What are the largest- and smallest-known values of the mass, luminosity, surface temperature, and diameter of stars (roughly)?

How does the mass of the Sun compare with that of other stars in our local neighborhood?

Simplify the expression.

$$13 ^ { \frac { 1 } { 2 } } \cdot 13 ^ { \frac { 3 } { 2 } }$$

Use a CAS to solve the initial value problem. Plot the solution curves.

$$y^{\prime}=\frac{1}{\sqrt{4-x^{2}}}, \quad y(0)=2$$

What are some of the physical properties of stars?

Explain why the dark lines of an absorption spectrum have the same wavelengths as the bright lines of an emission spectrum for the same element.

Explain why each element has a unique spectrum of absorption or emission lines.

Using Newton's Law of Gravitation, if there are two objects exerting the force of gravity on each other and the mass of one of the objects is quadrupled, then the force between them is a. doubled. b. quartered. c. tripled. d. quadrupled.

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.

Why is the spectrum of a star called an absorption spectrum?

Why is an absorption spectrum especially useful for astronomers?

Find the second derivative of the given function. $f(x)=e^{2 x}+2 e^{-x}$

Water is pumped through a pipe of diameter 15.0 cm from the Colorado River up to Grand Canyon Village, on the rim of the canyon. The river is at 564 m elevation and the village is at 2 096 m. What additional pressure is necessary to deliver this flow? Note: You may assume the free-fall acceleration and the density of air are constant over the given range of elevations.

Give an argument using rules of inference to show that the conclusion follows from the hypotheses. Hypotheses: Everyone in the class has a graphing calculator. Everyone who has a graphing calculator understands the trigonometric functions. Conclusion: Ralphie, who is in the class, understands the trigonometric functions.