Conteste estas preguntas que le hace un aduanero en el aeropuerto de Barajas.

¿Cuánto dinero piensa Ud. gastar en el viaje? ($1,000)

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.) $\ln \left(\frac{x+3}{x y}\right)$

(a) Calculate how many milliliters of $0.100$ $\mathrm{M}$ $\mathrm{HCl}$ should be added to how many grams of sodium acetate dihydrate $\left(\mathrm{NaOAc} \cdot 2 \mathrm{H}_2 \mathrm{O}\right.$, FM $118.06$) to prepare $250.0 \mathrm{~mL}$ of $0.100$ $\mathrm{M}$ buffer, pH $5.00$.

(b) If you mixed what you calculated, the $\mathrm{pH}$ would not be $5.00$. Describe how you would actually prepare this buffer in the lab.

Write the logarithmic equation in exponential form. For example, the exponential form of $\log _{5} 25=2 \text { is } 5^{2}=25$. $\log _{5} \sqrt[3]{25}=\frac{2}{3}$

Express the given numbers in exponential form. \

$$5.90+2.40 j$$

Give the meanings of the following suffixes. -phobia ____________________________

Use Euler’s method with (a) n = 4 to obtain an approximation of the initial value problem when x = b.

$$y'=x^2+2y^2; y(0)=0; b=1$$

Find the solution of each exponential equation. $1296=6^{x}$

Add commas where necessary. Write C in the blank if the sentence is correct as written. _____ Those are your muddy boots on the back porch, aren't they?

How does the speaker of the poem characterize herself in the first stanza? How is her missing husband, Odysseus, characterized?

Write the exponential equation in logarithmic form.

$$5^3=125$$

Simplify the radical expression, if possible. Assume all variables are unrestricted.

$$\sqrt [ 6 ] { 64 a ^ { 6 } b ^ { 6 } }$$

What volume (in milliliters) at STP will be occupied by 0.0035 mol of methane,

$$\mathrm { CH } _ { 4 } ?$$

Consider the region bounded by the graphs of $y=x^{2 n}$ and $y=b$, where $b>0$ and $n$ is a positive integer.

Find $\lim _{n \rightarrow \infty} \bar{y}$.