Where is the energy of an electromagnetic wave stored? Describe how this energy can be used.

Only a small percentage of the electric energy fed into an incandescent lamp is transformed into light. What happens to the remaining energy?

Let $f(x)=4^{x}$. Which is different? Find "both" answers.

$$\begin{matrix} \text{As the input increases by 1, by what factor does the output increase?} & \text{ } & \text{What is the average rate of change of f between x = 1 and x = 2?}\\ \text{What is} \frac{f(2)-f(1)}{2-1}? & \text{ } & \text{What is the slope of the line that passes through (1, 4) and (2, 16)?}\\ \end{matrix}$$

If energy cannot be created, what is the source of the energy that is released when gasoline is burned?

A quarter-pound hamburger with all the fixings has a mass of $200 \mathrm{~g}$. The food energy of the hamburger ( 480 food calories) is $2 \mathrm{MJ}$.
a. What is the energy equivalent of the mass of the hamburger?
b. By what factor does the energy equivalent exceed the food energy?

A photon's wavelength is equal to the Compton wavelength of a particle with mass $m$. Show that the photon's energy is equal to the particle's rest energy.

A step-up transformer increases voltage, or energy per unit charge. Why doesn't this violate energy conservation?

Why is it possible to set the energy of the ground vibrational and electronic energy level to zero?

How does the rest energy of an object on a table compare to its potential energy?

For the linear system defined by the given initial value problem, (a) Determine the system transfer function, $\Phi(s)$. (b) Determine the Laplace transform of the output, $Y(s)$, corresponding to the specified input, $f(t)$.

$$y^{\prime \prime}+4 y^{\prime}+4 y=f(t), \quad y(0)=0, \quad y^{\prime}(0)=0: \quad f(t)=t, \quad 0 \leq t<1, \quad f(t+1)=f(t)$$

For each of the following, write an equation that corresponds to the energy given. lattice energy of MgS

Determine the linear transformation $T: \mathrm{R}^{3} \rightarrow \mathrm{R}^{3}$ that takes a vector of brand amounts (in hundreds of pounds) as input and gives the nutrient vector as output. Then find a formula for $T^{-1}$, and use it to determine the amount of Vigoro, Parker’s, and Bleyer’s required to produce the specified nutrient mix. 409 pounds of nitrogen, 204 pounds of phosphoric acid, and 81 pounds of potash.

What's the quantum number for a particle in an infinite square well if the particle's energy is $25$ times the ground-state energy?

When does a pendulum have the highest gravitational potential energy? When does it have the highest kinetic energy?