Indicate whether J.J. Thomson would have agreed or disagreed with each of the following statement. "Electrons have a negative charge." Give reasons for your answer.

(a) Why does a human expend a large amount of energy when exposed to cold temperatures for a long period of time? _____ (b) How is this different to a lizard exposed to the same conditions? _____

The table shows the 1790 United States census. In 1793, at the direction of President George Washington, 105 seats in the House of Representatives were to be divided among the 15 states according to their 1790 populations. Use this information to solve.

$$\begin{matrix} \text{Connececticut} & \text{236.841} & \text{New York} & \text{331.589}\\ \text{Delaware} & \text{55.540} & \text{North Carolina} & \text{353.523}\\ \text{Georgia} & \text{70.835} & \text{Pennsylvania} & \text{432.879}\\ \text{Kentucky} & \text{68.705} & \text{Rhode Island} & \text{68.446}\\ \text{Maryland} & \text{278.514} & \text{South Carolina} & \text{206.236}\\ \text{Massachusetts} & \text{475.327} & \text{Vermont} & \text{85.533}\\ \text{New Hampshire} & \text{141.822} & \text{Virginia} & \text{630.560}\\ \text{New Jersey} & \text{179.570}\\ \end{matrix}$$

Use Webster’s method with d=34.500 to find each state's apportionment of congressional seats.

In Exercise, use a total differential to approximate the change in $f ( x , y )$ as $( x , y )$ varies from $P$ to $Q .$

$$f ( x , y ) = \frac { x + y } { x y } ; P ( - 1 , - 2 ) , Q ( - 1.02 , - 2.04 )$$

A person who has a near point of 25.0 cm is looking with unaided eyes at an object that is located at the near point. The object has an angular size of 0.012 rad. Then, holding a magnifying glass (f=10.0 cm) next to her eye, she views the image of this object, the image being located at her near point. What is the angular size of the image?

John Mills - the proprietor of Mills Engine Company, a manufacturer of model airplane engines - finds that it takes x unit s of labor and y units of capital to produce

$$f(x,y) = 100x^{3/4}y^{1/4}$$

unit s of the product. If a unit of labor costs $100, a unit of capital costs$200, and $200,000 is budgeted for production, determine how many units should be expended on labor and how many units should be expended on capital in order to maximize production.

Find the displacement vector $\vec{P Q}$. P=(3, 1, -2), Q=(2, -1, 1)

Name one similarity and one difference between water, water vapor, and ice.

Classify each of the following properties of carbon dioxide as physical or chemical. (a) colorless (b) forms carbonic acid in an aqueous solution (c) will not burn (d) freezes at -78 $^o$C (e) odorless

How is a barefoot fire walker able to walk safely on redhot wooden coals?

Color and texture are examples of ________ properties, whereas mass and temperature are examples of ________ properties.

Atoms that lose electrons assume a positive charge and become ________.

What would the final temperature be if the pellet from Sample Problem 5.5, initially at 95 °C, were dropped into a 218-g sample of water, initially at 23.8 °C?

Use implicit differentiation to find dy/dx and then d^2y / dx^2. Write the solutions in terms of x and y only. xy + y^2 = 1