Turn in #9 is due Friday, Jan. 13, 2017!
This is for discussing assignments from WEEKS 5-6, including homework,
turn-in #9, in-class
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For 5a on the turn-in, I would assume that you would find f'(x) and plug in your points into that function to find the slope you would draw for the slope field. When I did this, all my slopes ended up being very large (my slope field has all pretty much vertical lines). Am I doing this right?
ReplyDeleteI got very large numbers as well. Just make them relative to each other, not what they should actually look like.
DeleteI'm confused about 5a. what function can we use to draw the slope field? we don't know g, f, or either of their derivatives, only how they relate to one another. Suggestions?
ReplyDeleteAll the questions build off of one another. So in question 5 when it refers to the function f, it's talking about the one in number 2. And 5a is saying that we're going to assume that f IS the derivative (slope --> slope field) of the function g. In other words, the values that you get out of f are slope values themselves.
DeleteIs the quiz Wednesday going to be similar to the AP problems we have been practicing in class or are there other major concepts I should look over? What are you guys doing/looking over for this quiz?
ReplyDeleteThe quiz is about all differential equations. So, that includes solving a differential by separating variables (and then using methods of differentiation, such as U-sub, IBP, partial fraction decomposition, etc.), drawing/analyzing slope fields, exponential growth/decay and Newton's law of cooling/heating (but less of a focus on this), logistic equations, and Euler's method (more focused on doing it without a calculator).
DeleteFor #12, what does f with a superscript of 1 represent? Is it a typo or is it a new function?
ReplyDeleteThe negative sign is slightly hidden. It's the inverse of f.
DeleteFor number 14 do we need to state the interval in which f is both decreasing and concave down or can we just approximate it off of our highlight?
ReplyDeleteYou should state the interval. You can find the values for the interval using a point of inflection and critical point from #10 and #13.
DeleteYou can easily find values by using the critical point and point of inflection you found in #10 and #13
ReplyDeleteIn response to Jacobs questions
DeleteWhen taking the integral of a function f(t) on the interval of 1-x would x be any random constant?
ReplyDeleteSpeaking about number 4
DeleteI don't understand your question.
DeleteYes, x would be any random constant until it tells you to plug something in for x.
DeleteDoes the f(x) in number 5 refer to the f(x) in number 2?
ReplyDeleteYes, all of the questions throughout the turn in are relating to the original f(x) in question 2.
DeleteLove, Beau
For 15a, is stating that, for example, the velocity is negative so the particle is moving down enough of an explanation or does it need to be more in depth?
ReplyDeleteThat is fine
DeleteWhat is the theorem for #6?
ReplyDeleteIVT
DeleteStupid question- in question one on the turn in is it just approximations (like for RRAM) with a small range of possible answers or is there only one right answer? I just don't know how exact I should be.
ReplyDeleteAn educated guess should be fine since there's no way to tell exactly what the value is.
DeleteDoes anyone know the answer to Joanna's question about how much is information is needed for 15a?
ReplyDeleteI just did a short sentence describing the motion for each interval listed. I said what the particle was doing at the time, I don't think there is any work to show.
DeleteFor problem #1 should we show MRAM, LRAM, RRAM, AND TRAP on the graph?
ReplyDeleteAndrew Saad
I tried to post these early but it didn't work.
DeleteYou don't have to necessarily, but it may help you visualize the process and eliminate possible mistakes. (i thought this posted way earlier)
DeleteMatt Bachand
Can we use MVT for problem #8?
ReplyDeleteAndrew Saad
For turn in #10 (the section for the blog comments isnt up yet) if we can see that a function diverges, how much work do we need to show?
ReplyDeleteDahvi Lupovitch
Oh, shoot! I forgot to open a new discussion board. I will do so this weekend. To answer your question, you must show the limit doesn't exist at the endpoint you are considering, and then you may state that the integral diverges.
Delete