Approximate area swept out by a ray from the sun to planet as θ increases from 0 to π 9 by using polar equation of ellipse used in exercise 63 and use the result to determine the number of years required for the planet to move through this arc when period of one revolution is around the sun is 165 years.

Question

Want to see the full answer?

Answer 1

Question

Chapter 10.6, Problem 65E

(a)

To determine

To calculate: Approximate area swept out by a ray from the sun to planet as θ increases from 0 to π9 by using polar equation of ellipse used in exercise 63 and use the result to determine the number of years required for the planet to move through this arc when period of one revolution is around the sun is 165 years.

(b)

To determine

To calculate:

Approximate angle α such that area swept out by a ray from the sun to planet as θ increases from π to α equals the area found in part a

Does the ray sweep through a larger or smaller angle than in part a to generate the same area and why is this case

(c)

To determine

To Find:

Distance the planet travelled in part a and part b

Use these distances to approximate the average number of kilometres per year the planet travelled in two cases

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.

Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)

use Integration by Parts to derive 12.6.1

Answer 2

Question

Chapter 10.6, Problem 65E

(a)

To determine

To calculate: Approximate area swept out by a ray from the sun to planet as θ increases from 0 to π9 by using polar equation of ellipse used in exercise 63 and use the result to determine the number of years required for the planet to move through this arc when period of one revolution is around the sun is 165 years.

(b)

To determine

To calculate:

Approximate angle α such that area swept out by a ray from the sun to planet as θ increases from π to α equals the area found in part a

Does the ray sweep through a larger or smaller angle than in part a to generate the same area and why is this case

(c)

To determine

To Find:

Distance the planet travelled in part a and part b

Use these distances to approximate the average number of kilometres per year the planet travelled in two cases

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 10.6, Problem 65E

(a)

To determine

To calculate: Approximate area swept out by a ray from the sun to planet as θ increases from 0 to π9 by using polar equation of ellipse used in exercise 63 and use the result to determine the number of years required for the planet to move through this arc when period of one revolution is around the sun is 165 years.

(b)

To determine

To calculate:

Approximate angle α such that area swept out by a ray from the sun to planet as θ increases from π to α equals the area found in part a

Does the ray sweep through a larger or smaller angle than in part a to generate the same area and why is this case

(c)

To determine

To Find:

Distance the planet travelled in part a and part b

Use these distances to approximate the average number of kilometres per year the planet travelled in two cases

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 10.6, Problem 65E

(a)

To determine

To calculate: Approximate area swept out by a ray from the sun to planet as θ increases from 0 to π9 by using polar equation of ellipse used in exercise 63 and use the result to determine the number of years required for the planet to move through this arc when period of one revolution is around the sun is 165 years.

(b)

To determine

To calculate:

Approximate angle α such that area swept out by a ray from the sun to planet as θ increases from π to α equals the area found in part a

Does the ray sweep through a larger or smaller angle than in part a to generate the same area and why is this case

(c)

To determine

To Find:

Distance the planet travelled in part a and part b

Use these distances to approximate the average number of kilometres per year the planet travelled in two cases

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 10.6, Problem 65E

(a)

To determine

To calculate: Approximate area swept out by a ray from the sun to planet as θ increases from 0 to π9 by using polar equation of ellipse used in exercise 63 and use the result to determine the number of years required for the planet to move through this arc when period of one revolution is around the sun is 165 years.

(b)

To determine

To calculate:

Approximate angle α such that area swept out by a ray from the sun to planet as θ increases from π to α equals the area found in part a

Does the ray sweep through a larger or smaller angle than in part a to generate the same area and why is this case

(c)

To determine

To Find:

Distance the planet travelled in part a and part b

Use these distances to approximate the average number of kilometres per year the planet travelled in two cases

Answer 6

Chapter 10.6, Problem 65E

(a)

To determine

To calculate: Approximate area swept out by a ray from the sun to planet as θ increases from 0 to π9 by using polar equation of ellipse used in exercise 63 and use the result to determine the number of years required for the planet to move through this arc when period of one revolution is around the sun is 165 years.

Answer 7

Chapter 10.6, Problem 65E

(a)

To determine

To calculate: Approximate area swept out by a ray from the sun to planet as θ increases from 0 to π9 by using polar equation of ellipse used in exercise 63 and use the result to determine the number of years required for the planet to move through this arc when period of one revolution is around the sun is 165 years.

Answer 8

(b)

To determine

To calculate:

Approximate angle α such that area swept out by a ray from the sun to planet as θ increases from π to α equals the area found in part a

Does the ray sweep through a larger or smaller angle than in part a to generate the same area and why is this case

Answer 9

(b)

To determine

To calculate:

Approximate angle α such that area swept out by a ray from the sun to planet as θ increases from π to α equals the area found in part a

Does the ray sweep through a larger or smaller angle than in part a to generate the same area and why is this case

Answer 10

(c)

To determine

To Find:

Distance the planet travelled in part a and part b

Use these distances to approximate the average number of kilometres per year the planet travelled in two cases

Answer 11

(c)

To determine

To Find:

Distance the planet travelled in part a and part b

Use these distances to approximate the average number of kilometres per year the planet travelled in two cases

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 15

Ch. 10.1 - Conic Sections State the definitions of parabola,...Ch. 10.1 - Reflective Property Use a sketch to illustrate the...Ch. 10.1 - Eccentricity Consider an ellipse with eccentricity...Ch. 10.1 - Prob. 4E Ch. 10.1 - Match the following graph with its equations y2=4x...Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E

Solution Summary: The author calculates the approximate area swept out by a ray from the sun to planet as theta by using polar equation of ellipse used in exercise 63.

To calculate:

Approximate angle α such that area swept out by a ray from the sun to planet as θ increases from π to α equals the area found in part a

Does the ray sweep through a larger or smaller angle than in part a to generate the same area and why is this case

To Find:

Distance the planet travelled in part a and part b

Use these distances to approximate the average number of kilometres per year the planet travelled in two cases

Want to see the full answer?

Chapter 10 Solutions

Solution Summary: The author calculates the approximate area swept out by a ray from the sun to planet as theta by using polar equation of ellipse used in exercise 63.

To calculate: Approximate angle α such that area swept out by a ray from the sun to planet as θ increases from π to α equals the area found in part a Does the ray sweep through a larger or smaller angle than in part a to generate the same area and why is this case

To Find: Distance the planet travelled in part a and part b Use these distances to approximate the average number of kilometres per year the planet travelled in two cases

Want to see the full answer?

Chapter 10 Solutions

To calculate:

Approximate angle α such that area swept out by a ray from the sun to planet as θ increases from π to α equals the area found in part a

Does the ray sweep through a larger or smaller angle than in part a to generate the same area and why is this case

To Find:

Distance the planet travelled in part a and part b

Use these distances to approximate the average number of kilometres per year the planet travelled in two cases