Turn in #14 is due Friday, Mar.4, 2016!
This is for discussing assignments from WEEKS 10-11, including homework,
turn-in #14, Term 2 Project, in-class
work or lessons, or anything else related to the
class from these weeks. Please be sure to include your
name at the end of your post for credit. When answering a question, DO
NOT GIVE SOLUTIONS! Provide hints or explain a method that you used, but
do not give the final result. As always, RESPECT IS A MUST! Anyone
abusing this forum will be banned from future use (meaning, no extra
credit!!!).
When you are finding an area of a single polar function, how do you get the upper and lower limits? I understand how to do it when finding the area between curves, but I am a little confused when there is only one curve.
ReplyDeleteThat's the 1/2 the integral formula. What you do is simple the beginning and ending point of the graph which is usually 2pi. There are some exceptions, like when we use symmetry but that is just you integrate from zero or pi/2 or wherever to wherever the shape repeats itself. What you have to be careful of is when the shape has a negative radius as results in a hole. That is when you need to subtract out the middle region as many times as needed. I hope that helped.
DeleteBe careful. Some curves repeat BEFORE 2pi. Analyze the curve (where is it at theta =0? When is it at the pole? When is it at a maximum or minimum radius value?)
DeleteI had a question about the project. When you ask for parametric equations what explicitly do you want? Our project is a damped spring so it is an equation already set up in parametric mode. Is that all you want?
ReplyDeleteThe requirement is to perform calculus on the parametric function (i.e. Differentiate or integrate).
DeleteHow do you want us to describe the motion of the lima bean in problem 3 of the turn in?
ReplyDeleteIs it speeding up? Is it moving away from the pole? Etc.
Deletefor 1b on the turn in, once you set up the equation to solve for x( -pi) how do you solve for it? this may be a silly question but yea
ReplyDeletereplace the x in x=rcos(theta) with -pi
DeleteYou move the -pi over to the other side and put the equation in your calculator and find where it crosses the x-axis. Keep it in function mode not polar mode.
ReplyDeletegracias
DeleteI'm kind of confused about using the double angle theorem. Do you have to use it, or does it just make the equation simpler to integrate when you make the change? I'm looking over notes and I'm just really confusing myself. Any help with this would be great
ReplyDeleteThe double angle formula is needed to integrate sin^2 and cos^2 by hand, I believe.
Delete-Sarah Mostofizadeh
Sarah is spot on. It is the ONLY way we can integrate sin^2 or cos^2 (so far)
Deletewill we be expected to use double angle tomorrow on the quiz?
DeleteI believe we should know the formulas, yes
DeleteWill we be able to use calculators tomorrow during the quiz?
ReplyDeleteAre there certain shapes of polar graphs that we should know (if we see an equation should we know its general shape)?
ReplyDelete-Sarah Mostofizadeh
Are we allowed to use calculators on the extra credit?
ReplyDelete-Sarah Mostofizadeh
Yes, you will need to use a calculator.
Delete