Turn in #12 is due Tuesday, Jan. 20, 2015!
This is for discussing assignments from WEEK 4-6, including homework,
turn-in #12, the Midterm Exam, and in-class work or lessons, or anything else related to the
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credit!!!).
When using Euler's method will we always be given delta x?
ReplyDeleteThanks,
Rachel Hersch
You will be given delta x or be told to split the interval into n equal parts, which allows you to compute delta x.
DeleteI have altered the calendar for January slightly (updated version is now on course website). Things of note: Turn in #12 will be due Tues 1/20 now instead of next Thurs., and our Midterm Exam will be Thurs and Fri 1/22 & 1/23.
ReplyDeleteWill Euler's method usually show up on the calculator or non calculator section of the AP? And will we be able to use a calculator for it on quizzes and tests?
ReplyDelete-Amanda Bachand
Since 1999 it is most frequently part of the free response, non calculator section. Typically as part of a question dealing with a differential equation, which will inevitably ask at some point to separate variables to find a particular solution. Usually you are only asked for 2-4 steps using Euler's method.
DeleteOn the AP, will there be a question asking for the improved euler's method? Thank you,
ReplyDeleteMaggie Hammond
Is the quiz coming up this week calculator or non calculator?
ReplyDeleteThanks!
Laura Goo
It is not yet written. Be prepared for either case.
DeleteI am a little confused on number 24 on the homework. When a problem asks to tell if the integral diverges, should I simplify the whole integral before I change the end points of the integral and then take the limit or do I change the end points before simplifying and take the limit right away?
ReplyDeleteThanks,
Emma Gijsbers
You must find the limit as the limit of integration approaches infinity. If this limit is finite, then the integral is equal to this value. If the limit is infinite (does not exist) then the integral diverges.
DeleteFor question 50 part B on page 443, are we allowed to just plug that into our calculator? Or do we have to be able to evaluate the integrals by hand?
ReplyDeleteThanks,
Katie Weitzel
Sorry, I must have missed this question the other day. I don't have the text with me, so please ask me in person and we'll figure it out.
DeleteOn the turn-in is number 5 suppose to be a calculator problem?
ReplyDeleteThanks,
Rachel Hersch
#5 is a non-calculator problem. Notice in part b you do not have to evaluate the integral.
DeleteDo we have to find the intersection points for 5b on the turn in because the function doesn't factor?
DeleteSince it is a non-calculator problem and the intersections are not able to be found algebraically, I would label the x-coordinates of those points as "a" and "b" and then use those in my integral.
Deletehow would you evaluate part c?
DeleteMarie Suehrer
Distribute the polynomials and integrate term by term. Some terms will require IBP. This problem is good practice on brushing up on anti derivatives for the midterm.
DeleteOk, I started doing it that way but didn't know if it was all necessary,
DeleteThanks,
Marie
sorry for the many posts, but since its turns into all fractions, is it okay if we leave it in terms of several fractions?
DeleteMarie
Remember, once you have plugged in he values into the anti derivative you can stop.
DeleteWill accumulation using FTC (7.1) problems be on Friday's quiz?
ReplyDeleteThanks,
Jenna Weed
It is not a primary emphasis, but ANY topic we have covered is always "fair game". The primary focus is differential equations including approximation with Euler's and improper integrals.
DeleteWill we need to memorize the logistic growth equation for tomorrow?
ReplyDeleteThanks,
Allison Honet
No, it is not necessary.
DeleteWill the solutions be posted for the midterm review?
ReplyDeleteThanks!
Lexi Kizy
If I get time to make a key, I will post it. My priority right now is grading the quizzes so that you can have those back as study aides.
DeleteHow would you go about integrating 5c on the turn-in?
ReplyDeleteThank you,
Angela Satullo
See above, I just answered this question 😃
DeleteFor 1B of the turn in, do we have to show any work for how we got to the integral expression?
ReplyDeleteSorry, I am just now seeing this. Whenever a problem asks for you to set up an integral, you do not need supporting work.
DeleteDo we need to have the power reducing formulas memorized for the midterm?
ReplyDelete-Amanda Bachand
Short answer, no. They are very useful, however, and worth committing to memory when you will be doing lots of integrals involving trig functions.
DeleteBy the way, the double angle and power reducing identities are the same! So, if you remember one, you have both.
DeleteHey Mr. Wilson,
ReplyDeleteWere you able to create an answer sheet for the review?
- Rafey
No, I will not have time to make one. Post specific questions here or see me in the AM.
DeleteRotational volumes will not be on the midterm, correct?
ReplyDelete-Kai Selwa
Correct. Volumes of solids of revolution will not be on the midterm. Volumes of solids with known cross sections WILL be, though.
DeleteFor number 7d on the midterm review and questions like it on the midterm or future exams, after we solve it and get it down to the integration by parts equation, can we stop after xe^(-x^3) to show that it diverges or will more points be based off the rest of the problem with solving the rest of the integral?
ReplyDeleteThanks,
Emma Gijsbers
Well, once you've achieved a place in your work where you've shown a divergent limit, then you can stop. The integral you have, however, converges. You currently have an indeterminate form, so use L'Hopital's.
DeleteWhat's the difference between using the cross-sectional area formula that has a pi vs finding the area of a cross-section and multiplying by dx? Is the first one just used to find rotational area?
ReplyDeleteRafey R
I'm not sure I understand your question. The only time you have Pi in your area formula is if the cross sections are circular, which always results when revolving a region about an axis.
Delete