Evaluate using Integration by Parts as a first step.

$$\int \frac { \sin ^ { - 1 } x } { x ^ { 2 } } d x$$

Determine whether the statement is true or false. An LU decomposition of every matrix is unique.

Define and explain: conscription, habeas corpus

Set up and solve a system of equation to answer question. The difference between two complimentary angles is $34 ^ { \circ }$. What are the angles? (Complimentary angles are angles whose sum = $90 ^ { \circ }$.)

Use the table of values to determine if each function is linear or nonlinear.

$$\begin{matrix} \text{x} & \text{-4} & \text{-3} & \text{-2} & \text{1} & \text{2}\\ \text{y} & \text{8} & \text{3} & \text{0} & \text{3} & \text{8}\\ \end{matrix}$$

A Pitot-static tube is used to measure the velocity of helium in a pipe. The temperature and pressure are 40$^{\circ} \mathrm{F}$ and 25 psia. A water manometer connected to the Pitot-static tube indicates a reading of 2.3 in. Determine the helium velocity. Is it reasonable to consider the flow as incompressible? Explain.

Perform the operation.

$$\frac { - 2.2 } { - 11 }$$

How do you think politics in the United States would have been different if the Pendleton Civil Service Act had not been passed?

Check $\dfrac{n}{1-\dfrac{2}{n-3}}=\dfrac{n(n-3)}{n-5}$ by substituting

$$10$$

for

$$n$$

Can the graph of a polynomial function be a straight line? If so, give an example.

Solve each rational inequality. $\frac { 2 x - 1 } { 3 } \geq \frac { x + 1 } { 4 } + \frac { x } { 12 }$

Samy has 10-foot wooden ladder which he needs to climb to reach the roof of his house. The roof is 12 feet above the ground. The base of the ladder must be at least 1.5 feet from the base of the house. How far is it from the top step of the ladder to the edge of the roof? Draw a sketch.

Describe the properties chlorofluorocarbons possess that made them seem like miracle chemicals when they were discovered.

Review the derivation of the formula

$$\frac { d } { d x } [ \ln x ] = \frac { 1 } { x }$$

and then write a paragraph that discusses all the ingredients (theorems, limit properties, etc.) that are needed for this derivation.