(a) Which words in the poem relate to a sense of order and which to disorder? (b) How does this diction add to the poem's meaning? Explain.

Both circular coils A and B have area $A$ and $N$ turns. They are free to rotate about a diameter that coincides with the $x$-axis. Current $I$ circulates in each coil in the direction shown. There is a uniform magnetic field $\vec{B}$ in the $+z$-direction. (b) Explain why the torque on both coils due to the magnetic field is zero, so the coil is in rotational equilibrium.

Many American teenagers have diets high in fats. Write a letter to the editor of your local newspaper explaining why. Suggest steps that can be taken to improve teen diets.

(a) Show that if

$$\alpha > 0$$

, then the function

$$x \mapsto x^\alpha$$

is strictly increasing on

$$(0, \infty)\ to\ \mathbb{R}$$

and that

$$\lim_{x\to0}x^{\alpha}=0\ and\ \lim_{x\to\infty}x^{\alpha}=\infty.$$

(b) Show that if

$$\alpha < 0$$

, then the function

$$x \mapsto x^\alpha$$

is strictly decreasing on

$$(0, \infty)\ to\ \mathbb{R}$$

and that

$$\lim_{x\to0+}x^{\alpha}=\infty\ and\ \lim_{x\to\infty}x^{\alpha}=0.$$

A $150$-$\mathrm{mm}$-diameter galvanized iron pipe is utilized to transport water at $T=30^{\circ} \mathrm{C}$ with a velocity of $1.5 \mathrm{~m} / \mathrm{s}$ Find the pressure drop over the $20-\mathrm{m}$ length of the pipe.

Graph each open sentence x-y<4

The measured voltage across an unloaded secondary of a transformer is usually a. the same as the rated secondary voltage. b. $5$ to $10\%$ higher than the rated secondary voltage. c. $50\%$ higher than the rated secondary voltage. d. $5$ to $10\%$ lower than the rated secondary voltage.

Prove:

If s is odd, $\alpha$ is the square of some cycle of length $\alpha$. (Find it. Hinr: Show $\alpha=\alpha^{+1}$.)

Consider a building whose annual air-conditioning load is estimated to be 40,000 kWh in an area where the unit cost of electricity is $0.10/kWh. Two air conditioners are considered for the building. Air conditioner A has a seasonal average COP of 2.3 and costs$5500 to purchase and install. Air conditioner B has a seasonal average COP of 3.6 and costs $7000 to purchase and install. All else being equal, determine which air conditioner is a better buy.

Evaluate the experiments that led to the conclusion that electrons are negatively charged particies found in all matter.

Make a sketch of an electric circuit that contains a switch and two lightbulbs connected in such a way that if either bulb burns out the other still functions, but if the switch is turned off, both bulbs go out.

The atomic mass of element X is 33.42 amu. A 27.22-g sample of X combines with 84.10 g of another element Y to form a compound XY. Calculate the atomic mass of Y.

Which is the source of electrons in the electron transport chain stage of respiration? A. formation of acetyl CoA during the Krebs cycle, B. creation of NADH and $FADH_2$ during the Krebs cycle, C. fermentation of lactic acid, D. breaking of bonds in glycolysis.

Verify the identity.

$$\newline\sin^2\alpha-\sin^4\alpha=\cos^2\alpha-\cos^4\alpha$$