Describe the properties of a contour line. (Chapter 2)

Find the area of the surface cut from the hemisphere $x^2+y^2+z^2=4, z \geq 0$, by the cylinder $x^2+y^2=2 x$.

Describe el resultado de cada acción usando un participio pasado.
Cuando pierdo mis gafas de sol...

Complete the sentence by inferring information about the italicized word from its context.

During a battle, soldiers might need to abandon an untenable position because...

In the sentence, two verbs appear in parentheses. Underline the correct verb form. Then, circle the subject of the sentence.

(Does, Do) all of the tires on the car need air?

Briefly explain why each of the following statement is false, or reword it to make it true.
Most of the body’s cholesterol comes from the diet.

Prove the properties of scalar multiplication given in this section.

Name 10 objects that contain synthetic organic polymers.

Use transformations to explain how the graph of $f$ can be found by using the graph of $y=x^2, y=\sqrt{x}$, or $y=|x|$. You do not need to graph $y=f(x)$.

$$f(x)=\sqrt{-\frac{1}{2} x}$$

In the earlier exercise, you calculated the probability that the sample mean blood cholesterol level, $\bar{x}$, would estimate the true mean cholesterol level within $\pm$ 3 mg/dl of $\mu$ in samples of size 100.

If you randomly selected one 20-to 34-year-old male instead of 100, would he be more likely, less likely, or equally likely to have a cholesterol level within $\pm$ 3 mg/dl$of$\mu$ ? Explain your reasoning without doing any calculations.

The following represents an electromagnetic wave traveling in the direction of the positive y-axis:

$$\begin{array} { l } { E _ { x } = 0 ; E _ { y } = E _ { 0 } \cos ( k x - \omega t ) ; E _ { z } = 0 } \\ { B _ { x } = 0 ; B _ { y } = 0 ; B _ { z } = B _ { 0 } \cos ( k x - \omega t ) } \end{array}$$

. The wave is passing through a wide tube of circular cross section of radius R whose axis is along the y-axis. Find the expression for the displacement current through the tube.

A heavy-wall tube of Monel, 2.5-cm ID and 5-cm OD, is covered with a $2.5-\mathrm{cm}$ layer of glass wool. The inside tube temperature is $300^{\circ} \mathrm{C}$, and the temperature at the outside of the insulation is $40^{\circ} \mathrm{C}$. How much heat is lost per foot of length? Take $k=11 \mathrm{Btu} / \mathrm{h} \cdot \mathrm{ft} \cdot{ }^{\circ} \mathrm{F}$ for Monel.

A diameter intersects an 8-unit long chord at right angles. What is the length of each of the two chord segments cut by the diameter?

Calculate $\frac{d y}{d x}$. You need not expand your answers. $y=\left(\frac{x^{2.1}}{7}+\frac{2}{x^{2.1}}\right)(7 x-1)$