Following are two views on being a reader. What are their similarities and differences? Discuss your own experience.

The Time-Dependent Schrödinger Equation. Equation is the time-independent Schrödinger equation in one dimension. The time-dependent Schrödinger equation is $-\frac{\hbar^{2}}{2 m} \frac{\partial^{2} \Psi(x, t)}{\partial x^{2}}+U(x) \Psi(x, t)=i \hbar \frac{\partial \Psi(x, t)}{\partial t}$ If $\psi(x)$ is a solution to Eq. with energy $E$, show that the time-dependent function $\Psi(x, t)=\psi(x) e^{-i \omega t}$ is a solution to the time-dependent Schrödinger equation if $\omega$ is chosen appropriately. What is the value of $\omega$ that makes $\Psi$ a solution?

Determine whether the system of linear equations is inconsistent or dependent. If it is dependent, find the complete solution.

$$\left\{\begin{aligned} x+4 y-2 z &=-3 \\ 2 x-y+5 z &=12 \\ 8 x+5 y+11 z &=30 \end{aligned}\right.$$

Determine whether the system of linear equations is inconsistent or dependent. If it is dependent, find the complete solution.

$$\left\{\begin{aligned} 2 x-3 y-9 z & =-5 \\ x \quad \quad+3 z & =2 \\ -3 x+y-4 z & =-3\end{aligned}\right.$$

Determine whether the system of linear equations is inconsistent or dependent. If it is dependent, find the complete solution.

$$\left\{ \begin{array} { r r } { 2 x - 3 y - 9 z = } & { - 5 } \\ { x } & { + 3 z = } & { 2 } \\ { - 3 x + y - 4 z = } & { - 3 } \end{array} \right.$$

Is a graduation-day rainstorm a sublime experience? Discuss your answer, referring to the meaning of the italicized word.

Determine whether the system of linear equations is inconsistent or dependent. If it is dependent, find the complete solution.

$$\left\{\begin{aligned}-2 x+6 y-2 z & =-12 \\ x-3 y+2 z & =10 \\ -x+3 y+2 z & =6\end{aligned}\right.$$

Determine whether the system of linear equations is inconsistent or dependent. If it is dependent, find the complete solution.

$$\left\{\begin{aligned} x-2 y+5 z &=3 \\-2 x+6 y-11 z &=1 \\ 3 x-16 y+20 z &=-26 \end{aligned}\right.$$

Uranium-238 is the most prevalent isotope of uranium. Is this the isotope that will experience fission the most frequently? Explain.

Determine whether the system of linear equations is inconsistent or dependent. If it is dependent, find the complete solution.

$$\left\{\begin{aligned} x+4 y-2 z & =-3 \\ 2 x-y+5 z & =12 \\ 8 x+5 y+11 z & =30\end{aligned}\right.$$

Determine whether the system of linear equations is inconsistent or dependent. If it is dependent, find the complete solution.

$$\left\{\begin{aligned} y-5 z &=7 \\ 3 x+2 y \qquad&=12 \\ 3 x \qquad+10 z &=80 \end{aligned}\right.$$

Translate to an inequality.

To rent a car, a driver must have a minimum of 5 years driving experience.

Experience has shown that attenuated vaccines tend to be more effective than inactivated vaccines. Why?

Determine whether the system of linear equations is inconsistent or dependent. If it is dependent, find the complete solution.

$$\left\{\begin{aligned} x - y + 3 z & = 3 \\ 4 x - 8 y + 32 z & = 24 \\ 2 x - 3 y + 11 z & = 4 \end{aligned} \right.$$