Combine any like terms. $3 x^{2}+x y-6 x y-2 y^{2}$

Use letters to represent each simple statement in the compound statement that follows. Then express the compound statement in symbolic form. Shooting unarmed civilians is morally justifiable if and only if bombing them is morally justifiable, and as the former is not morally justifiable, neither is the latter.

Carry out the following steps for the given functions f and points a. Find the linear approximation L to the function f at the point a.

$$f ( x ) = e ^ { - x }$$

, a=ln 2

Graph each equation.

$$x+3=y$$

An environmental study suggests that $t$ years from now, the average level of carbon monoxide in the air will be

$$Q(t)=0.05 t^{2} + 0.1 t+3.4$$

parts per million (ppm). By approximately how much will the carbon monoxide level change during the next 6 months?

$$2 \frac { 2 } { 3 } \div 1 \frac { 1 } { 2 }$$

Determine whether the sequence is increasing, decreasing or neither. $a_{n}=\frac{n-1}{n+1}$

Express the limit as an integral (or multiple of an integral) and evaluate.

$$\lim _ { N \rightarrow \infty } \frac { 5 } { N } \sum _ { j = 1 } ^ { N } \sqrt { 4 + 5 j / N }$$

Sketch and identify the surface. $9 x^{2}+y^{2}+z=9$

Find the indicated limits. $\lim _{t \rightarrow 1} \frac{\ln (\ln t)}{\ln t}$

Uranium-238 $(U^{238} )$ has three more neutrons than uranium-235 $(U^{235} )$ . Compared to the speed of sound in a bar of $U^{235}$ , is the speed of sound in a bar of $U^{238}$ higher, lower, or the same? Explain your choice, including justification for assumptions you make.

Solve. Identify all double roots.

$$x ^ { 2 } \left( x ^ { 4 } + 16 \right) = 8 x ^ { 4 }$$

You found that a function formula for an arithmetic sequence with initial term $t_{0}$ and common difference is

$$t_{n }=t_{0}+d n$$

. Using the form $t_{n}=\ldots,"$ write a similar function formula if the initial term is $t_{1}$, instead of $t_{0}$.

There is a famous photo taken of the famous participants in the Fifth Solvay Congress. Identify at least 10 participants and discuss what their contributions were to quantum physics.