# An Introduction to Galois Theory [Lecture notes] by Steven Dale Cutkosky

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By Steven Dale Cutkosky

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Is the ball rising or falling then? b. Find the velocity 2 seconds after the ball is thrown. Is the ball rising or falling then? c. 25 seconds after the ball is thrown? d. By how much does the velocity change from 1 to 2 seconds after the ball is thrown? From 2 to 3 seconds? From 3 to 4 seconds? Compare the answers to these three questions and explain in practical terms. 4. Flushing chlorine: City water, which is slightly chlorinated, is being used to ﬂush a tank of heavily chlorinated water. 37t milligrams per gallon .

If mass is measured in kilograms and acceleration in meters per second per second, then the force is given in newtons. 225 pound (which is about a quarter of a pound). In the case of an object near the surface of the Earth, the force due to gravity is its weight. 8 meters per second per second. What is the weight in newtons of a man with a mass of 75 kilograms? What is his weight in pounds? 18. Weight on the moon: This is a continuation of Exercise 17. 67 meters per second per second. Thus an object has a different weight on the Earth than it would on the moon.

4 a. 7). b. 45. 45. How far away is Sirius from Earth? 15. Parallax: If we view a star now, and then view it again 6 months later, our position will have changed by the diameter of the Earth’s orbit around the sun. For nearby stars (within 100 light-years or so), the change in viewing location is sufﬁcient to make the star appear to be in a slightly different location in the sky. 5). ➞ light-year is the distance light travels in 1 year, or about 5,879,000,000,000 miles. 32 Chapter 1 Functions Parallax can be used to measure the distance to the star.