Briefly explain the importance of each of the following. Baltic Republics

Using the periodic table, what is the oxidation number of: a. calcium b. aluminum c. fluoride

As the temperature of a sample of a radioactive element decreases, the half-life of the element: (1) decreases, (2) increases, (3) remains the same, (4) varies with the pressure.

Find the first four terms of the Taylor series of the function at the given value of c.

$$f(x)=\frac{1}{2-x} \text { at } c=5$$

These reactions are important in catalytic converters in automobiles. Calculate $\Delta G^{\circ}$ for each at 298 K. Predict the effect of increasing temperature on the magnitude of $\Delta G^{\circ}$. a. $2 \mathrm{CO}(g)+2 \mathrm{NO}(g) \longrightarrow \mathrm{N}_{2}(g)+2 \mathrm{CO}_{2}(g)$, b. $5 \mathrm{H}_{2}(g)+2 \mathrm{NO}(g) \longrightarrow 2 \mathrm{NH}_{3}(g)+2 \mathrm{H}_{2} \mathrm{O}(g)$, c. $2 \mathrm{H}_{2}(g)+2 \mathrm{NO}(g) \longrightarrow \mathrm{N}_{2}(g)+2 \mathrm{H}_{2} \mathrm{O}(g)$, d. $2 \mathrm{NH}_{3}(g)+2 \mathrm{O}_{2}(g) \longrightarrow \mathrm{N}_{2} \mathrm{O}(g)+3 \mathrm{H}_{2} \mathrm{O}(g)$

Give an example of three financial intermediaries, and explain how they act as a bridge between small investors and large capital markets or corporations.

Jim Reed manages a fleet of utility trucks for a rural county government. He’s been in his job 30 years, and he knows where the angles are. He makes sure that when new trucks are purchased, the salvage value is set as low as possible. Then, when they become fully depreciated, they are sold off by the county at salvage value. Jim makes sure his buddies in the construction business are first in line for the bargain sales, and they make sure he gets a little something back. Recently, a new county commissioner was elected with vows to cut expenses for the taxpayers. Unlike other commissioners, this man has a business degree, and he is coming to visit Jim tomorrow. When a business sells a fully depreciated asset for its salvage value, is a gain or loss recognized?

(a) Why has Kenya been unstable since the 1980s? (b) How is the future stability of Kenya linked to harambee?

In each part, find a system of linear equations corresponding to the given augmented matrix. (a)

$$\left[\begin{array}{rr}{2} & {-1} \\ {-4} & {-6} \\ {1} & {-1} \\ {3} & {0}\end{array}\right]$$

. (b)

$$\left[\begin{array}{rrrrr}{0} & {3} & {-1} & {-1} & {-1} \\ {5} & {2} & {0} & {-3} & {-6}\end{array}\right]$$

. (c)

$$\left[\begin{array}{rrrr}{1} & {2} & {3} & {4} \\ {-4} & {-3} & {-2} & {-1} \\ {5} & {-6} & {1} & {1} \\ {-8} & {0} & {0} & {3}\end{array}\right]$$

. (d)

$$\left[\begin{array}{rrrrr}{3} & {0} & {1} & {-4} & {3} \\ {-4} & {0} & {4} & {1} & {-3} \\ {-1} & {3} & {0} & {-2} & {-9} \\ {0} & {0} & {0} & {-1} & {-2}\end{array}\right]$$

.

Using Your Calculator: Approximating Zeros of Polynomials. What is a zero of a polynomial?

Before quantum mechanics was developed, Johannes Rydberg developed an equation that predicted the wavelengths ($\lambda$) in the atomic spectrum of hydrogen: $1 / \lambda=R\left(1 / m^{2}-1 / n^{2}\right)$ In this equation R is a constant and m and n are integers. Use the quantum-mechanical model for the hydrogen atom to derive the Rydberg equation.

Solve each equation. 4.035=a-3.25

Sketch the titration curve for the titration of a generic weak base B with a strong acid. The titration reaction is

$$\mathrm { B } + \mathrm { H } ^ { + } \rightleftharpoons \mathrm { BH } ^ { + }$$

On the curve indicate the points that correspond to the following. pH depends only on [B]

How does the demographic transition theory reflect the development of Western nations?