| Topic | Problem | Solution |
|---|---|---|
| None | Write the equation in exponential form. \[ \log _… | Write the equation in exponential form: \(\log _{16} 2=\frac{1}{4}\) |
| None | Decide what values of the variable cannot possibl… | Decide what values of the variable cannot possibly be solutions for the equation \(\frac{1}{x-4}+\f… |
| None | The amount of carbon-14 present in animal bones a… | Setting \(P(t)\) to \(0.77P_0\) (since the bone has lost 23% of its carbon-14, it retains 77% or 0.… |
| None | [2] c) $f^{-1}(x)=\frac{1}{4} x-10$ | Switch the roles of x and y in the function: \(x = \frac{1}{4} y - 10\) |
| None | The amount of carbon-14 present in animal bones a… | The problem is asking for the age of the bone, given that it has lost 23% of its carbon-14. This me… |
| None | A formula connecting speed $(s)$, distance (d) an… | Given the distance $d=190$ metres to 2 significant figures and time $t=8.1$ seconds to 2 significan… |
| None | The end of a pier was destroyed during a storm. … | The pier was 800m long before the storm, rounded to 2 significant figures. This means the actual le… |
| None | Determine the point(s) on the curve $y=\frac{x^{2… | Find the derivative of the function $y = \frac{x^2}{\ln x}$: $\frac{dy}{dx} = \frac{2x}{\ln x} - \f… |
| None | Evaluate the expression $21-\{8-5[6$ $4(8-7)-9(4-… | First, we need to follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/O… |
| None | EXERCISE 10E 1 a Sketch the following functions f… | First, we need to sketch the function \(y = \tan(x - \frac{\pi}{2})\) for \(0 \leq x \leq 3\pi\). |
| None | $7 \tan x \cos x=5$ | Rewrite the equation in terms of sine and cosine: \(7 \frac{\sin x}{\cos x} \cos x = 5\) |
| None | $y=\lim _{x \rightarrow 2} \frac{x^{2}-5 x+6}{x^{… | A questão está pedindo o limite de uma função quando x se aproxima de 2. O primeiro passo é substit… |
| None | Solve: $\frac{x^{2}-x-6}{x^{2}}=\frac{x-6}{2 x}+\… | First, we need to eliminate the fractions in the equation. To do this, we multiply each term by the… |
| None | Started: Jul 10 at 7:13pm 10 Quiz Instructions Sh… | The given problem is to perform synthetic division on the polynomial \(4x^{5} + 23x^{4} + 14x^{3} +… |
| None | $y=\lim _{x \rightarrow 0} \frac{x^{4}+8 x^{3}+24… | A função dada é uma função racional e somos solicitados a encontrar o limite à medida que x se apro… |
| None | 3 If $f(x)=(2 x+3)(3 x-1)^{5}$, evaluate $f^{\pri… | Given the function \(f(x) = (2x + 3)(3x - 1)^5\), we need to find the derivative \(f'(x)\) and eval… |
| None | $a^{5} b-a^{3} b^{3}+a^{4} b^{2}-a^{2} b^{4}$ | Temos a expressão polinomial $a^{5} b-a^{3} b^{3}+a^{4} b^{2}-a^{2} b^{4}$. |
| None | c) $9 x^{2}-40=24$ | Move all terms to one side of the equation: \(9x^2 - 64 = 0\) |
| None | Obrigatória Nota: 1 Dada a funçāo de $\mathbb{R} … | Determine the value of the function f(x) when x = -4. Since -4 is greater than or equal to -5, we w… |
| None | A large pizza at Paul's Pizza Shop costs $\$ 6.80… | Let P(x) be the cost of a pizza at Paul's Pizza Shop with x toppings, and S(x) be the cost of a piz… |
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