Turn in #12 is due Wednesday, Feb. 3, 2016!
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turn-in #12, Term 2 Project, in-class
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I'm a little confused on 1b on the turn in. Can anyone explain how they did it?
ReplyDeleteI started by finding taking the derivative of f(x). From there, I found the zero of the function and used it as my slope to create an equation for line L. hope that helps!
DeleteI used the shell method instead of washers for 1b. :)
DeleteDoes anyone have any suggestions for getting started on 3a? Should we just start with the standard equation for a parabola and go from there?
ReplyDeleteYeah that's what I did. I used (y-k)=a(x-h)^2 where (h,k) is the vertex.
DeleteKeep in mind the parabola is symmetric to the y axis and passes through (0,0). Thus, you know the vertex and the general form of the function.
DeleteHi! Does anyone have any hints on when to use shells vs. washers?
ReplyDeleteYou usually use shells when it's a function like a parabola that you are rotating around the y axis or a vertical line. This is because it ceases to be a function when in terms of y.
DeleteI think you use washers the rest of the time, but there may be more cases for shells.
Shells always work. Washers are easier and should be your "go to" method. Shells become necessary when a function is not 1 to 1, as Skyeler suggests.
DeleteHey, just confirming, we only have to set up the integrals for the quiz, not solve them? Also, didn't we say that you can always manipulate the integral and use washers? I thought we did that on a warm up sometime last week.... But you said shells always worked, so am I just confusing myself here or something?
ReplyDeleteFor 2b does 'boundary' of R mean just the length of the curve or the length of the curve and its 2 other sides?
ReplyDelete-Sarah Mostofizadeh