| Topic | Problem | Solution |
|---|---|---|
| None | Find the open intervals where $f(z)=z^{3}+6 z^{2}… | Find the first derivative: \(f'(z) = 3z^2 + 12z + 1\) |
| None | Find the equation of the tangent line to the func… | Find the derivative of the function: \(f'(x) = -18x + 3\) |
| None | The length of a box of colored pencils is 6 inche… | Find the volume by multiplying length, width, and height: \( V = 6 \times 4 \times \frac{3}{8} \) |
| None | 27) An airplane is flying at a height of 2 miles … | Given: opposite = 2, adjacent = 5 |
| None | August U Johnson Chapter 11 Test Numbers from Set… | Calculate the probability for each event using combinations. |
| None | $z<-2$ OR $z \geq 3$ | Solve the inequality separately: $z < -2$ and $z geq 3$ |
| None | $\log _{7} 9+\log _{7} 4$ | Use the logarithm property: \(\log_{a} b + \log_{a} c = \log_{a} (b \cdot c)\) |
| None | Write each polynomial in ascending powers of $\ma… | 1. Combine like terms: \(1.26 - 3x + 5x^3 + 1 + x^2 = 2.26 - 3x + x^2 + 5x^3\) |
| None | What is $4+5$ ? | Calculate the sum of \(4+5\) |
| None | Find the surface area of a cylinder with a height… | \mathrm{Surface\ Area} = 2\pi r^2 + 2\pi rh |
| None | A boat is heading towards a lighthouse, whose bea… | \( \tan{15^{\circ}} = \frac{113}{x} \) |
| None | ra Calculator - MathPapa \( \times \mid+ \) Is-of… | \( \frac{1}{8} (8x - 4y) = \frac{1}{8} (16) \) |
| None | Question 4: If \( \mathrm{f}^{\prime \prime}(\mat… | \int 8\sin(4x) dx = 8 \int \sin(4x) dx |
| None | \( \int x^{3} e^{x^{2}} d x \) | \( u = x^{2} \) |
| None | Express in simplest radical form. \[ \sqrt{50} \] | \[\sqrt{50} = \sqrt{2\times 25}\] |
| None | \( 4 \times 6= \) | \( 4 \times 6=24 \) |
| None | Fill in the blank to make equivalent rational exp… | \frac{6y}{y-1} = \frac{6y(y-5)}{(y-1)(y-5)} |
| None | 2 What is the product of \( \frac{r^{2}-16}{r^{2}… | Factorize numerators and denominators: \( \frac{(r+4)(r-4)}{(r+1)(r+3)} \) and \( \frac{3(r+3)}{(r+… |
| None | Write a quadratic function \( f \) whose aares ar… | f(x) = a(x - r_1)(x - r_2) |
| None | A spinner has 10 equally sized sections, 7 of whi… | \( P(G) = \frac{7}{10} \) |
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