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Find the derivative of the function. | Ch 4 - 37, 7th Edition

Single Variable Calculus | 7th Edition | ISBN: 9780538497831 | Authors: James W Nilsson ISBN: 9780538497831 151

Solution for problem 37 Chapter 4

Single Variable Calculus | 7th Edition

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Single Variable Calculus | 7th Edition | ISBN: 9780538497831 | Authors: James W Nilsson

Single Variable Calculus | 7th Edition

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Problem 37

Find the derivative of the function.

Step-by-Step Solution:
Step 1 of 3

1 Astronomy Unit 4B Milky Way Galaxy Part 2: The Mass of the Galaxy- We can estimate the mass of the galaxy from the sun’s orbital motion Kepler’s 3 Law applied to the Galaxy is: 3 2 o M = galp o Here, a= the distance to the center of the galaxy, 8.5 kpc or 1.75 AU o The orbital period of the sun around the galaxy is the circumference of its orbit, 2pia, divided by its orbital speed of 220 km/s o It takes the sun 240 million years to orbit the galaxy once Kepler’s Law gives: o M =(gal.75 X 10 AU) / (2.4 X 10 yrs) ) M. = 1.0 X 10 M. 11 o The galaxy contains the equivalent of about 100 billion Suns Mass Beyond the S

Step 2 of 3

Chapter 4, Problem 37 is Solved
Step 3 of 3

Textbook: Single Variable Calculus
Edition: 7
Author: James W Nilsson
ISBN: 9780538497831

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Find the derivative of the function. | Ch 4 - 37, 7th Edition