), f^{\prime}(x) \) ج \( f(x)=\lef… | \(f'(x) = \frac{3}{2}(x^3 + 3x^2 - 3)^{\frac{1}{2}} \times (3x^2 + 6x)\) |
| None | \( x^{2}+x-20=0 \) | \( (x-4)(x+5)=0 \) |
| None | \( \int_{0}^{3} x^{2}-3 x-9 \) | \( \int x^{2}-3 x-9\,\mathrm{d}x = \int x^2\,\mathrm{d}x - \int 3x\,\mathrm{d}x - \int 9\,\mathrm{d… |
| None | \( 3 x^{2}-5 x+2=0 \) è | \( \text{Quadratic formula: } x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \) |
| None | \( 9 \times 8+108= \) | \(9 \times 8 = 72\) |
| None | Does \( (-40,45) \) make the equation \( y=-x \) … | Substitute \((x, y) = (-40, 45)\) into \(y = -x\). |
| None | 5. If \( D \) is the midpoint of \( \overline{C E… | \( CD = DE \) |
| None | \( \begin{array}{l}2834 \times 20+ \\ 10000\end{a… | \( 2834 \times 20 = 56680 \) |
| None | \( \begin{array}{l}2500 \times 20+ \\ 10000\end{a… | \( 2500 \times 20 = 50000 \) |
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