A parallel-plate capacitor is made using two circular plates of radius a, with the bottom plate on the xy plane, centered at the origin. The top plate is located at z = d, with its center on the z axis. Potential $V_0$ is on the top plate; the bottom plate is grounded. Dielectric having radially dependent permittivity fills the region between plates. The permittivity is given by $\epsilon(\rho)=\epsilon_{0}\left(1+\rho^{2} / a^{2}\right)$ Find (a)V(z); (b) E; (c) Q; (d)C.

Why do most dietary experts recommend that you obtain most of your Calories from whole grains , vegetables, and fruits?

The Seattle Recycling Company (SRC) purchases old water and soda bottles and recycles them to produce plastic covers for outdoor furniture. The company processes the bottles in a special piece of equipment that first melts, than reforms the plastic into large sheets that are cut to size. The edges from the cut pieces are sold for use as package filler. The filler is considered a byproduct. SRC can produce 25 table covers, 75 chair covers, and 5 pounds of package filler from 100 pounds of bottles. In June, SRC had no beginning inventory. It purchased and processed 120,000 pounds of bottles at a cost of $600,000. SRC sold 25,000 table covers for$12 each, 80,000 chair covers for $8 each, and 5,000 pounds of package filler at$1 per pound. 1. Assume that SRC allocates the joint costs to table and chair covers using the sales value at splitoff method and accounts for the byproduct using the product method. What is the ending inventory cost for each product and gross margin for SRC? 2. Assume that SRC allocates the joint costs to table and chair covers using the sales value at splitoff method and accounts for the byproduct using the sales method. What is the ending inventory cost of each product and gross margin for SRC? 3. Discuss the difference between the two methods of accounting for byproducts, focusing on what conditions are necessary to use each method.

Sketch reasonable graphs for the following:The temperature of a cup of hot coffee standing in a room, plotted as a function of time. Pay particular attention to the concavity of the graphs.

Each of the lettered choices below refers to the following numbered statements. Select the best lettered choice. A choice may be used once, more than once, or not at all. (A) Lateral bud (B) Apical dominance (C) Gibberellin (D) Cytokinin (E) Dormancy. 6. Merismatic area on the side of a stem that gives rise to side branches.

Escoge entre qué y cuál(es).

¿Con ______ otro artista se puede comprar éste?

Taking the age of Earth to be about $4 \times 10^{9}$ years and assuming its orbital radius of $1.5 \times 10^{11}$ has not changed and is circular, calculate the approximate total distance Earth has traveled since its birth (in a frame of reference stationary with respect to the Sun).

Identify each of the following word groups by writing above it F if the word group is a sentence fragment, R if it is a run-on sentence, or S if it is a complete sentence.

Example 1. $\overset{\textit{\color{#c34632}{F}}}{{\text{Although}}}$ we had already eaten dinner at home.

First we rode the Ferris wheel, then we got in line for the rollercoaster.

Metalworking A sheet of metal that is 8 feet long and 6 feet wide is to be cut into cylindrical cans like the one shown. How many lateral surfaces for the cans can be cut from the metal sheet with as little waste as possible?

The Cap aux Diamants is a high bluff overlooking the St. Lawrence River at Québec City, rising about $98 \mathrm{~m}$ above the river. Suppose you launch a projectile horizontally over the river from the bluff with an initial speed of $2.9 \times 10^2 \mathrm{~m} / \mathrm{s}$. (a) Calculate the time it takes for the projectile to land. (b) Calculate the range of the projectile, in kilometres.

Let $X_1$ and $X_2$ have the joint pmf $p(x_1, x_2)$ described as follows:

$$\begin{matrix} \ {(x_1, x_2)} & \text{(0, 0)} & \text{(0, 1)} & \text{(1, 0)} & \text{(1, 1)} & \text{(2, 0)} & \text{(2, 1)}\\ \ {p(x_1, x_2)} & \ {\frac { 1 } { 18 }} & \ {\frac { 3 } { 18 }} & \ {\frac { 4 } { 18 }} & \ {\frac { 3 } { 18 }} & \ {\frac { 6 } { 18 }} & \ {\frac { 1 } { 18 }}\\ \end{matrix}$$

and $p(x_1, x_2)$ is equal to zero elsewhere. Find the two marginal probability mass functions and the two conditional means. Hint: Write the probabilities in a rectangular array.

Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word.

Attention to orthography is especially important on your college application because...

Snow began falling at noon on Sunday. The amount of snow on the ground at a certain location at time t was given by the function

$$\left. \begin{array} { r l } { h ( t ) = } & { 11.60 t - 12.41 t ^ { 2 } + 6.20 t ^ { 3 } } { - 1.58 t ^ { 4 } + 0.20 t ^ { 5 } - 0.01 t ^ { 6 } } \end{array} \right.$$

where t is measured in days from the start of the snowfall and h(t) is the depth of snow in inches. Draw a graph of this function, and use your graph to answer the following questions. (a) What happened shortly after noon on Tuesday? (b) Was there ever more than 5 in. of snow on the ground? If so, on what day(s)? (c) On what day and at what time (to the nearest hour ) did the snow disappear completely?

An avalanche occurs when a mass of snow slides down a steep mountain slope. Discuss the energy conversions responsible for water vapor rising to form clouds, falling as snow on a mountain, and then sliding down a slope as an avalanche.