Turn in #10 is due Thursday, Dec. 18, 2014!
This is for discussing assignments from WEEK 2&3, including homework,
turn-in #10, and in-class work or lessons, or anything else related to the
class from this week. 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!!!).
Option 1: quiz Friday 12/19 on differential equations.
ReplyDeleteOption 2: movie (I'll provide) and snacks/treats (you provide) on Friday 12/19.
If I have 100% of students term 2 project proposals checked off by the end of the day Thursday, we will do option 2. Otherwise, I have some GREAT problems for option 1!
In case you are wondering, right now I have 2 of 47 students checked off.
When using partial fractions to find an anti derivative can you cross out a hole if there is one?
ReplyDeleteThanks,
Rachel Hersch
If you Are asking that if an expression simplifies once it is factored, then yes, you should simplify the expression.
DeleteFor our project proposals due Thursday, what do we have to write out? Should we have a written proposal with details or a basic outline? Will we be discussing this in class? Thanks,
ReplyDeleteMaggie Hammond
To get my signature I must see which three of the six calculus topics you plan to incorporate. For Ms. m's signature she will need to know what motion you are analyzing. No class time will be spent on this project.
DeleteWhat is the difference between u-sub and the y-sub technique that we used in class? Are they interchangeable?
ReplyDeleteThanks,
Allison Honet
The difference is that we used y sub in conjunction with IBP, so to avoid confusing the "u" function in the IBP process, we called the function y instead of u. The larger question is, can you recognize when to use y sub with IBP vs u sub? This, I will leave for others to answer :)
DeleteHow do you integrate when there is the addition of 2 variables and a constant (3c on the turn in)
ReplyDelete-Abby Siegal
You don't need to integrate anything. Just focus on the fact that it is asking for if it is a maximum, minimum, or neither. You can use the 2nd derivative that you calculated in 3b for this.
DeleteI had the same questions as Abby. I understand, that for the concavity question you can just use the second derivative, but there is a question about f(x), so we will have to somehow integrate the given dy/dx
Delete-Marie Suehrer
You do not need to calculate the anti derivative for this question. It is, in fact, not possible to do without some further advanced coursework in differential equations.
DeleteFor the project, can you clarify to what type of motion "calculus of a polar function" and "calculus of a parametric/vector function" would apply? The motion I had in mind is rotational and would involve arc length, which I saw in the parentheses on the handout, but I wasn't sure since we haven't covered that calculus yet. Thanks,
ReplyDelete-Safia Sayed
We have not yet covered some topics that will be of use on your project, so you may want to look ahead in the text and see what is entailed. Calculus means performing a derivative or an integral, and we can do this to a polar function as well as a parametric (vector) function.
DeleteWhen drawing out slope fields, what should we draw to represent something that does not exist? For example, in number 6 on the Day 2 HW of slope fields, the differential equation is -y/x so when x is 0, there is a vertical asymptote. Is there a way to represent this or do we simply leave it blank?
ReplyDelete-Kelsey Nowak 4th Hour
The situation you describe will have vertical tangents when x=0, so we draw vertical "ticks" on the slope field.
DeleteThank you!
Delete-Kelsey Nowak
I have a question similar to Kelsey's, when we are given a slope field and there are no ticks at some places, can we automatically assume that there's a vertical tangent there? Or could it also represent something else?
ReplyDeleteThanks,
Emma Gijsbers
Look at the slopes around the missing tick marks and see if they imply verticality. Maybe sketch a few sample solution curves to help. Most likely they should be vertical but the software used to create the slope field could not draw them in.
DeleteTo clarify my expectations for tonight's HW, you are to complete the ENTIRE exploration handout, as well as the front of the notes which asks you to derive the general solution to the given differential equation (provided on the back of the notes). You may wish to do the notes prior to completing problem #7 of the exploration, since we ran out of time.
ReplyDeleteRegarding the integration techniques quiz: The two most important skills to take from this course are being able to differentiate a function and being able to integrate a function. Thus, just as last term with the derivatives quiz, I will allow for retakes of the integration techniques quiz on Wednesday, 1/7/2015 during X-Block. This is a one-time only offer.
When taking the antiderivative of dy, is it possible to go straight to f(x)?
ReplyDeleteSarah Fried
I'm not understanding your question. The integral of dy is y + C.
DeleteThis board is now closed for participation points. Please use the "December Break" board for discussing the Turn In #11.
ReplyDelete