Again using Appendix F, which planet(s) might you expect not to have significant seasonal activity? Why?

Seasons are a result of the inclination of a planet’s axial tilt being inclined from the normal of the planet’s orbital plane. For example, Earth has an axis tilt of $23.4^{\circ}$ (Appendix F). Using information about just the inclination alone, which planets might you expect to have seasonal cycles similar to Earth, although different in duration because orbital periods around the Sun are different?

(a) How is Bottom transformed? (b) Is Bottom aware of his transformation? Explain. (c) Does the transformation alter Bottom's personality as well as his appearance? Why or why not?

A quadratic relation has roots 0 and -6 and a maximum at (-3, 4). Determine the equation of the relation.

Either evaluate the given improper integral or show that it diverges. $\int_{0}^{+\infty} x^{2} e^{-x} d x$

Find the arc length of the curve over the given interval. $r=6 \cos \theta, 0 \leq \theta \leq 2 \pi.$ Check your answer by geometry.

Use the given information about the angle $\theta$ to find the exact value of a. $\sin 2 \theta .$ b. $\cos 2 \theta .$ c. $\tan 2 \theta.$ $\tan \theta = - 2 , \frac { \pi } { 2 } < \theta < \pi$

Mentally calculate each quotient. Write each answer as a decimal number.

$$2.5\div100$$

Which is the least massive planet? What is its mass as a percentage of Earth's mass? Least massive planet: ______ This planet is only _______ percent as massive as Earth.

Interview a sample of 20 people who are not taking an astronomy class and ask them if they can name a living astronomer. What percentage of those interviewed were able to name one? Typically, the two living astronomers the public knows these days are Stephen Hawking and Neil deGrasse Tyson. Why are they better known than most astronomers? How would your result have differed if you had asked the same people to name a movie star or a professional basketball player?

Imagine you are a travel agent in the next century. An eccentric billionaire asks you to arrange a “Guinness Book of Solar System Records” kind of tour. Where would you direct him to find the densest planet?

Imagine you are a travel agent in the next century. An eccentric billionaire asks you to arrange a “Guinness Book of Solar System Records” kind of tour. Where would you direct him to find the following. A. the least-dense planet, B. the densest planet, C. the largest moon in the solar system, D. excluding the jovian planets, the planet where you would weigh the most on its surface, E. the smallest planet, F. the planet that takes the longest time to rotate, G. the planet that takes the shortest time to rotate, H. the planet with a diameter closest to Earth’s, I. the moon with the thickest atmosphere, J. the densest moon, K. the most massive moon.

Imagine you are a travel agent in the next century. An eccentric billionaire asks you to arrange a “Guinness Book of Solar System Records” kind of tour. Where would you direct him to find the largest moon in the solar system?

Imagine you are a travel agent in the next century. An eccentric billionaire asks you to arrange a “Guinness Book of Solar System Records” kind of tour. Where would you direct him to find the smallest planet?