Turn in #13 is due Thursday, Feb. 11, 2016!
This is for discussing assignments from WEEKS 8-9, including homework,
turn-in #13, 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!!!).
I'm stuck on #8 on Vector Motion worksheet #1. (finding the position of a particle when it is at rest given the x and y parametric equations) Any ideas on how to solve it?
ReplyDelete-Sarah Mostofizadeh
To be at rest, BOTH dx/dt and dy/dt have to be zero. This enables you to find the t value, which you can use in the position function to find the position.
DeleteFor 1a on the turn in, I was trying to take the integral of the dx/dt equation given, but I keep getting stuck on the 2cos(t^2). Can anyone explain how to do this problem?
ReplyDeleteThat integral cannot be done directly without a series expansion for cosine. Thus, use your calculator...keep in mind this is a definite integral
DeleteSo don't forget to add the initial condition!!
DeleteI had a question about notation. If we take the integral of a velocity vector and add its initial position, we are allowed to then write out answer in parenthesis correct?
ReplyDeleteIt depends. If you are describing a point in the xy plane, then use parenthesis. If you are describing a position vector, then we need triangle brackets. So, if you apply FTC to a velocity vector function and incorporate an initial position, then your result would be a final position, (x, y). Unfortunately, the worksheets we used this week were inconsistent with notation, which is sad because I got them from the AP website.
DeleteI was also wondering if there is going to be, under solids and revolutions, shells on the AP? I thought it was mentioned that it is on the AP but another teacher told me that they have knowledge to believe otherwise.
ReplyDeleteI have not seen a problem requiring cylindrical shells in recent years. The AP course description does not explicitly state a method to use for finding volumes of solids of revolution. If it were to appear, my hunch is it would be a non-calculator MC question where you would need to spot the answer. I would no lose sleep over it as a major topic.
DeleteFor 34 in the bookwork on page 538, when we are trying to find the time the particles collide, do we stay in function mode or switch to parametric?
ReplyDeleteIf you're trying to find the intersection of 2 curves function mode is best. I would only use parametric mode to see the shape of the curve.
DeleteI'm a bit confused on #2 b and c on the turn in. Does anyone have any suggestions for connecting t values to x and y coordinates on the graph of a parametric function?
ReplyDeleteFTC
DeleteIf we want to get our projects checked before break, do we send them to you or Ms. Marentette or both of you?
ReplyDeleteThe project requires your video and analysis to be uploaded to Ms.M's page and your page of calculus work to be turned in to me.
DeleteHow do we turn in the calculus work to you? If the math is on the online page do we send a link, or should the work be a hard copy?
Delete-Sarah Mostofizadeh
I would like a hard copy, please.
DeleteI'm confused on the bookwork for the turn in. Where should I start for problems 25 and 26 on page 519?
ReplyDeleteFor 25, I proved found dx/dt and f'(x), then substituted in :)
DeleteSarcastic reply: Start them after #24.
DeleteOtherwise, do what Skyeler suggests :)