Describe two ways of determining the diameter of a star.

How do we distinguish stars from brown dwarfs? How do we distinguish brown dwarfs from planets?

Let

$$f ( x ) = \frac { \cos x } { 1 + x ^ { 2 } }$$

. (a) Use a graphing device to graph f in an appropriate viewing rectangle. (b) Determine from the graph if f is even, odd, or neither. (c) Find the minimum and maximum values of f.

Name and describe the three types of binary systems.

What is the defining difference between a brown dwarf and a true star?

Suppose hominids one million years ago had left behind maps of the night sky. Would these maps represent accurately the sky that we see today? Why or why not?

Symmetry: For $y^{\prime}=f(t,y)$ do the following: $(a)$ Sketch the direction fields and identify visual symmetries. $(b)$Conjecture how these graphical symmetries relate to algebraic symmetries in $f(t,y)$.$y^{\prime}=\frac{y^{2}}{t}$

Order the seven basic spectral types from hottest to coldest.

What star appears the brightest in the sky (other than the Sun)? The second brightest? What color is Betelgeuse? Use Appendix J to find the answers.

How can the verb tener be used in a phrase to answer this question? ¿Marcela quiere más agua? Creo que ella ____________________________.

Based on their colors, which of the following stars is hottest? Which is coolest? Archenar (blue), Betelgeuse (red), Capella (yellow).

Find the length of the curve $y=\ln (\csc x)$ from $x=\pi / 6$ to $x=\pi / 4$

The star Antares has an apparent magnitude of 1.0, whereas the star Procyon has an apparent magnitude of 0.4. Which star appears brighter in the sky?

Do stars that look brighter in the sky have larger or smaller magnitudes than fainter stars?