MATH 227 Week 12 Discussion 1

 MATH 227 Week 12 Discussion 1 | Assignment Help | american-public-university-system

Week 12 Forum HOW MANY PETALS?

QUESTIONS:

As we progress to Polar Coordinates and graphing with them, I thought that I would give you a url to print out polar graph paper. Please check it out to see if you find this useful.

http://www.waterproofpaper.com/graph-paper/polar-graph-paper.shtml

A. Check other students titles for this forum to see which functions are already selected. Only the student who first posts that title will be permitted to analyze that function.

B. Please select one of the following polar equation (not already selected). Use your equation as your title. You can use @ in place of the angle. Acceptable title for the first equation would be: r3c = cos(3@).

C. Answer ALL seven questions at the bottom below the list of equations.

Given  r3c= cos(3 )

Given   r3s= sin(3 )

Given  r4c= cos(4 )

Given  r4s= sin(4 )

Given  r5c= cos(5 )

Given  r5s= sin(5 )

Given  r6c= cos(6 )

Given  r6s= sin(6 )

Given  r7c= cos(7 )

Given  r7s= sin(7 )

Given  r8c= cos(8 )

Given  r8s= sin(8 )

Given  r9c= cos(9 )

Given  r9s= sin(9 )

Each student should analyze a different curve and answer the following questions.

A graphing calculator would be very helpful for this task.

1. Write your exact equation both as your title as well as to begin your post.

2. How many petals does it have?

3. How many radians does it take to complete one entire cycle of the graph?

4. Is the entire curve symmetric to the x axis, y axis, origin or none?

5. Where specifically does the first arc begin? Give your answer in (r,@) format.

6. If we begin with 0 degrees and increase, does the graph move clockwise or counter-clockwise.                                                                                                                        7. See if you can include a graph here of your function.