| Topic | Problem | Solution |
|---|---|---|
| None | Assume $\lim _{x \rightarrow 1} f(x)=12$ and $\li… | Assume \(\lim _{x \rightarrow 1} f(x)=12\) and \(\lim _{x \rightarrow 1} g(x)=3\). We are asked to … |
| None | On Alexis's credit card statement from last month… | Alexis's outstanding balance from last month was $539. During the current billing cycle, she made a… |
| None | If $f(x)=x^{2}$. Find (a) $f(x+h)$ (b) $f(x+h)-f(… | Substitute \(x+h\) into the function \(f(x)=x^2\): |
| None | The product of two numbers is 16/3. If one of the… | We are given that the product of two numbers is \(\frac{16}{3}\) and one of the numbers is \(\frac{… |
| None | 2 if $f(x)=x^{3}$ Find (a) $f(x+h)$ | Replace x with (x+h) in the given function f(x) = x^3: f(x+h) = (x+h)^3 |
| None | $f(x)=(x+4)^{3}$ What is the equation of this fun… | The reflection of a function over the x-axis is achieved by changing the sign of the function. In t… |
| None | What are the characteristics of the function $f(x… | The function \(f(x)=-(x+4)^{5}\) is a polynomial function of degree 5. |
| None | If $f(x)=x^{2}$. Find (a) $f(x+h)$ | Replace x with (x+h) in the given function f(x)=x^2: f(x+h) = (x+h)^2 |
| None | $\begin{array}{l}f x=\sqrt[3]{1 x-3} \\ f^{-1}(x)… | Given the function \(f(x) = \sqrt[3]{1x - 3}\), we want to find the inverse function \(f^{-1}(x)\). |
| None | 2. Express each complex number in the form $\oper… | Express each complex number in the form \(\operatorname{cis} \theta\) where \(-\pi<\theta \leq \pi\… |
| None | Sammy bought a new car. The depreciation equation… | Sammy bought a new car. The depreciation equation is given by \(f(x)=30,000(.85)^{x}\), where \(x\)… |
| None | The projected value of an investment is modeled b… | The projected value of an investment is modeled by the exponential function $V(t)=30,000(1.125)^{t}… |
| None | Aubree invested $\$ 500$ into a mutual fund that … | The problem is asking for the future value of an investment given the principal amount, the interes… |
| None | 6. \[ \begin{array}{l} a_{1}=1 \\ a_{2}=1+2 \\ a_… | First, let's find the value of \(\pi\). We know that \(2^\pi > 8102\). |
| None | Which rule should be applied to reflect $f(x)=x^{… | The problem is asking for the rule to reflect the function $f(x)=x^{3}$ over the $x$ axis. |
| None | $y-7=\sqrt{3}(x+3)$ | Given the equation: \(y-7=\sqrt{3}(x+3)\) |
| None | Which of the two functions below has the smallest… | Find the derivative of the functions $f(x)$ and $g(x)$ to determine where they reach their minimum … |
| None | Evaluate: $\int\left(x^{2}-x\right) \cos x d x$ | Given the integral problem \(\int\left(x^{2}-x\right) \cos x d x\), we can solve this using the met… |
| None | $(\sqrt[3]{x+6}-2)\left(\sqrt[3]{(x+6)^{2}}-2 \sq… | Given expression: $(\sqrt[3]{x+6}-2)\left(\sqrt[3]{(x+6)^{2}}-2 \sqrt[3]{x+6}+4\right)$ |
| None | \( 75 \% \) is the same as \( \frac{75}{100}=\fra… | Convert the percentage to a fraction: \(\frac{75}{100}\) |
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