12 Nov 2021
Problem 26b
Page 37
Section 1.2: Mathematical Models: A Catalog of Essential Functions
Chapter 1: Functions and Models
Textbook ExpertVerified Tutor
12 Nov 2021
Given information
Given chart shows that the mean (average) distances 
of the planets from the sun and their periods 
(time of revolution in years), to make power model.
Kepler’s Third Law of Planetary Motion states that “The square of the period of revolution of a planet is proportional to the cube of its mean distance from the sun.”
Given power model 
fits the given data.
Step-by-step explanation
Step 1.
Given power model fits the given data.
Examine Kepler’s Third Law of Planetary Motion statement.
Let the period of revolution of a planet be and mean distance of a planet from the sun is .
Therefore, by Kepler’s Third Law of Planetary Motion 
, where 
is Kepler's constant.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 1c
- Problem 1d
- Problem 1e
- Problem 1f
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 2d
- Problem 2e
- Problem 2f
- Problem 3a
- Problem 3b
- Problem 3c
- Problem 4a
- Problem 4b
- Problem 4c
- Problem 4d
- Problem 5a
- Problem 5b
- Problem 5c
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10a
- Problem 10b
- Problem 11a
- Problem 11b
- Problem 12a
- Problem 12b
- Problem 13a
- Problem 13b
- Problem 14a
- Problem 14b
- Problem 14c
- Problem 15a
- Problem 15b
- Problem 15c
- Problem 16a
- Problem 16b
- Problem 16c
- Problem 17a
- Problem 17b
- Problem 18a
- Problem 18b
- Problem 18c
- Problem 18d
- Problem 18e
- Problem 19a
- Problem 19b
- Problem 20a
- Problem 20b
- Problem 21a
- Problem 21b
- Problem 21c
- Problem 21d
- Problem 21e
- Problem 21f
- Problem 22
- Problem 22
- Problem 22
- Problem 22
- Problem 22a
- Problem 22b
- Problem 22c
- Problem 23
- Problem 23
- Problem 23a
- Problem 23b
- Problem 23c
- Problem 23d
- Problem 24
- Problem 25
- Problem 26a
- Problem 26b